35 Years of Fuzzy Set Theory: Celebratory Volume Dedicated by Radko Mesiar, Magda Komorníková (auth.), Chris Cornelis,

By Radko Mesiar, Magda Komorníková (auth.), Chris Cornelis, Glad Deschrijver, Mike Nachtegael, Steven Schockaert, Yun Shi (eds.)

This ebook is a tribute to Etienne E. Kerre at the party of his retirement on October 1st, 2010, after being lively for 35 years within the box of fuzzy set conception. It gathers contributions from researchers which have been on the subject of him in a single method or one other in the course of his lengthy and fruitful occupation. along with a foreword by way of Lotfi A. Zadeh, it comprises thirteen chapters on either theoretical and utilized themes in fuzzy set conception, divided in 3 components: 1) logics and connectives, 2) information research, and three) media functions. the 1st half bargains with fuzzy logics and with operators on (extensions of) fuzzy units. half 2 offers with fuzzy tools in tough set idea, formal thought research, selection making and type. The final half discusses using fuzzy equipment for representing and manipulating media gadgets, similar to photos and textual content records. the range of the themes which are lined replicate the variety of Etienne's learn pursuits, and certainly, the range of present examine within the zone of fuzzy set theory.

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Extra info for 35 Years of Fuzzy Set Theory: Celebratory Volume Dedicated to the Retirement of Etienne E. Kerre

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No exact formalization of PNL, however, has been developed until recently, and so it should be taken mainly as a reasonable methodology. The concept of FLb is a glue between both paradigms that should consider the best of each. During the years, it has been slowly developed and so far, it consists of the following theories: (a) Formal theory of evaluative linguistic expressions, which is in detail explained in [42]. (b) Formal theory of fuzzy IF-THEN rules which is presented in [11, 45]. (c) Formal theory of perception-based logical deduction, which is presented in [9, 37, 38, 47], (d) Formal theory of intermediate and generalized quantifiers presented in [10, 21, 39, 43].

Note that from the linguistic point of view, they also include the, so called, gradable adjectives (cf. [23]). We argue that the meaning of evaluative expressions is a fundamental bearer of the vagueness phenomenon and namely, that its vagueness is a consequence of the indiscernibility between objects. All the details about formal theory of evaluative linguistic expressions can be found in [42]. , a possible world; see [14]). Mathematical representation of intension is a function defined on a set of contexts which assigns to each context a fuzzy set of elements.

Keywords: Soft computing, Fuzzy logic in broader sense, Fuzzy decision-making, Evaluative linguistic expressions, Fuzzy transform. 1 Introduction “There is nothing more practical than a good theory” — this sentence, which has probably been first proclaimed by the psychologist K. Lewin in [27], characterizes in a a very succinct form essentially important balance between basic and applied research. We are convinced that only such balance can lead to really new innovative solutions which can drive our society forward and bring also tangible economical benefit.

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