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Fuzzy betweenness relations and their connection with fuzzy order relations
Fuzzy Sets and Systems, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hua-Peng Zhang +2 more
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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)].
Prabir Bhattacharya, N. P. Mukherjee
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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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Fuzzy approximations of fuzzy relational structures
International Journal of Approximate Reasoning, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yibin Du, Ping Zhu 0001
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A note on fuzzy relations and fuzzy groups
Information Sciences, 1991The paper characterizes groups G such that for any fuzzy subgroup R of \(G\times G\) the formula \(A_ R(x)=\sup_{y\in G}\min (R(x,y),R(y,x))\) gives a fuzzy subgroup of G. This corrects a result of \textit{P. Bhattacharya} and \textit{N. P. Mukherjee} [Inf. Sci. 36, 267-282 (1985; Zbl 0599.20003), Theorem 4.7].
D. S. Malik, John N. Mordeson
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Fuzzy functional dependencies in fuzzy relations
1986 IEEE Second International Conference on Data Engineering, 1986The paper deals with fuzzy functional dependencies and associated inference rules. A set of sound and complete inference rules are proposed. The problem of lossless join decomposition of fuzzy relations for a given set of fuzzy functional dependencies are examined.
K. V. S. V. N. Raju, Arun K. Majumdar
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Fuzzy modifiers based on fuzzy relations
Information Sciences, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martine De Cock, Etienne E. Kerre
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Uniform fuzzy relations and fuzzy functions
Fuzzy Sets and Systems, 2009In this paper, one of the approaches to the concept of a fuzzy function is presented. Diverse types of fuzzy functions are based on fuzzy equivalence relations. For example, such an approach was used in definitions of partial fuzzy functions and fuzzy functions presented by Klawonn, and of strong fuzzy functions and perfect fuzzy functions presented by
Miroslav Ciric 0001 +2 more
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