ORIGINAL_ARTICLE
Smooth biproximity spaces and Psmooth quasiproximity spaces
The notion of smooth biproximity space where $\delta_1,\delta_2$ are gradation proximities defined by Ghanim et al. [10]. In this paper, we show every smooth biproximity space $(X,\delta_1,\delta_2)$ induces a supra smooth proximity space $\delta_{12}$ finer than $\delta_1$ and $\delta_2$. We study the relationship between $(X,\delta_{12})$ and the $FP^*$separation axioms which had been introduced by Ramadan et al. [23]. Furthermore, we show for each smooth bitopological space which is $FP^*T_4$, the associated supra smooth topological space is a smooth supra proximal. The notion of $FP$(resp. $FP^*$) proximity map are also introduced. In addition, we introduce the concept of $P$ smooth quasiproximity spaces and prove that the associated smooth bitopological space $(X,\tau_\delta,\tau_{\delta^{1}})$ satises $FP$separation axioms in sense of Ramadan et al. [10].
http://jlta.iauctb.ac.ir/article_533321_d540af7752325721fc98421347d7ed5e.pdf
20170401T11:23:20
20181214T11:23:20
91
107
Smooth bitopological space
supra smooth proximity
smooth quasiproximity
Compatibility
FPproximity map
O. A.
Tantawy
drosamat@yahoo.com
true
1
Department of Mathematics, Faculty of Science,
Zagaziq University, Cairo, Egypt
Department of Mathematics, Faculty of Science,
Zagaziq University, Cairo, Egypt
Department of Mathematics, Faculty of Science,
Zagaziq University, Cairo, Egypt
AUTHOR
S. A.
ElSheikh
sobhyelshikh@yahoo.com
true
2
Department of Mathematics, Faculty of Education,
Ain Shams University, Cairo, Egypt
Department of Mathematics, Faculty of Education,
Ain Shams University, Cairo, Egypt
Department of Mathematics, Faculty of Education,
Ain Shams University, Cairo, Egypt
AUTHOR
R. A.
Majeed
rashanm6@gmail.com
true
3
Department of Mathematics, Faculty of Science, Ain Shams University, Abbassia, Cairo, Egypt

Department of Mathematics, Faculty of Education Abn AlHaitham,
Baghdad University, Baghdad, Iraq
Department of Mathematics, Faculty of Science, Ain Shams University, Abbassia, Cairo, Egypt

Department of Mathematics, Faculty of Education Abn AlHaitham,
Baghdad University, Baghdad, Iraq
Department of Mathematics, Faculty of Science, Ain Shams University, Abbassia, Cairo, Egypt

Department of Mathematics, Faculty of Education Abn AlHaitham,
Baghdad University, Baghdad, Iraq
LEAD_AUTHOR
[1] S. E. Abbas, A study of smooth topological spaces, Ph.D. Thesis, South Vally University, Egypt, 2002.
1
[2] M. E. Abd ElMonsef, A. A. Ramadan, On fuzzy supratopological spaces, Indian Journal of Pure and Applied Mathematics. 18 (1987), 322329.
2
[3] G. Artico, R. Moresco, Fuzzy proximities compatible with Lowen fuzzy uniformities, Fuzzy Sets and Systems. 21 (1987), 8598.
3
[4] R. Badard, Smooth axiomatics, First IFSA Congress Palma de Mallorca, 1986.
4
[5] C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182190.
5
[6] K. C. Chattopadhyay, R. N. Hazra, S. K. Samanta, Gradation of openness: Fuzzy topology, Fuzzy Sets and Systems. 94 (1992), 237242.
6
[7] K. C. Chattopadhyay, S. K. Samanta, Fuzzy topology: Fuzzy closure operator, fuzzy compactness and fuzzy connectedness, Fuzzy Sets and Systems. 54 (1993), 207212.
7
[8] V. A. Efremovic, Infinitesimal spaces, Doklady Akad. Nauk SSSR (N.S.) (in Russian) 76 (1951), 341343.
8
[9] M. K. El Gayyar, E. E. Kerre and A.A. Ramadan, Almost compactness and near compactness in smooth topological spaces, Fuzzy Sets and Systems. 92 (1994), 193202.
9
[10] M. H. Ghanim, O. A. Tantawy, F. M. Selim, Gradations of uniformity and gradations of proximity, Fuzzy sets and Systems. 79 (1996), 373382.
10
[11] M. H. Ghanim, O. A. Tantawy, F. M. Selim, Gradation of supraopenness, Fuzzy Sets and Systems. 109 (2000), 245250.
11
[12] A. Kandil, Biproximities and fuzzy bitopological spaces, Simon Stevin. 63 (1989), 4566.
12
[13] A. Kandil, A. Nouh, S. A. ElSheikh, On fuzzy bitopological spaces, Fuzzy Sets and Systemes. 74 (1995), 353363.
13
[14] A. Kandil, A. A. Nouh, S. A. ElSheikh, Fuzzy supra proximity spaces and fuzzy biproximity spaces, J. Fuzzy Math. 3 (1995), 301315.
14
[15] A. K. Katsaras, Fuzzy proximity spaces, J. Math. Anal. Appl. 68 (1979), 100110.
15
[16] A. K. Katsaras, On fuzzy proximity spaces, J. Math. Anal. Appl. 75 (1980), 671583.
16
[17] Y. C. Kim, Mappings on fuzzy proximity and fuzzy uniform spaces, KangweonKyungki Math. Jour. 4 (1996), 149161.
17
[18] Y. C. Kim, J. W. Park, Some properties of fuzzy quasiproximity spaces, KangweonKyungki Math. Jour. 5 (1997), 3549.
18
[19] Y. C. Kim, rfuzzy semiopen sets in fuzzy bitopological spaces, Far East J. Math. Sci. special (FJMS) II. (2000), 221236.
19
[20] E. P. Lee, Y.B. Im, H. Han, Semiopen sets on smooth bitopological spaces, Far East J. Math. Sci. 3 (2001), 493511.
20
[21] A. S. Mashhour, A. A. Allam, F. S. Mohmoud, F. H. Khedr, On supra topological spaces, Indian Journal of Pure and Applied Mathematics. 14 (1983), 502510.
21
[22] A. A. Ramadan, Smooth topological spaces, Fuzzy Sets and Systems. 48 (1992), 371375.
22
[23] A. A. Ramadan, S. E. Abbas, A. A. Abd ElLatif, On fuzzy bitopological spaces in Sostak’s sense, ˇ Commun. Korean Math. Soc. 21 (2006), 497514.
23
[24] A. A. Ramadan, S. E. Abbas, A. A. ElLatif, On fuzzy bitopological spaces in Sostak’s sense (II), Commun. Korean Math. Soc. 25 (2010), 457475.
24
[25] S. K. Samanta, Fuzzy proximities and fuzzy uniformities, Fuzzy sets and Systems. 70 (1995), 97105.
25
[26] A. P. Sostak, On a fuzzy topological structure, Suppl. Rend. Circ. Matem. Palermo, Ser.II. 11 (1985), 89103.
26
[27] A. P. Sostak, Basic structures of fuzzy topology, J. Math. Sci. 78 (1996), 662701.
27
ORIGINAL_ARTICLE
Generalized inverse of fuzzy neutrosophic soft matrix
Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Aim of this article is to find the maximum and minimum solution of the fuzzy neutrosophic soft relational equations xA=b and Ax=b, where x and b are fuzzy neutrosophic soft vector and A is a fuzzy neutrosophic soft matrix. Whenever A is singular we can not find A^{1}. In that case we can use ginverse to get the solution of the above relational equations. Further, using this concept maximum and minimum ginverse of fuzzy neutrosophic soft matrix are obtained.
http://jlta.iauctb.ac.ir/article_533322_639b7bf9124658b2e1e4d737ed931b05.pdf
20170401T11:23:20
20181214T11:23:20
109
123
Fuzzy Neutrosophic Soft Set (FNSS)
Fuzzy Neutrosophic Soft Matrix (FNSM)
ginverse
R.
Uma
uma83bala@gmail.com
true
1
Department of Mathematics, Annamalai University, Annamalainagar608002, India
Department of Mathematics, Annamalai University, Annamalainagar608002, India
Department of Mathematics, Annamalai University, Annamalainagar608002, India
LEAD_AUTHOR
P.
Murugadas
bodi_muruga@yahoo.com
true
2
Department of Mathematics, Annamalai University, Annamalainagar608002. India
Department of Mathematics, Annamalai University, Annamalainagar608002. India
Department of Mathematics, Annamalai University, Annamalainagar608002. India
AUTHOR
S.
Sriram
ssm_3096@yahoo.co.in
true
3
Mathematics Wing, Directorate of Distance Education, Annamalai University,
Annamalainagar608002, India
Mathematics Wing, Directorate of Distance Education, Annamalai University,
Annamalainagar608002, India
Mathematics Wing, Directorate of Distance Education, Annamalai University,
Annamalainagar608002, India
AUTHOR
[1] I. Arockiarani, I. R. Sumathi, J. Martina Jency, Fuzzy Neutrosophic soft topological spaces, Int. J. Math. Archive. 4 (10) (2013), 225238.
1
[2] I. Arockiarani, I. R. Sumathi, A fuzzy neutrosophic soft Matrix approach in decision making, J. Global Research Math. Archives. 2 (2) (2014), 1423.
2
[3] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy sets and systems. 20 (1986), 8796.
3
[4] H. H. Cho, Fuzzy Matrices and Fuzzy Equation, Fuzzy sets and system. 105 (1999), 445451.
4
[5] F. Smarandache, Neutrosophy, Neutrosophic Probability, Set, and Logic, Pn USA, 1998.
5
[6] I. Deli, Npnsoft sets theory and their applications, viXra: 1508.0402.
6
[7] K. Cechlarova, Unique solvability of Maxmin fuzzy equations and strong regularity of matrices over fuzzy algebra, Fuzzy sets and systems. 75 (1975), 165177.
7
[8] J. X. Li, The smallest solution of maxmin fuzzy equations, Fuzzy sets and system. 41 (1990), 317327.
8
[9] P. K. Maji, R. Biswas, A. R. Roy, Fuzzy Soft set, The journal of fuzzy mathematics. 9 (3) (2001), 589602.
9
[10] P. K. Maji, R. Biswas, A. R. Roy, Intuitionistic Fuzzy Soft sets, journal of fuzzy mathematics. 12 (2004), 669683.
10
[11] D. Molodtsov, Soft set theory first results, Computer and mathematics with applications, 37 (1999), 1931.
11
[12] P. Murugadas, Contribution to a study on Generalized Fuzzy Matrices, P.hD., Thesis, Department of Mathematics, Annamalai University, 2011.
12
[13] P. K. Maji, Neutrosophic soft set, Annals of Fuzzy Mathematics and Informatics. 5 (2013), 157168.
13
[14] W. Pedrycz, Fuzzy relational equations with generalized connectives and their application, Fuzzy sets and system. 10 (1983), 185201.
14
[15] S. Broumi, R. Sahin, F. Smarandache, Generalized interval Neutrosophic soft set and its Decision Making Problem, Journal of New Results in Science. 7 (2014), 2947.
15
[16] F. Smarandache, Neutrosophic set, a generalisation of the intuitionistic fuzzy set, Int. J. Pure Appl. Math. 24 (2005), 287297.
16
[17] T. M. Basu, Sh. K. Mondal Neutrosophic Soft Matrix and its application in solving Group Decision making Problems from Medical Science, Computer Communication and Collaboration. 3 (1) (2015), 131.
17
[18] R. Uma, P. Murugadas, S. Sriram, Fuzzy Neutrosophic Soft Matrices of TypeI and TypeII, Communicated.
18
ORIGINAL_ARTICLE
Fuzzy $\bigwedge_{e}$ Sets and Continuity in Fuzzy Topological spaces
We introduce a new class of fuzzy open sets called fuzzy $\bigwedge_e$ sets which includes the class of fuzzy $e$open sets. We also define a weaker form of fuzzy $\bigwedge_e$ sets termed as fuzzy locally $\bigwedge_e$ sets. By means of these new sets, we present the notions of fuzzy $\bigwedge_e$ continuity and fuzzy locally $\bigwedge_e$ continuity which are weaker than fuzzy $e$continuity and furthermore we investigate the relationships between these new types of continuity and some others.
http://jlta.iauctb.ac.ir/article_533323_8524bd2f3ab8a19c58ef499ab71899c5.pdf
20170401T11:23:20
20181214T11:23:20
125
134
fuzzy $bigwedge_e$ set
fuzzy $bigvee_e$ set
fuzzy locally $bigwedge_e$ set
fuzzy $bigwedge_e$ continuity
fuzzy locally $bigwedge_e$ continuity
A.
Vadivel
avmaths@gmail.com
true
1
Department of Mathematics, Annamalai University, Annamalai Nagar,
Tamil Nadu 608 002, India
Department of Mathematics, Annamalai University, Annamalai Nagar,
Tamil Nadu 608 002, India
Department of Mathematics, Annamalai University, Annamalai Nagar,
Tamil Nadu 608 002, India
AUTHOR
B.
Vijayalakshmi
mathvijaya2006au@gmail.com
true
2
Department of Mathematics, Annamalai University, Annamalai Nagar,
Tamil Nadu 608 002, India
Department of Mathematics, Annamalai University, Annamalai Nagar,
Tamil Nadu 608 002, India
Department of Mathematics, Annamalai University, Annamalai Nagar,
Tamil Nadu 608 002, India
LEAD_AUTHOR
[1] K. K. Azad, On fuzzy semi continuity, fuzzy almost continuity and fuzzy weakly continuity, J. Math. Anal. Appl. 82 (1981), 1432.
1
[2] F. G. Arenas, J. Dontchev, M. Ganster, On $lambda$ sets and the dual of generalized continuity, Questions and answers in General Topology. 15 (1997), 313.
2
[3] A. Bhattacharyya, M. N. Mukherjee, On fuzzy δalmost continuous and δ ∗almost continuous functions, J. Tripura Math. Soc. 2 (2000), 4557.
3
[4] A. S. Bin Shahna, On fuzzy strong semicontinuity and fuzzy precontinuity, Fuzzy Sets and Systems. 44 (1991), 303308.
4
[5] C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182189.
5
[6] S. Debnath, On fuzzy δ semi continuous functions, Acta Cienc. Indica Math. 34 (2) (2008), 697703.
6
[7] E. Ekici, On eopen sets, DP*sets and DPE*sets and decomposition of coninuity, Arabian Journal for Science and Engineering. 33 (2A) (2008), 269282.
7
[8] E. Ekici, On e ∗open sets and (D, S) ∗ sets, Mathematica Moravica. 13 (1) (2009), 2936.
8
[9] E. Ekici, On aopen sets A∗sets and decompositions of continuity and supercontinuity, Annales Univ. Sci. Budapest. E¨otv¨os Sect. Math. 51 (2008), 3951.
9
[10] E. Ekici, Some generalizations of almost contrasupercontinuity, Filomat. 21 (2) (2007), 3144.
10
[11] E. Ekici, New forms of contracontinuity, Carpathian Journal of Mathematics. 24 (1) (2008), 3745.
11
[12] J. H. Park, B. Y. Lee, Fuzzy semipreopen sets and fuzzy semiprecontinuous mappings, Fuzzy Sets and Systems. 67 (1994), 395364.
12
[13] S. Ganguly, S. Saha, A note on semiopen sets in fuzzy topological spaces, Fuzzy Sets and Systems. 18 (1986), 8396.
13
[14] P. P. Ming, L. Y. Ming, Fuzzy topology I, neighbourhood stucture of a fuzzy point and mooresmith convergence, J. Math. Anal. Appl. 76 (2) (1980), 571599.
14
[15] H. Maki, Generalized sets and the associated closure operator, The special issue in commemoration of Professor Kazusada IKEDS Retirement, (1986), 139146.
15
[16] M. N. Mukherjee, S. P. Sinha, On some weaker forms of fuzzy continuous and fuzzy open mappings on fuzzy topological spaces, Fuzzy Sets and Systems. 32 (1989), 103114.
16
[17] A. Mukherjee, S. Debnath, δsemi open sets in fuzzy setting, Journal Tri. Math. Soc. 8 (2006), 5154.
17
[18] M. S. El Naschie, On the uncertainity of cantorian geometry and the twoslit experiment, Chaos, Solitons and Fractals. 9 (3) (1998), 517529.
18
[19] M. S. El Naschie, On the unification of heterotic strings, M theory and e∞ theory, Chaos, Solitons and Fractals. 11 (14) (2000), 23972408.
19
[20] M. S. El Naschie, On a fuzzy Kahlerlike manifold which is consistent with the two slit experiment, Int journal of Nonlinear Sci Numer Simul. 6 (2005), 9598.
20
[21] A. A. Ramadan, Smooth topological spaces, Fuzzy Sets and Systems. 48 (1992), 371375.
21
[22] M. K. Singal, N. Prakash, Fuzzy Preopen sets and fuzzy preseparation axioms, Bull. Call. Math. Soc. 78 (1986), 5769.
22
[23] V. Seenivasan, K. Kamala, Fuzzy econtinuity and fuzzy eopen sets, Annals of Fuzzy Mathematics and Informatics. 8 (1) (2014), 141148.
23
[24] S. S. Thakur, S. Singh, On fuzzy semipreopen sets and fuzzy semiprecontinuity, Fuzzy sets and systems. 98 (1998), 383391.
24
[25] W. Shi, K. Liu, A fuzzy topology for computing the interior, boundary and exterior of spatial objects quantitatively in GIS, Comput Geosci. 33 (2007), 898915.
25
[26] L. A. Zadeh, Fuzzy sets, Information Control. 8 (1965), 338353.
26
ORIGINAL_ARTICLE
On the energy of noncommuting graphs
For given nonabelian group G, the noncommuting (NC)graph $\Gamma(G)$ is a graph with the vertex set $G$\ $Z(G)$ and two distinct vertices $x, y\in V(\Gamma)$ are adjacent whenever $xy \neq yx$. The aim of this paper is to compute the spectra of some wellknown NCgraphs.
http://jlta.iauctb.ac.ir/article_533324_9f45bd65ff45087ed1b8239c49ace15d.pdf
20170401T11:23:20
20181214T11:23:20
135
146
Noncommuting graph
characteristic polynomial
linear group
M.
Ghorbani
mghorbani@sru.ac.ir
true
1
Department of Mathematics, Faculty of Science, Shahid Rajaee
Teacher Training University, Tehran, 16785136, Iran
Department of Mathematics, Faculty of Science, Shahid Rajaee
Teacher Training University, Tehran, 16785136, Iran
Department of Mathematics, Faculty of Science, Shahid Rajaee
Teacher Training University, Tehran, 16785136, Iran
LEAD_AUTHOR
Z.
GharaviAlkhansari
hg.paper@gmail.com
true
2
Department of Mathematics, Faculty of Science, Shahid Rajaee
Teacher Training University, Tehran, 16785136, Iran
Department of Mathematics, Faculty of Science, Shahid Rajaee
Teacher Training University, Tehran, 16785136, Iran
Department of Mathematics, Faculty of Science, Shahid Rajaee
Teacher Training University, Tehran, 16785136, Iran
AUTHOR
[1] A. Abdollahi, S. Akbari, H. R. Maimani, Noncommuting graph of a group, J. Algebra. 298 (2006), 468492.
1
[2] M. R. Darafsheh, Groups with the same noncommuting graph, Discrete Appl. Math. 157 (2009), 833837.
2
[3] M. Ghorbani, Z. GharaviAlKhansari, An algebraic study of noncommuting graphs, Filomat. 31 (2017), 663 669.
3
[4] I. Gutman, The energy of a graph, Ber. Math. Statist. Sekt. Forschungsz Graz. 103 (1978), 122.
4
[5] A. R. Moghaddamfar, W. J. Shi, W. Zhou, A. R. Zokayi, On the noncommuting graph associated with a finite group, Siberian Math. J. 46 (2005), 325332.
5
[6] G. L. Morgan, C. W. Parker, The diameter of the commuting graph of a finite group with trivial centre, J. Algebra 393 (2013), 4159.
6
[7] B. H. Neumann, A problem of Paul Erd˝os on groups, J. Austral. Math. Soc. Ser. A. 21 (1976). 467472.
7
ORIGINAL_ARTICLE
An implicit finite difference scheme for analyzing the effect of body acceleration on pulsatile blood flow through a stenosed artery
With an aim to investigate the effect of externally imposed body acceleration on two dimensional,pulsatile blood flow through a stenosed artery is under consideration in this article. The blood flow has been assumed to be nonlinear, incompressible and fully developed. The artery is assumed to be an elastic cylindrical tube and the geometry of the stenosis considered as time dependent, and a comparison has been made with the rigid ones. The shape of the stenosis in the arterial lumen is chosen to be axially nonsymmetric but radially symmetric in order to improve resemblance to the invivo situations. The resulting system of nonlinear partial differential equations is numerically solved using the CrankNicolson scheme by exploiting the suitably prescribed conditions. The blood flow characteristics such as the velocity profile, the volumetric flow rate and the resistance to flow are obtained and effects of the severity of the stenosis, the body acceleration on these flow characteristics are discussed. The present results are compared with literature and found to be in agreement.
http://jlta.iauctb.ac.ir/article_533325_014d94023aabcbc5ed411a0e28073b79.pdf
20170401T11:23:20
20181214T11:23:20
147
161
Blood Flow
Stenosed Artery
CrankNicolson Scheme
Body acceleration
A.
Haghighi
ah.haghighi@gmail.com
true
1
Department of Mathematics, Faculty of shahid beheshti, Urmia Branch Technical and Vocational University(TVU), Tehran, Iran
Department of Mathematics, Faculty of shahid beheshti, Urmia Branch Technical and Vocational University(TVU), Tehran, Iran
Department of Mathematics, Faculty of shahid beheshti, Urmia Branch Technical and Vocational University(TVU), Tehran, Iran
LEAD_AUTHOR
N.
Aliashrafi
naliashrafi@yahoo.com
true
2
Department of Mathematics, Urmia University of Thechnology, Urmia, Iran
Department of Mathematics, Urmia University of Thechnology, Urmia, Iran
Department of Mathematics, Urmia University of Thechnology, Urmia, Iran
AUTHOR
N.
Asghary
nasim.asghary@gmail.com
true
3
Department of Mathematics, Islamic azad university, Central Tehran Branch, Tehran, Iran
Department of Mathematics, Islamic azad university, Central Tehran Branch, Tehran, Iran
Department of Mathematics, Islamic azad university, Central Tehran Branch, Tehran, Iran
AUTHOR
[1] N. Ali, A. Zaman, M. Sajid, Unsteady blood flow through a tapered stenotic artery using Sisko model, Comput Fluids. 101 (2014), 4249.
1
[2] E. Belardinelli, S. Cavalcanti, A new nonlinear twodimensional model of blood motion in tapered and elastic vessels, Computers in Biology and Medicine. 21 (1991), 113.
2
[3] S. Chakravarty, P. K. Mandal, Twodimensional blood flow through tapered arteries under stenotic conditions, International Journal of NonLinear Mechanics. 35 (5) (2000), 779793.
3
[4] M. Deshpande, D. Giddens, F. Mabon, Steady laminar flow through modelled vascular stenoses, J. Biomech. 9 (1976), 165174.
4
[5] A. R. Haghighi, S. A. Chalak, Mathematical modeling of blood flow through a stenosed artery under body acceleration, Journal of the Brazilian Society of Mechanical Sciences and Engineering. 39 (7) (2017), 2487
5
[6] A. R. Haghighi, M.S. Asl, Mathematical modeling of micropolar fluid flow through an overlapping arterial
6
stenosis, International Journal of Biomathematics. (8) (4) (2015), —.
7
[7] A. R. Haghighi, M. S. Asl, and M. Kiyasatfar, Mathematical modeling of unsteady blood flow through elastic tapered artery with overlapping stenosed, Journal of the Braziliam Society of Mechanical Sciences and Engineering. (2014) .
8
[8] H. A. Hogan, M. Henriksen, An evaluation of a micropolar model for blood flow through an idealized stenosis, J Biomech. 22 (3) (1989) 21218
9
[9] M. Ikbal, S. Chakravarty, K. Wong, J. Mazumdar, P. Mandal, Unsteady response of NonNewtonian blood flow through a stenosed artery in magnetic field, Journal of Computational and Applied Mathematics. 230 (1) (2009), 243259.
10
[10] M. Ikbal, S. Chakravarty, P. Mandal, Twolayered micropolar fluid flow through stenosed artery: effect of peripheral layer thickness, Computers andt Mathematics with Applications. 58 (7) (2009), 13281339.
11
[11] Z. Ismail, I. Abdullah, N. Mustapha, A. Amin, A powerlaw model of blood flow through a tapered overlapping stenosed artery, Appl Math Comput. 195 (2013), 669680.
12
[12] G. Liu, X. Wang, B. Ai, L. Liu, numerical study of pulsating flow through a tapered artery with stenosis, Chin J Phys. 42 (2012), 401409.
13
[13] P. Mandal, S. Chakravarty, A. Mandal, A. Amin, Effect of body acceleration on unsteady pulsatile flow of nonNewtonian fluid through a stenosed artery, Applied Mathematics and Computation. 189 (2007), 766779.
14
[14] P. F. Marques, M. E. C. Oliveira, A. S. Franca, M. Pinotti, Modeling and simulation of pulsatile blood flow with a physiologic wave pattern, Artif Organs. 27 (5) (2003), 458478.
15
[15] C. D. Mathers, and D. Loncar, Projections of global mortality and burden of disease from 2002 to 2030, PLoS Med. 3 (11) e442 (2006).
16
[16] J.C. Misra, and G. C. Shit, Flow of a biomagnetic viscoelastic fluid in a channel with stretching walls, Journal of Applied Mechanics. 76 (6) (2009), 061006.
17
[17] S. Mukhopadhyay, and G. Layek, Numerical modeling of a stenosed artery using mathematical model of variable shape, AAM Intern. 3(6) (2008) 308328.
18
[18] N. Mustapha, N. Amin, S. Chakravarty, P. Mandal, Unsteady magnetohydrodynamic blood flow through irregular multistenosed arteries, Computers in Biology and Medicine. 39 (2009), 896906.
19
[19] R. Ponalagusamy, R. Tamil Selvi, A study on twolayered model (CassonNewtonian) for blood flow through an arterial stenosis: axially variable slip velocity at the wall, Journal of the Franklin Institute. 348 (9) (2011), 23082321.
20
[20] J. Prakash, and A. Ogulu, A study of pulsatile blood flow modeled as a power law fluid in a constricted tube, Int Commun Heat Mass. 34 (2007), 762768.
21
[21] D. Sankar, U. Lee, FDM analysis for MHD flow of a nonNewtonian fluid for blood flow in stenosed arteries, J. Mech. Sci. Technol. 25 (10) (2001), 25732581.
22
[22] D. Sankar, U. Lee, Mathematical modeling of pulsatile flow of nonNewtonian fluid in stenosed arteries, Communications in Nonlinear Science and Numerical Simulation. 14 (7) (2009), 29712981.
23
[23] S. Shaw, P. Murthy, S. Pradhan, P. Mandal, The effect of body acceleration on two dimensional flow of Casson fluid through an artery with asymmetric stenosis, The Open Transport Phenomena Journal. 2 (2010), 5568.
24
[24] D.S. Shankar, U. Lee, Nonlinear mathematical analysis for blood flow in a constricted artery under periodic body acceleration, Communications in Nonlinear Science and Numerical Simulation. 16 (11) (2011), 4390 4402.
25
[25] G. C. Shit, M. Roy, Pulsatile flow and heat transfer of a magnetomicropolar fluid through a stenosed artery under the influence of body acceleration, Journal of Mechanics in Medicine and Biology. 11 (03) (2011), 643661.
26
[26] G. C. Shit, S. Majee, Pulsatile flow of blood and heat transfer with variable viscosity under magnetic and vibration environment, Journal of Magnetism and Magnetic Material. 388 (2015), 106115.
27
[27] S. Siddiqui, N. Verma, S. Mishra, R. Gupta, Mathematical modelling of pulsatile flow of Cassons fluid in arterial stenosis, Appl Math Comput. 210 (1) (2009), 110.
28
[28] S. Singh, Numerical modeling of twolayered micropolar fluid through an normal and stenosed artery, IJE Transactions A: Basics. 24 (2) (2011), 177.
29
[29] N. Srivastava, The Casson fluid model for blood flow through an inclined tapered artery of an accelerated body in the presence of magnetic field, Int. J. Biomedical Engineering and Technology. 15 (3) (2014), 7091.
30
[30] G. Zendehbudi, M. Moayeri, Comparison of physiological and simple pulsatile flows through stenosed arteries, J Biomech. 32 (1999), 959965.
31
ORIGINAL_ARTICLE
Initial value problems for second order hybrid fuzzy differential equations
Usage of fuzzy differential equations (FDEs) is a natural way to model dynamical systems under possibilistic uncertainty. We consider second order hybrid fuzzy differentia
http://jlta.iauctb.ac.ir/article_533326_84907608358b2c620c2a23ef832db33f.pdf
20170401T11:23:20
20181214T11:23:20
163
170
M.
Otadi
mahmoodotadi@yahoo.com
true
1
Department of Mathematics, Firoozkooh Branch, Islamic Azad
University, Firoozkooh, Iran
Department of Mathematics, Firoozkooh Branch, Islamic Azad
University, Firoozkooh, Iran
Department of Mathematics, Firoozkooh Branch, Islamic Azad
University, Firoozkooh, Iran
LEAD_AUTHOR
[1] S. Abbasbandy, J. J. Nieto, M. Alavi, Tuning of reachable set in one dimensional fuzzy differential inclusions, Chaos, Solitons & Fractals. 26 (2005), 13371341.
1
[2] S. Abbasbandy, T. Allaviranloo, O. LopezPouso, J.J. Nieto, Numerical methods for fuzzy differential inclusions, Computers & Mathematics with Applications. 48 (2004), 16331641.
2
[3] S. Abbasbandy, M. Otadi, Numerical solution of fuzzy polynomials by fuzzy neural network, Appl. Math. Comput. 181 (2006), 10841089.
3
[4] S. Abbasbandy, M. Otadi, M. Mosleh, Numerical solution of a system of fuzzy polynomials by fuzzy neural network, Inform. Sci. 178 (2008), 19481960.
4
[5] G. Alefeld, J. Herzberger, Introduction to Interval Computations, Academic Press, New York, 1983.
5
[6] T. Allahviranloo, E. Ahmady, N. Ahmady, Nthorder fuzzy linear differential eqations, Inform. Sci. 178 (2008), 13091324.
6
[7] T. Allahviranloo, N. A. Kiani, M. Barkhordari, Toward the existence and uniqueness of solutions of secondorder fuzzy differential equations, Inform. Sci. 179 (2009), 12071215.
7
[8] T. Allahviranloo, N. A. Kiani, N. Motamedi, Solving fuzzy differential equations by differential transformation method, Inform. Sci. 179 (2009), 956966.
8
[9] B. Bede, S. G. Gal, Generalizations of the differentiability of fuzzy number value functions with applications to fuzzy differential equations, Fuzzy Sets and Systems. 151 (2005), 581599.
9
[10] B. Bede, I. J. Rudas, A. L. Bencsik, First order linear fuzzy differential eqations under generalized d
10
ORIGINAL_ARTICLE
Minimal solution of fuzzy neutrosophic soft matrix
The aim of this article is to study the concept of unique solvability of maxmin fuzzy neutrosophic soft matrix equation and strong regularity of fuzzy neutrosophic soft matrices over Fuzzy Neutrosophic Soft Algebra (FNSA). A Fuzzy Neutrosophic Soft Matrix (FNSM) is said to have Strong, Linear Independent (SLI) column (or, in the case of fuzzy neutrosophic soft square matrices, to be strongly regular) if for some fuzzy neutrosophic soft vector b the system A⊗x = b has a unique solution. A necessary and sufficient condition for linear system of equation over a FNSA to have a unique solution is formulated and the equivalent condition for FNSM to have SLI column and Strong Regular (SR) are presented. Moreover trapezoidal algorithm for testing these properties is reviewed.
http://jlta.iauctb.ac.ir/article_533327_74da956312fe45673e182a75a5660697.pdf
20170401T11:23:20
20181214T11:23:20
171
190
Fuzzy Neutrosophic Soft Set (FNSS)
Fuzzy Neutrosophic Soft Matrix (FNSM)
linear system of equation
unique solvability
strong regularity algorithms
M.
Kavitha
kavithakathir3@gmail.com
true
1
Department of Mathematics, Annamalai University, Annamalainagar608002, India
Department of Mathematics, Annamalai University, Annamalainagar608002, India
Department of Mathematics, Annamalai University, Annamalainagar608002, India
LEAD_AUTHOR
P.
Murugadas
bodi_muruga@yahoo.com
true
2
Department of Mathematics, Government Arts college (Autonomous), Karur, India
Department of Mathematics, Government Arts college (Autonomous), Karur, India
Department of Mathematics, Government Arts college (Autonomous), Karur, India
AUTHOR
S.
Sriram
ssm_3096@yahoo.co.in
true
3
Mathematics Wing, Directorate of Distance Education, Annamalai University,
Annamalainagar608002, India
Mathematics Wing, Directorate of Distance Education, Annamalai University,
Annamalainagar608002, India
Mathematics Wing, Directorate of Distance Education, Annamalai University,
Annamalainagar608002, India
AUTHOR
[1] I. Arockiarani, I. R. Sumathi, A Fuzzy Neutrosophic Soft Matrix Approach in Decision Making, J. Global Research in Mathematical Archives. 2 (2014), 1423.
1
[2] K. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy Sets and System. 20 (1983), 8796.
2
[3] P. Butkovic, Strong Regularity of Matricesa Survey of Results, Discrete Application Mathematics. 48 (1994), 4568.
3
[4] P. Butkovic, K. Cechlarova, P. Szabo, Strong Linear Independence in Bottleneck Algebra, Linear Algebra Application 94 (1987), 133155.
4
[5] P. Butkovic, F. Hevery, A Condition for the Strong Regularity of Matrices in the Minimax Algebra, Discrete Application Mathematics. 11 (1985), 209222.
5
[6] P. Butkovic, P. Szabo, An Algorithm for Checking Strong Regularity of Matrices in the Bottleneck Algebra, Research Report F14041,P. J. Safarik University, Kosice, (1985).
6
[7] R. A. CuninghameGreen, Minimax Algebra, Lecture note in Econamic and Mathematics System, 166 Springer, Berlin, (1979).
7
[8] K. Cechlarova, Strong Regularity of Matrices in a Discrete Bottleneck Algebra, Linear Algebra Application. 128 (1990), 3550.
8
[9] F. Smarandache, Neutrosophy, Neutrosophic probability, Set, and Logic, USA, 105 (1998).
9
[10] S. Z. Guo, P. Z. Wang, A. Di Nola, S. Sesa, Further Contributions to the Study of Finite Fuzzy Relation Equations, Fuzzy Sets and System. 26 (1988), 93104.
10
[11] M. Higashi, G. J. Klir, Resolution of Finite Fuzzy Relation Equation, Fuzzy Sets and System. 13 (1984), 6582.
11
[12] Li JianXin, The Smallest Solution of Maxmin Fuzzy Equations, Fuzzy Sets and System. 41 (1990), 317327.
12
[13] K. Cechlarova, Unique Solvability of maxmin Fuzzy Equations and Strong Regularity of Matrices over Fuzzy Algebra, Fuzzy Sets and System. 75 (1995), 165177.
13
[14] D. Molodtsov, Soft Set Theory First Results, Computer and Mathematics with Application. 37 (1999), 1931.
14
[15] P. K. Maji, R. Biswas, A.R.Roy, Fuzzy Soft Set, The Journal of Fuzzy Mathematics. 9 (3) (2001), 589602.
15
[16] P. K. Maji, R. Biswas, A. R. Roy, Intuitionistic Fuzzy Soft Sets, The Journal of Fuzzy Mathematics. 12 (2004), 669683.
16
[17] P. Rajarajeswari, P. Dhanalakshmi, Intuitionistic Fuzzy Soft Matrix Theory and it Application in Medical Diagnosis, Annals of Fuzzy Mathematics and Informatics. 7 (5) (2014), 765772.
17
18] I. R. Sumathi, I. Arockiarani, New Operation on Fuzzy Neutrosophic Soft Matrices, International Journal of Innovative Research and Studies. 13 (3) (2014), 110124.
18
[19] E. Sanchez, Resolution of Composite Fuzzy Relations , Information and Control. 30 (1976), 3848.
19
[20] F. Smarandache, Neutrosophic Set a Generalization of the Intuitionistic Fuzzy Set, International Journal of Pure Application Mathematics. 24 (2005), 287297.
20
[21] R. Uma, P. Murugadas, S. Sriram, Fuzzy Neutrosophic Soft Matrices of TypeI and TypeII, Communicated.
21
[22] K. Zimmermann, Extremal Algebra, Ekon. Ustav CSAV, Praha, (1976) (in Czech).
22
[23] L. A. Zadeh, Fuzzy Sets, Information and Control. 8 (1965), 338353.
23