Titlebook: On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory; Susanne Saminger-Platz,Radko Mesiar Book 2016 Springer International

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Book 2016eory. The different chapters have been written byformer PhD students, colleagues, co-authors and friends of Peter Klement, aleading researcher and the organizer of the Linz Seminars on Fuzzy Set Theory.The book also includes advanced findings on topics inspired by Klement’sresearch activities, conce

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Bases and Transforms of Set Functions,establish the basic duality between bases and invertible linear transform (e.g., the Möbius transform, the Fourier transform and interaction transforms). We apply it to solve the well-known inverse problem in cooperative game theory (find all games with same Shapley value), and to find various equivalent expressions of the Choquet integral.

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