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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Autor principal:	Somen Debnath
Formato:	article
Lenguaje:	EN
Publicado:	Prince of Songkla University 2021
Materias:	soft set neutrosophic soft set ivn-soft payoff function ivn-soft dominated strategy Technology T Technology (General) T1-995 Science Q Science (General) Q1-390
Acceso en línea:	https://doaj.org/article/46de34738db347bd9f2b13945c9831de
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id	oai:doaj.org-article:46de34738db347bd9f2b13945c9831de
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spelling	oai:doaj.org-article:46de34738db347bd9f2b13945c9831de2021-11-07T16:55:27ZApplication of interval-valued neutrosophic soft sets in decision making based on game theory10.14456/sjst-psu.2021.1450125-3395https://doaj.org/article/46de34738db347bd9f2b13945c9831de2021-08-01T00:00:00Zhttps://rdo.psu.ac.th/sjstweb/journal/43-4/25.pdfhttps://doaj.org/toc/0125-3395The 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.Somen DebnathPrince of Songkla Universityarticlesoft setneutrosophic soft setivn-soft payoff functionivn-soft dominated strategyTechnologyTTechnology (General)T1-995ScienceQScience (General)Q1-390ENSongklanakarin Journal of Science and Technology (SJST), Vol 43, Iss 4, Pp 1103-1114 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	soft set neutrosophic soft set ivn-soft payoff function ivn-soft dominated strategy Technology T Technology (General) T1-995 Science Q Science (General) Q1-390
spellingShingle	soft set neutrosophic soft set ivn-soft payoff function ivn-soft dominated strategy Technology T Technology (General) T1-995 Science Q Science (General) Q1-390 Somen Debnath Application of interval-valued neutrosophic soft sets in decision making based on game theory
description	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.
format	article
author	Somen Debnath
author_facet	Somen Debnath
author_sort	Somen Debnath
title	Application of interval-valued neutrosophic soft sets in decision making based on game theory
title_short	Application of interval-valued neutrosophic soft sets in decision making based on game theory
title_full	Application of interval-valued neutrosophic soft sets in decision making based on game theory
title_fullStr	Application of interval-valued neutrosophic soft sets in decision making based on game theory
title_full_unstemmed	Application of interval-valued neutrosophic soft sets in decision making based on game theory
title_sort	application of interval-valued neutrosophic soft sets in decision making based on game theory
publisher	Prince of Songkla University
publishDate	2021
url	https://doaj.org/article/46de34738db347bd9f2b13945c9831de
work_keys_str_mv	AT somendebnath applicationofintervalvaluedneutrosophicsoftsetsindecisionmakingbasedongametheory
_version_	1718443276316442624

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

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