GENERALIZED FUZZY RELATIONAL INEQUALITIES AND RELATED PROBLEMS |
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| Authors: | KAREL ZIMMERMANN |
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| Affiliation: | Faculty of Mathematics and Physics , Charles University Prague , Malostranské n?m. 25, Prague 1, 11800, Czech Republic |
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| Abstract: | Various authors investigated fuzzy relational equalities constructed on the basic of the classical max-min extension principle (Czogala, E.. Drewniak. J. and Pedrycz. W. (1982) Fuzzy Sets and Systems, 7,89-101; Sanchez, E. (1976) Information andComrol, 30, 38-48). In this contribution, generalized fuzzy relational inequalities constructed by making use of compensatory operators or t-norms are studied (for the introduction of these concepts (Schwcizer and Sklar, A. (I960) Pacific J. Math., 10,313-334; (Clement, E.P.. Mesiar. R. and Pap, A. (1994) Preprint). Fuzzy relations considered here have a finite support. Solvability of generalized fuzzy relational inequalities is investigated. |
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| Keywords: | Fuzzy relations with a finite support fuzzy relational inequalities t-norms compensatory operators |
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