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Reseaech On The Solutions Of Intuitionisic Fuzzy Cooperative Games

Posted on:2017-04-09Degree:MasterType:Thesis
Country:ChinaCandidate:X T HuFull Text:PDF
GTID:2180330503982572Subject:Operational Research and Cybernetics
Abstract/Summary:PDF Full Text Request
When the game theory was produced, because of the uncertainty of a variety of internal and external environment and diversity of the goal, and diversity of the decision-maker ect, all of them required the researcher of the game theory constantly update the solution methods of concrete issues, also it promoted the application of intuition fuzzy set theory in the game theory. Therefore intuition countermeasures gradually developed into an important branch of game theory, the researcher introduced the intuitionistic fuzzy concept to the strategy sets, payoff matrix, alliance, countermeasure of solution, n multi target. After the results of the study also further solve many practical problems. However, there was less research of solution in intuitionistic fuzzy cooperative game.In this paper, the intuition fuzzy theory as the basis, by discussing the n-person multi objective intuitionistic fuzzy cooperative game and set, and discussed on the actual problems. The main contributions of dissertation are as follows.Firstly, show the way of multi objective intuitionistic fuzzy cooperative game to solute the nucleolus of weight.Secondly, research the nucleolus of a cooperative game with payoffs of intuitionistic fuzzy sets, combine with section intuitionistic fuzzy sets, provide the λ-allocate vector quantity and puts forward to the λ-nucleolus of a cooperative game with payoffs of intuitionistic fuzzy sets, then model the issue to explain the feasibility of this method.Thirdly, research the Shapley value of a cooperative game with payoffs of intuitionistic fuzzy sets, based on the three axioms of classic Shapley value, prove the three axioms of new Shapley value.As a conclusion, with the method to explain an application and explain the feasibility of this method.
Keywords/Search Tags:intuitionistic fuzzy, cooperative game, λ-nucleolus, shapley value, solution
PDF Full Text Request
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