Results 191 to 200 of about 4,071 (252)
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Fuzzy function as an approximate solution to a system of fuzzy relation equations
Fuzzy Sets and Systems, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Irina Perfilieva
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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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A fuzzy relational equation in dynamic fuzzy systems
Fuzzy Sets and Systems, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Masami Kurano +3 more
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PROCESSING OF FUZZY NUMBERS BY FUZZY RELATION EQUATIONS
Kybernetes, 1986In this paper we deal with fuzzy numbers that modelize uncertain quantities present in many fields of applications, such as man‐machine systems. Main attention is paid to inverse operations for fuzzy numbers which allow one to solve equations or systems of equations with fuzzy numbers.
A. Di Nola, W. Pedrycz, SESSA, SALVATORE
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Modularization of fuzzy relational equations
Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Witold Pedrycz, Athanasios V. Vasilakos
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A new kind of fuzzy relation equations
2009 IEEE International Conference on Fuzzy Systems, 2009In this paper, a new kind of fuzzy relational equations (FREs for short) A ∘R*x = b is first introduced, and then the problem of solving solution to the FREs is discussed, where A is an m × n matrix, x and b are an n and an m dimensional column vectors, respectively.
Feng Qin, Ping Fang
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Fuzzy Relation Equations with Fuzzy Quantifiers
2017In this paper, we follow the previous works on fuzzy relation compositions based on fuzzy quantifiers and we introduce systems of fuzzy relation equations stemming from compositions based on fuzzy quantifiers. We address the question, whether such systems under some specific conditions may become solvable, and we provide a positive answer. Based on the
Nhung Cao, Martin Stepnicka
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Equations in classes of fuzzy relations
Fuzzy Sets and Systems, 1995The author gives necessary and sufficient conditions for the existence of particular solutions of a fuzzy relation equation defined on finite sets. Precisely he characterizes the solutions which are reflexive, irreflexive, symmetric, antisymmetric, complete, transitive and idempotent, respectively.
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