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Fuzzy Sets and Systems, 2007
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On fuzzy relations, adjunctions, and functional fuzzy relations
2016 IEEE Symposium Series on Computational Intelligence (SSCI), 2016The problem of studying when a given a fuzzy relation can be characterized in terms of a fuzzy function is revisited. Although several authors have published works on the ‘functionality’ of a fuzzy relation, we focus on a particular version which, to the best of our knowledge, fits better for the definition of adjunction between generalized fuzzy ...
Inma P. Cabrera +2 more
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Fuzzy relations and fuzzy groups
Information Sciences, 1985The main result: Given a group \(G\) and a fuzzy set \(A\) on \(G\), \(A\) is a fuzzy group on \(G\) iff \(A\times A\) is a fuzzy group on \(G\times G\). A more general product of fuzzy groups was considered by \textit{H. Sherwood} [Fuzzy Sets Syst. 11, 79--89 (1983; Zbl 0529.20021)].
Bhattacharya, Prabir, Mukherjee, N. P.
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FUZZY CLUSTERING BASED ON INTUITIONISTIC FUZZY RELATIONS
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004It is well known that an intuitionistic fuzzy relation is a generalization of a fuzzy relation. In fact there are situations where intuitionistic fuzzy relations are more appropriate. This paper discusses the fuzzy clustering based on intuitionistic fuzzy relations. On the basis of max -t & min -s compositions, we discuss an n-step procedure which
Hung, Wen-Liang +2 more
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FUZZY RELATION CALCULUS IN THE COMPRESSION AND DECOMPRESSION OF FUZZY RELATIONS
International Journal of Image and Graphics, 2002We firstly review some fundamentals of fuzzy relation calculus and, by recalling some known results, we improve the mathematical contents of our previous papers by using the properties of a triangular norm over [0,1]. We make wide use of the theory of fuzzy relation equations for getting lossy compression and decompression of images interpreted as two-
W. PEDRYCZ, V. LOIA, SESSA, SALVATORE
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α—Fuzzy Relation Equations and Decomposable Fuzzy Relations
1989In this Ch., we investigate a new type of fuzzy relation equation defined on finite sets and with membership functions on a complete Brouwerian lattice. We characterize the entire set of the solutions when the fuzzy equation is assigned on a linear lattice. We also study when a fuzzy relation is pointwise decomposable in the intersection (resp.
Antonio di Nola +3 more
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Fuzzy relations and fuzzy functions
Fuzzy Sets and Systems, 1986The author introduces, on a complete Brouwerian lattice L, interesting definitions of L-valued fuzzy equivalence relation, L-valued fuzzy function, L-fuzzy partition, and he goes deeply into their links. Noteworthy consequence of this new definition is that L-fuzzy-functions, so defined, assume values in a Boolean subalgebra of the lattice L. Later the
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Aggregation of I-transitive fuzzy relations and fuzzy preference relations
Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Dechao, Yao, Yutao
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