Interactive Decision Making for Multiobjective Bimatrix Games with Fuzzy Payoffs Based on Possibility Measure

DOI

10.2991/asum.k.210827.044How to use a DOI?

Keywords

bimatrix games with fuzzy pay-off, multiobjective programming, possibility measure, an interactive method, reference membership values

Abstract

In this paper, we propose an interactive decision making method for multiobjectve bimatrix games with fuzzy payoffs. Using possibility measure and reference membership values, an equilibrium solution concept is introduced. To circumvent computational difficulties to obtain such a solution, equilibrium conditions in the membership function space are replaced into equilibrium conditions in the expected payoff space. Under the assumption that a player can estimate the opponent player’s reference membership values, the interactive algorithm is proposed to obtain a satisfactory solution of the player from among an equilibrium solution set by updating the reference membership values. A numerical example illustrates interactive processes under a hypothetical player to show the efficiency of the proposed method.

Copyright

© 2021, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Hitoshi Yano
AU  - Ichiro Nishizaki
PY  - 2021
DA  - 2021/08/30
TI  - Interactive Decision Making for Multiobjective Bimatrix Games with Fuzzy Payoffs Based on Possibility Measure
BT  - Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
PB  - Atlantis Press
SP  - 330
EP  - 337
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.044
DO  - 10.2991/asum.k.210827.044
ID  - Yano2021
ER  -