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Generalized well-posedness for parametric fuzzy generalized multiobjective games

Journal of Computational and Applied Mathematics(2023)

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Abstract
The purpose of this article is to study well-posedness for parametric fuzzy generalized multiobjective games. First, we introduce the concepts of the well-posedness and wellposedness in the generalized sense for parametric fuzzy generalized multiobjective games. Then, under suitable conditions, we establish some sufficient conditions for the well-posedness and the well-posedness in the generalized sense for such problem. Further, results on metric characterization of the well-posedness and the well-posedness in the generalized sense for parametric fuzzy generalized multiobjective games in terms of the behavior of the approximate solution sets are also obtained. Finally, we state results on the well-posedness in the generalized sense for the parametric fuzzy generalized multiobjective games by using the Kuratowski measure of noncompactness. Examples are given to illustrate our results. The results presented in the paper are new. (c) 2022 Elsevier B.V. All rights reserved.
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Key words
Game theory,Generalized multiobjective games,Well-posedness,Fuzzy set theory
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