The α-core of Fuzzy Linear Production Games

DOI Web Site Web Site 2 Citations 8 References

Bibliographic Information

Other Title
  • ファジィ線形生産計画ゲームのα-コア
  • ファジィ センケイ セイサン ケイカク ゲーム ノ アルファーコア

Search this article

Abstract

<p>In this paper we consider a production model in which multiple decision makers pool resources to produce finished goods. Such a production model, which is assumed to be linear, can be formulated as a mathematical programming problem with fuzzy parameters from the viewpoint of experts' imprecise or fuzzy understanding of the nature of parameters in a problem-formulation process. It is shown that a cooperative game with values of coalitions represented by fuzzy numbers arises from the linear production programming problem with fuzzy parameters, and such a game is referred to as a fuzzy linear production programming game. The values of coalitions in the game can be obtained by employing a parametric approach to solving the linear production programming problem with fuzzy parameters. We employ the α-core, which is the extended core in fuzzy cooperative games, as a solution concept. It is proven that the α-core of the game is not empty, and a computational method is developed.</p>

Journal

Citations (2)*help

See more

References(8)*help

See more

Keywords

Details 詳細情報について

Report a problem

Back to top