Journal ArticleDOI
Fuzzy relational equations with generalized connectives and their applications
TLDR
The idea of fuzzy relational equation with generalized connectives is introduced and algorithms of resolution of this class equations are presented in details, showing some types of well-known fuzzy relational equations can be treated as special cases of a wise class of equations under discussion.About:
This article is published in Fuzzy Sets and Systems.The article was published on 1983-01-01. It has received 134 citations till now. The article focuses on the topics: Fuzzy set operations & Fuzzy number.read more
Citations
More filters
Journal ArticleDOI
An identification algorithm in fuzzy relational systems
TL;DR: An algorithm for constructing models on the basis of fuzzy and nonfuzzy data with the aid of fuzzy discretization and clustering techniques is proposed.
Book
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
TL;DR: Fuzzy Relation Equations with Equality and Difference Composition Operators and Handling Fuzziness in Knowledge-Based Systems.
Book
Artificial Intelligence and Soft Computing: Behavioral and Cognitive Modeling of the Human Brain
Journal ArticleDOI
Numerical and applicational aspects of fuzzy relational equations
TL;DR: Numerical methods leading to a resolution of fuzzy relational equations which create a formal description of ill-defined systems are discussed and an applicability of the numerical approach is shown in solving some problems in fuzzy systems such as identification and control.
Journal ArticleDOI
A new type of simplified fuzzy rule-based system
Plamen Angelov,Ronald R. Yager +1 more
TL;DR: A significantly simplified alternative to define the antecedent part of FRB systems by data Clouds and density distribution is proposed, which fully reflects the real data distribution and does not require any explicit aggregation operations and scalar membership functions to be imposed.
References
More filters
Book
Fuzzy Sets and Systems: Theory and Applications
Didier Dubois,Henri Prade +1 more
TL;DR: This book effectively constitutes a detailed annotated bibliography in quasitextbook style of the some thousand contributions deemed by Messrs. Dubois and Prade to belong to the area of fuzzy set theory and its applications or interactions in a wide spectrum of scientific disciplines.
Journal ArticleDOI
Fuzzy programming and linear programming with several objective functions
TL;DR: It is shown that solutions obtained by fuzzy linear programming are always efficient solutions and the consequences of using different ways of combining individual objective functions in order to determine an “optimal” compromise solution are shown.
Journal ArticleDOI
Resolution of composite fuzzy relation equations
TL;DR: This paper provides a methodology for solution of certain basic fuzzy relational equations, with fuzzy sets defined as mappings from sets into complete Brouwerian lattices, covering a large class of types of fuzzy sets.
Journal ArticleDOI
Latent connectives in human decision making
Hans-Jürgen Zimmermann,P. Zysno +1 more
TL;DR: The results of the experiments support the hypothesis that people often use compensatory procedures and suggest a new class of operators which varies with respect to a parameter of compensation.
Journal ArticleDOI
On a general class of fuzzy connectives
TL;DR: A general class of conectives, intersection and union, are presented for fuzzy sets, and the properties of this class are studied in comparison to the ordinary intersection andunion.