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

Abstract

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.

Keywords

• soft set
• neutrosophic soft set
• ivn-soft payoff function
• ivn-soft dominated strategy