Results 181 to 190 of about 797 (226)

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 the unique solvability of fuzzy relational equations

Fuzzy Optimization and Decision Making, 2011
zbMATH 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, 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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Fuzzy relation equations and subsystems of fuzzy transition systems

Knowledge-Based Systems, 2013
In 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, Miroslav Ciric 0001, Vesna Simovic   +2 more
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Properties of max-\(*\) fuzzy relation equations

Soft Comput., 2010
The 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, 1992
zbMATH 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, 2010
In 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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Fuzzy Relational Equations and Universal Approximation

2016
This chapter presents the concepts of fuzzy relationships and fuzzy relational equations. These are applied to medical diagnosis and Bayesian inference. The notion of universal approximator with applications to dynamical systems, complete the chapter.
Laécio Carvalho de Barros, Rodney Carlos Bassanezi, Weldon A. Lodwick   +2 more
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Fuzzy relational equations in monoidal logics

2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542), 2005
We present a general framework for solving fuzzy relational equations in monoidal logics. This framework yields the general solution equations for relational systems based on large family of many-valued logics. The proofs use as a tool certain relational inequalities that we call BK-residuated bootstrap.
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Fuzzy Relation Equations in Semilinear Spaces

2010
We introduce a notion of an idempotent semilinear space and consider two systems of linear-like equations. These systems are equivalent to systems of fuzzy relation equations with sup-*and \(\inf\)-→ compositions. We show that the theory of Galois connections can be successfully used in characterizing whether these systems are solvable and, if so ...
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