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Application of interval-valued neutrosophic soft sets in decision makingbased on game theory |
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| รหัสดีโอไอ | |
| Creator | Somen Debnath |
| Title | Application of interval-valued neutrosophic soft sets in decision makingbased on game theory |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2564 |
| Journal Title | Songklanakarin Journal of Science and Technology (SJST) |
| Journal Vol. | 43 |
| Journal No. | 4 |
| Page no. | 1103-1114 |
| Keyword | soft set, neutrosophic soft set, ivn-soft payoff function, ivn-soft dominated strategy |
| URL Website | https://rdo.psu.ac.th/sjstweb/index.php |
| ISSN | 0125-3395 |
| Abstract | The main objective of this paper is to present the notion of interval-valued neutrosophic soft sets in game theorystrategy. Interval-valued neutrosophic soft sets (in short ivn-soft sets) is a generalization of interval-valued intuitionistic fuzzysoft 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 solutionmethod of the games which is based on ivn-soft saddle points, ivn-soft lower values, ivn-soft upper values, ivn-soft dominatedstrategy and ivn-soft Nash equilibrium. We also extend the two-person ivn-soft game to n-person ivn-soft game. Finally wedevelop a decision-making method. |
