Application of Intuitionistic Fuzzy Soft Matrices in Decision Making Problems

B.K. Saikia; Hiteswar Boruah; P.K. Das

doi:https://doi.org/10.14445/22315373/IJMTT-V4I11P2

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 4 | Issue 11 | Year 2013 | Article Id. IJMTT-V4I11P2 | DOI : https://doi.org/10.14445/22315373/IJMTT-V4I11P2

Application of Intuitionistic Fuzzy Soft Matrices in Decision Making Problems

B.K. Saikia , Hiteswar Boruah , P.K. Das

Abstract

Fuzzy soft matrices and intuitionistic fuzzy soft matrices have recently been applied in many fields of real life scenario. Here we introduce different types of T-product of intuitionistic fuzzy soft matrices and study its properties. Then a new methodology has been developed involving T-product to solve intuitionistic fuzzy soft set based real life decision making problems which may involve more than one decision maker. Moreover, we have presented another example of decision making problem based on one of the products of intuitionistic fuzzy soft matrices.

Keywords

Soft sets, intuitionistic fuzzy soft sets, fuzzy soft matrices, intuitionistic fuzzy soft matrices.

References

[1] K. T. Atanassov, “Intuitionistic fuzzy sets”, Fuzzy Sets and Systems, 20(1986) 87-96.
[2] K. T. Atanassov, “Intuitionistic Fuzzy Soft Sets-Theory and Applications,” Physical Verlag, A Springer-Verlag Company, New York(1999).
[3] T. M. Basu, N. K. Mahapatra and S.K. Mondal, “Different Types of Matrices in Soft Set Theory and Their Applications in Decision Making Problems,” IRACST Vol.2(3)(2012), 389-398.
[4] T. M. Basu, N. K. Mahapatra and S.K. Mondal, “Matrices in Soft Set Theory and Their Applications in Decision Making Problems,” Asian Journal of Mathematics, Vol.2(2)(2012), 126-143.
[5] T. M. Basu, N. K. Mahapatra and S.K. Mondal, “Different Types of Matrices in Intuitionistic Fuzzy Soft Set Theory and Their Application in Predicting Terrorist Attack,” IJMIE Vol.2, Issue- 9, 2249-0558.
[6] N. Ca man, S. Engino lu, “Soft Set - Theory and Uni-int Decision Making”, European Journal of Operational Research, 207(2010) 848-855.
[7] N. Ca man and S. Engino lu, “Fuzzy Soft Matrix Theory and Its Application in Decision Making,” Iranian Journal of Fuzzy Systems, Vol.9(1),(2012).
[8] Ca man, N., Engino lu, S.,“Soft Matrix Theory and Its Decision Making,” Computers and Mathematics with Applications, 59(2010)3308-3314.
[9] B. Chetia and P. K. Das, “Some Results of Intuitionistic Fuzzy Soft Matrix Theory”, Pelagia Research Library, Advances in Applied Science Research, 2012, 3(1) 412-423.
[10] B. Chetia and P. K. Das, “On Fuzzy Soft Matrix Theory”, Journal of Assam Academy of Mathematics, 2010, Vol.2,71-83.

Citation :

B.K. Saikia , Hiteswar Boruah , P.K. Das, "Application of Intuitionistic Fuzzy Soft Matrices in Decision Making Problems," International Journal of Mathematics Trends and Technology (IJMTT), vol. 4, no. 11, pp. 254-265, 2013. Crossref, https://doi.org/10.14445/22315373/IJMTT-V4I11P2