Intuitionistic fuzzy soft game theory

In this article, we define two person intuitionistic fuzzy soft games, which can be applied to problems containing vagueness and uncertainty. We then give one solution method of the game which is intuitionistic fuzzy soft saddle point. Finally we give an application which shows that the method can...

Full description

Bibliographic Details
Main Authors: Anjan Mukherjee, Somen Debnath
Format: Article
Language:English
Published: Prince of Songkla University 2018-04-01
Series:Songklanakarin Journal of Science and Technology (SJST)
Subjects:
Online Access:http://rdo.psu.ac.th/sjstweb/journal/40-2/40-2-22.pdf
_version_ 1818484253393944576
author Anjan Mukherjee
Somen Debnath
author_facet Anjan Mukherjee
Somen Debnath
author_sort Anjan Mukherjee
collection DOAJ
description In this article, we define two person intuitionistic fuzzy soft games, which can be applied to problems containing vagueness and uncertainty. We then give one solution method of the game which is intuitionistic fuzzy soft saddle point. Finally we give an application which shows that the method can be successfully applied to a real life problem and extend the two person intuitionistic fuzzy soft game (tp ifs-games) to n-person ifs-games. We also introduce intuitionistic fuzzy soft upper and intuitionistic lower values of a two person intuitionistic fuzzy soft game.
first_indexed 2024-12-10T15:52:41Z
format Article
id doaj.art-bb1588bb2ba7447eb77590d58e2fae12
institution Directory Open Access Journal
issn 0125-3395
language English
last_indexed 2024-12-10T15:52:41Z
publishDate 2018-04-01
publisher Prince of Songkla University
record_format Article
series Songklanakarin Journal of Science and Technology (SJST)
spelling doaj.art-bb1588bb2ba7447eb77590d58e2fae122022-12-22T01:42:45ZengPrince of Songkla UniversitySongklanakarin Journal of Science and Technology (SJST)0125-33952018-04-0140240941710.14456/sjst-psu.2018.50Intuitionistic fuzzy soft game theoryAnjan Mukherjee0Somen Debnath1Department of Mathematics, Tripura University, Suryamaninagar, Agartala-799022, Tripura, IndiaDepartment of Mathematics, Tripura University, Suryamaninagar, Agartala-799022, Tripura, IndiaIn this article, we define two person intuitionistic fuzzy soft games, which can be applied to problems containing vagueness and uncertainty. We then give one solution method of the game which is intuitionistic fuzzy soft saddle point. Finally we give an application which shows that the method can be successfully applied to a real life problem and extend the two person intuitionistic fuzzy soft game (tp ifs-games) to n-person ifs-games. We also introduce intuitionistic fuzzy soft upper and intuitionistic lower values of a two person intuitionistic fuzzy soft game.http://rdo.psu.ac.th/sjstweb/journal/40-2/40-2-22.pdfsoft setfuzzy soft setintuitionistic fuzzy soft setintuitionistic fuzzy soft payoff
spellingShingle Anjan Mukherjee
Somen Debnath
Intuitionistic fuzzy soft game theory
Songklanakarin Journal of Science and Technology (SJST)
soft set
fuzzy soft set
intuitionistic fuzzy soft set
intuitionistic fuzzy soft payoff
title Intuitionistic fuzzy soft game theory
title_full Intuitionistic fuzzy soft game theory
title_fullStr Intuitionistic fuzzy soft game theory
title_full_unstemmed Intuitionistic fuzzy soft game theory
title_short Intuitionistic fuzzy soft game theory
title_sort intuitionistic fuzzy soft game theory
topic soft set
fuzzy soft set
intuitionistic fuzzy soft set
intuitionistic fuzzy soft payoff
url http://rdo.psu.ac.th/sjstweb/journal/40-2/40-2-22.pdf
work_keys_str_mv AT anjanmukherjee intuitionisticfuzzysoftgametheory
AT somendebnath intuitionisticfuzzysoftgametheory