Generalized fuzzy relational inequalities and related problems
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 and Control, 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 (Schweizer and Sklar, A. (1960) Pacific J. Math., TO, 313-334; Klement, 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.
fuzzy relational inequalities compensatory operators t-norms fuzzy relations with a finite support