Fuzzy relation equations and inequalities
Fuzzy Sets and Systems, 1984Let L be a complete lattice. The author introduces a generalization of the concept of Brouwerian lattice in the form of a lattice with an implication induced by a monotone binary operation assigned in L. The induced implications in the complete lattice L(X\(\times Y)\) of the fuzzy relations, with membership functions defined on two sets X and Y and ...
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Fuzzy relational inequalities and equations, fuzzy quasi-orders, closures and openings of fuzzy sets
Fuzzy Sets and Systems, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jelena Ignjatovic +3 more
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Theory of Fuzzy Generalized Morphisms and Relational Inequalities
International Journal of General Systems, 2004We present here the theory of generalized morphisms and fuzzy relational inequalities and discuss some of these applications. Results presented in this paper extend the work of Bandler and Kohout (1986) ["On the general theory of relational morphisms", International Journal of General Systems, 13, pp.
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GENERALIZED FUZZY RELATIONAL INEQUALITIES AND RELATED PROBLEMS
International Journal of General Systems, 2000Various authors investigated fuzzy relational equalities constructed on the basic of the classical max-min extension principle (Czogala, E.. Drewniak. J. and Pedrycz. W. (1982) Fuzzy Sets and Systems, 7,89-101; Sanchez, E. (1976) Information andComrol, 30, 38-48). In this contribution, generalized fuzzy relational inequalities constructed by making use
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Fuzzy Relational Inequations and Equations in the Framework of Control Problems
2011The paper deals with fuzzy relational inequations and equations connected with closed fuzzy sets under a fixed fuzzy relation over the same domain. Such formulas arise in the framework of control problems. We show that fuzzy sets being solutions of these inequations and corresponding equations form a descending sequence with particular lower bounds ...
Jorge Jiménez Meana +3 more
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On transitive solutions of fuzzy equations, inequalities and lower approximations of fuzzy relations
Fuzzy Sets and Systems, 1995Maximal transitive solutions of relational equations and inequalities in a complete linear lattice \(L\) with universal bounds \(0\) and \(1\) and with respect to the general triangular norms are investigated. Extension to interval-valued fuzzy sets is discussed.
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On optimizing a linear objective function subjected to fuzzy relation inequalities
Fuzzy Optimization and Decision Making, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zahra Mashayekhi, Esmaile Khorram
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Variable-Absent Fuzzy Relation Inequality With Max-Min Composition
IEEE Transactions on Fuzzy SystemsQian-Yu Shu +2 more
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An algorithm for solving optimization problems with fuzzy relational inequality constraints
Information Sciences, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fang-Fang Guo +3 more
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Extremal solutions to fuzzy relation equations and inequalities with three unknowns
Journal of Intelligent & Fuzzy Systems, 2020A large number of studies have investigated the systems of fuzzy relation equations and inequalities, which have a much wider field of application. In this paper, we study several types of systems of fuzzy relation equations and inequalities consisting of a given family of k -ary fuzzy ...
Sha Qiao, Ping Zhu 0001
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