Results 201 to 210 of about 4,071 (252)

Fuzzy relational equations in general framework

International Journal of General Systems, 2013
The aim of this paper is to provide a survey of issues regarding the problem of solving generalized fuzzy relational equations that are defined within a recently introduced framework of sup-preserving aggregation structures. Generalized fuzzy relational equations subsume the previously studied types of fuzzy relational equations, that is those based on
Eduard Bartl, George J. Klir
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Unattainable solutions of a fuzzy relation equation

Fuzzy Sets and Systems, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hideyuki Imai, Ken Kikuchi, Masaaki Miyakoshi   +2 more
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Studying on solution of fuzzy relation equations

1999 Third International Conference on Knowledge-Based Intelligent Information Engineering Systems. Proceedings (Cat. No.99TH8410), 2003
E. Sanchez ("Resolution of composite fuzzy relation equations", Inform. and Control, vol. 30, pp. 38-48, 1976) provided a methodology for the solution of certain basic fuzzy relational equations. In this methodology, an algorithm named /spl alpha/-composite was reported to calculate the supremum of solution sets in the fuzzy relation equation A o R=B ...
Yiping Fan, Hayao Miyagi
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On some finite fuzzy relation equations

Information Sciences, 1990
Introduced is a new type of finite fuzzy relation equation which describes the situation when a ``pessimistic value'' for the degree of equality between a given fuzzy subset and an unknown fuzzy relation is known. The main aim is to develop a solid theory for the considered equation. A dual equation is also considered.
A. Di Nola, W. Pedrycz, SESSA, SALVATORE
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Data compression with fuzzy relational equations

Fuzzy Sets and Systems, 2002
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Kaoru Hirota, Witold Pedrycz
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α—Fuzzy Relation Equations and Decomposable Fuzzy Relations

1989
In 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, Salvatore Sessa, Witold Pedrycz, Elie Sanchez   +3 more
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On fuzzy relational equations and the covering problem

Information Sciences, 2011
In 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, 1986
The 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, 2011
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Pingke Li, Shu-Cherng Fang
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Fuzzy relation equations and causal reasoning

Fuzzy Sets and Systems, 1995
One 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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