Enric Trillas: A Passion for Fuzzy Sets: A Collection of by Luis Magdalena, Jose Luis Verdegay, Francesc Esteva

By Luis Magdalena, Jose Luis Verdegay, Francesc Esteva

(Preliminary) The booklet is a accomplished number of the latest and demanding study and purposes within the box of fuzzy good judgment. It covers fuzzy buildings, platforms, principles, operations in addition to very important functions, e.g in selection making, environmental prediction and prevention, and verbal exchange. it's devoted to Enric Trillas as an acknowledgement for his pioneering examine within the box. The e-book comprise a foreword through Lotfi A. Zadeh.

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However, in this context only few works on discrete implications have appeared [11, 12] and always dealing with implications derived from discrete t-norms and t-conorms. In the present work we want to attain similar studies to those realized in the case of the interval [0, 1], but now for residual implications derived from discrete uninorms. 2 Preliminaries We will suppose a knowledge of the basic theory of logical operators and aggregation functions. For all things concerning t-norms and t-conorms see [8], for implication functions [2, 16], for discrete t-norms and uninorms [4, 10, 19] and for discrete residual implications derived from t-norms [11].

8: 199–249 (1975); part II. Inf. Sci. 8: 301–357 (1975); part III. Inf. Sci. 9, 43–80 (1975) 14. : A theory of approximate reasoning. I. ) Machine Intelligence, vol. 9, pp. 149–194. Halstead Press, New York (1979) 15. : Liar’s paradox and truth-qualification principle, ERL Memorandum M79/34. University of California, Berkeley (1979) 16. : A fuzzy-set-theoretic approach to the compositionality of meaning: propositions, dispositions and canonical forms. J. Semant. 3, 253–272 (1983) 17. : Outline of a computational approach to meaning and knowledge representation based on the concept of a generalized assignment statement.

I. ) Machine Intelligence, vol. 9, pp. 149–194. Halstead Press, New York (1979) 15. : Liar’s paradox and truth-qualification principle, ERL Memorandum M79/34. University of California, Berkeley (1979) 16. : A fuzzy-set-theoretic approach to the compositionality of meaning: propositions, dispositions and canonical forms. J. Semant. 3, 253–272 (1983) 17. : Outline of a computational approach to meaning and knowledge representation based on the concept of a generalized assignment statement. , Wyner, A.

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