Results 171 to 180 of about 797 (226)

A fuzzy relational equation in dynamic fuzzy systems

Fuzzy Sets and Systems, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Masami Kurano, Masami Yasuda, Jun-ichi Nakagami, Yuji Yoshida   +3 more
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PROCESSING OF FUZZY NUMBERS BY FUZZY RELATION EQUATIONS

Kybernetes, 1986
In 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, 2002
zbMATH 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, 2009
In 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

2017
In 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, 1995
The 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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Unattainable solutions of a fuzzy relation equation

Fuzzy Sets and Systems, 1998
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Hideyuki Imai, Ken Kikuchi, Masaaki Miyakoshi   +2 more
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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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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
openaire   +3 more sources