An Application of Generalized Fuzzy Soft Sets in a Social Decision Making Problem

Authors: Nisha Singhal, Usha Chouhan

Abstract:

At present, application of the extension of soft set theory in decision making problems in day to day life is progressing rapidly. The concepts of fuzzy soft set and its properties have been evolved as an area of interest for the researchers. The generalization of the concepts recently got importance and a rapid growth in the research in this area witnessed its vital-ness. In this paper, an application of the concept of generalized fuzzy soft set to make decision in a social problem is presented. Further, this paper also highlights some of the key issues of the related areas.

Keywords: Soft set, Fuzzy Soft set, Generalized Fuzzy Soft set, Membership and Non-Membership Score.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1339019

References:

[1] Zadeh L. A., “Fuzzy Sets”, Information and Control, vol. 8, 1965, pp 338-353.
[2] Molodstov DA, “Soft Set Theory-First Result". Computer and Mathematics with Applications 37, 1999, pp.19-31.
[3] Maji P.K, Roy A.R and Biswas R, “An application of Soft Set in a decision making problem”, Computers and Mathematics with Applications 44, 2002, pp. 1077–1083.
[4] Maji P. K, Biswas R and Roy A.R, “Soft Set Theory”, Computers and Mathematics with Applications 45 , 2003, pp. 555 – 562.
[5] Maji P. K, Biswas R and Roy A.R, “Fuzzy soft Sets,” Vol9, Journal of Fuzzy Mathematics, 2001, pp. 589–602.
[6] Ahmad B and Kharal Athar, “On Fuzzy Soft Sets,” Advances in Fuzzy systems, Volume 2009.
[7] Majumdar P., Samanta S.K, “Generalized Fuzzy Soft Sets”, Computer and Mathematics with applications 59, 2010, pp. 1425-1432.