Proceedings of the Fuzzy System Symposium
28th Fuzzy System Symposium
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Relative Feature Analysis among Alternative : Representations by Set Functions
Eiichioro Takahagi
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CONFERENCE PROCEEDINGS OPEN ACCESS

Pages 964-969

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Abstract
Using the relative relations among alternatives, the set function that shows the feature of an alternative is proposed. In the weighted sum model, such as the AHP models, the set function values are the average values of set function representation of the weights when the alternative has the top comprehensive value. In the Choquet integral models, the set function is consist of set function expression of singleton fuzzy measure and Mobius function of the fuzzy measure. To read the functions, we can understand the future of an alternative such as, "When both weights 1 and 2 put relatively importance, the alternative is selected".
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© 2012 Japan Society for Fuzzy Theory and Intelligent Informatics
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