Results 211 to 220 of about 6,121 (261)
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Data compression with fuzzy relational equations
Fuzzy Sets and Systems, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kaoru Hirota, Witold Pedrycz
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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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On fuzzy relational equations and the covering problem
Information Sciences, 2011In this study, the authors consider finite fuzzy relational equations of the form \(X\circ A= B\), where \(A\) and \(B\) are a fuzzy relation and a fuzzy set, respectively, while \(X\) is the fuzzy set to be determined. The symbol \(\circ\) stands for the max-continuous \(u\)-norm composition operator with ``\(u\)'' being a bivariate function \([0,1]^2\
Jun-Lin Lin, Yan-Kuen Wu, Sy-Ming Guu
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Fuzzy reasoning and fuzzy relational equations
Fuzzy Sets and Systems, 1986The paper covers an interesting approach to two basic schemes of reasoning with fuzzy premises namely modus ponens and modus tollens, \[ \begin{alignedat}{2} &A && B \\ &\underline{A_ i \to B_ i,\quad i=1,2,\ldots,N} &\quad& \underline{A_ i \to B_ i,\quad i=1,2,\ldots,N} \\ &B && A \end{alignedat} \] where \(A\), \(A_ i\), \(B\), \(B_ i\) denote fuzzy ...
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On the unique solvability of fuzzy relational equations
Fuzzy Optimization and Decision Making, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pingke Li, Shu-Cherng Fang
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Fuzzy relation equations and causal reasoning
Fuzzy Sets and Systems, 1995One of the ways to treat diagnosis problems is to relate them to particular relations between the ``manifestations'' and the ``diagnoses''. For the case of incomplete or uncertain informations different approaches have been proposed which relate to fuzzy relations and fuzzy relations equations.
Dubois, Didier, Prade, Henri
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Fuzzy relation equations and subsystems of fuzzy transition systems
Knowledge-Based Systems, 2013In this paper we study subsystems, reverse subsystems and double subsystems of a fuzzy transition system. We characterize them in terms of fuzzy relation inequalities and equations, as eigen fuzzy sets of the fuzzy quasi-order Q"@d and the fuzzy equivalence E"@d generated by fuzzy transition relations, and as linear combinations of aftersets and ...
Jelena Ignjatovic +2 more
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Properties of max-\(*\) fuzzy relation equations
Soft Comput., 2010The authors establish several results about fuzzy relation equations with a max-\(*\) composition, \(``*"\) being an operator which extends min and prod in similar equations studied by \textit{C. Zhang, C. Lu} and \textit{D. Li} [J. Fuzzy Math. 14, No.~1, 53--63 (2006; Zbl 1105.03055)].
Józef Drewniak, Zofia Matusiewicz
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Equations of fuzzy relations defined on fuzzy subsets
Fuzzy Sets and Systems, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fernández, M. J., Suárez, F., Gil, P.
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Intuitionistic fuzzy relation equations
2010 International Conference on Educational and Information Technology, 2010In this paper, we extend the fuzzy relation equations to intuitionistic fuzzy relation equations. The definition of intuitionistic fuzzy relation equations is proposed on the basis of theory of fuzzy relation equation. Intuitionistic fuzzy relation equation is an L-fuzzy relation equation. The method with special significance is obtained as the lattice
null Zhou Wei, null Bao Menghong
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