Paper Info
Title
(Alpha, Beta, Gamma)-Cut Set Based Ranking Approach To Solving Bi-Matrix Games In Neutrosophic Environment
Abstract
Uncertainty provides an importance in decision making problems like game theory. Several types of uncertainties occur in the literature as fuzzy, soft, rough, interval, etc., and game theory is treated by these types of uncertainties and vagueness by game theorists and others in different aspects. Neutrosophic set and logic are emerged nowadays as another type of uncertainty. Single-valued triangular neutrosophic numbers liberally assume the indeterminacy in choice of elements based upon decision makers' intuition, assumption, judgement, behaviour, evaluation and decision. Here, a new ranking approach is based on the (alpha, beta, gamma)-cut of single-valued triangular neutrosophic number and is applied on bi-matrix game theory. We compare our derived results with some previously defined score and accuracy functions and put some interesting and comparatively good results without any plausible fiasco. In this paper, our principal purpose is to validate and approve the proposed contemplations by applying it on illuminating real-life problems in neutrosophic realm through bi-matrix game theory.
Year
DOI
Venue
2021
10.1007/s00500-020-05332-6
SOFT COMPUTING
Keywords
DocType
Volume
Bi-matrix game, Triangular fuzzy number, Single-valued triangular neutrosophic number, (alpha, beta, gamma)-cut set
Journal
25
Issue
ISSN
Citations 
4
1432-7643
1
PageRank 
References 
Authors
0.35
0
3
Name
Order
Citations
PageRank
Ankan Bhaumik1101.52
Sankar Kumar Roy210414.63
Deng-Feng Li396846.12