Minimal solution of fuzzy neutrosophic soft matrix
Subject Areas : Linear and multilinear algebra; matrix theoryM. Kavitha 1 , P. Murugadas 2 , S. Sriram 3
1 - Department of Mathematics, Annamalai University, Annamalainagar-608002, India
2 - Department of Mathematics, Government Arts college (Autonomous), Karur, India
3 - Mathematics Wing, Directorate of Distance Education, Annamalai University,
Annamalainagar-608002, India
Keywords:
Abstract :
[1] I. Arockiarani, I. R. Sumathi, A Fuzzy Neutrosophic Soft Matrix Approach in Decision Making, J. Global Research in Mathematical Archives. 2 (2014), 14-23.
[2] K. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy Sets and System. 20 (1983), 87-96.
[3] P. Butkovic, Strong Regularity of Matrices-a Survey of Results, Discrete Application Mathematics. 48 (1994), 45-68.
[4] P. Butkovic, K. Cechlarova, P. Szabo, Strong Linear Independence in Bottleneck Algebra, Linear Algebra Application 94 (1987), 133-155.
[5] P. Butkovic, F. Hevery, A Condition for the Strong Regularity of Matrices in the Minimax Algebra, Discrete Application Mathematics. 11 (1985), 209-222.
[6] P. Butkovic, P. Szabo, An Algorithm for Checking Strong Regularity of Matrices in the Bottleneck Algebra, Research Report F-1404-1,P. J. Safarik University, Kosice, (1985).
[7] R. A. Cuninghame-Green, Minimax Algebra, Lecture note in Econamic and Mathematics System, 166 Springer, Berlin, (1979).
[8] K. Cechlarova, Strong Regularity of Matrices in a Discrete Bottleneck Algebra, Linear Algebra Application. 128 (1990), 35-50.
[9] F. Smarandache, Neutrosophy, Neutrosophic probability, Set, and Logic, USA, 105 (1998).
[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), 93-104.
[11] M. Higashi, G. J. Klir, Resolution of Finite Fuzzy Relation Equation, Fuzzy Sets and System. 13 (1984), 65-82.
[12] Li Jian-Xin, The Smallest Solution of Max-min Fuzzy Equations, Fuzzy Sets and System. 41 (1990), 317-327.
[13] K. Cechlarova, Unique Solvability of max-min Fuzzy Equations and Strong Regularity of Matrices over Fuzzy Algebra, Fuzzy Sets and System. 75 (1995), 165-177.
[14] D. Molodtsov, Soft Set Theory First Results, Computer and Mathematics with Application. 37 (1999), 19-31.
[15] P. K. Maji, R. Biswas, A.R.Roy, Fuzzy Soft Set, The Journal of Fuzzy Mathematics. 9 (3) (2001), 589-602.
[16] P. K. Maji, R. Biswas, A. R. Roy, Intuitionistic Fuzzy Soft Sets, The Journal of Fuzzy Mathematics. 12 (2004), 669-683.
[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), 765-772.
18] I. R. Sumathi, I. Arockiarani, New Operation on Fuzzy Neutrosophic Soft Matrices, International Journal of Innovative Research and Studies. 13 (3) (2014), 110-124.
[19] E. Sanchez, Resolution of Composite Fuzzy Relations , Information and Control. 30 (1976), 38-48.
[20] F. Smarandache, Neutrosophic Set a Generalization of the Intuitionistic Fuzzy Set, International Journal of Pure Application Mathematics. 24 (2005), 287-297.
[21] R. Uma, P. Murugadas, S. Sriram, Fuzzy Neutrosophic Soft Matrices of Type-I and Type-II, Communicated.
[22] K. Zimmermann, Extremal Algebra, Ekon. Ustav CSAV, Praha, (1976) (in Czech).
[23] L. A. Zadeh, Fuzzy Sets, Information and Control. 8 (1965), 338-353.