Application of interval-valued neutrosophic soft sets in decision making based on game theory

The main objective of this paper is to present the notion of interval-valued neutrosophic soft sets in game theory strategy. Interval-valued neutrosophic soft sets (in short ivn-soft sets) is a generalization of interval-valued intuitionistic fuzzy soft sets. In this article, after giving the defi...

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Bibliographic Details
Main Author: Somen Debnath
Format: Article
Language:English
Published: Prince of Songkla University 2021-08-01
Series:Songklanakarin Journal of Science and Technology (SJST)
Subjects:
Online Access:https://rdo.psu.ac.th/sjstweb/journal/43-4/25.pdf
Description
Summary:The main objective of this paper is to present the notion of interval-valued neutrosophic soft sets in game theory strategy. Interval-valued neutrosophic soft sets (in short ivn-soft sets) is a generalization of interval-valued intuitionistic fuzzy soft sets. In this article, after giving the definition of ivn-soft sets and their basic operations we define two-person ivn-soft game, which can be applied to problems containing uncertain, incomplete, inconsistent and imprecise data. We then give solution method of the games which is based on ivn-soft saddle points, ivn-soft lower values, ivn-soft upper values, ivn-soft dominated strategy and ivn-soft Nash equilibrium. We also extend the two-person ivn-soft game to n-person ivn-soft game. Finally we develop a decision-making method.
ISSN:0125-3395