Solving Matrix Games Involving the Level (g(lower), g (upper)) Interval Valued Pentagonal Fuzzy Payoffs: Signed Distance Ranking Approach


Nasir V. K., Barakath A. J.

4th International Conference on Intelligent and Fuzzy Systems (INFUS), Bornova, Turkey, 19 - 21 July 2022, vol.504, pp.328-338 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 504
  • Doi Number: 10.1007/978-3-031-09173-5_41
  • City: Bornova
  • Country: Turkey
  • Page Numbers: pp.328-338
  • Keywords: g-Pentagonal Fuzzy numbers, (g(lower), g (upper)) - Interval valued Pentagonal Fuzzy numbers, Signed distance ranking
  • Istanbul Technical University Affiliated: No

Abstract

The main objective of this article is to deal with matrix games, involving fuzzy payoffs extended to the level (g(lower), g (upper)) - Interval valued Pentagonal Fuzzy Payoffs. For the parameters, we use the level (g(lower), g (upper)) - Interval valued Pentagonal Fuzzy numbers rather than the normal Fuzzy numbers. Signed distance ranking method have been proposed to rank Interval valued Triangular and Interval valued Trapezoidal Fuzzy numbers. In this article, very first time, we introduced the Signed distance ranking formula to rank the Interval valued Pentagonal Fuzzy numbers. Using the signed distance ranking method to transform the (g(lower), g (upper)) - Interval valued Pentagonal Fuzzy Payoffs into Crisp Payoffs matrix, then it is solved by the method of dominance to get the Optimum Strategies. This proposed method is also demonstrated with the help of practical examples and then validate the results.