Journal ArticleDOI
Fuzzy relational equations and the inverse problem
Costas P. Pappis,M. Sugeno +1 more
TLDR
In this article, the inverse problem concerned with fuzzy relations is investigated and conditions for the existence of a solution are shown and an analytical solution is given, and a method for the improvement of the solution is proposed.About:
This article is published in Fuzzy Sets and Systems.The article was published on 1985-02-01. It has received 122 citations till now. The article focuses on the topics: Fuzzy set operations & Fuzzy number.read more
Citations
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Journal ArticleDOI
A comparative assessment of measures of similarity of fuzzy values
TL;DR: The properties of several measures of similarity of fuzzy values are presented and compared and it is shown that several properties are common to all measures but some properties do not hold for all of them.
Journal ArticleDOI
A comparison of similarity measures of fuzzy values
TL;DR: It is shown that several properties are common to all measures and some properties do not hold for all of them.
Journal ArticleDOI
Application of a fuzzy discrimination analysis for diagnosis of valvular heart disease
TL;DR: The discrimination analysis proposed by Norris, Pilsmorth, and Baldwin is applied to the diagnosis of valvular heart diseases and the concept of prototypicalness of patients with a particular disease is introduced to improve the performance of the diagnosis.
Book ChapterDOI
Analytical solution methods for fuzzy relational equations.
TL;DR: In this chapter, fuzzy relational equations are approached from an order-theoretical point of view and it is shown how all inverse problems can be reduced to systems of polynomial lattice equations.
Journal ArticleDOI
Solution of fuzzy equations with extended operations
TL;DR: The methodology provided includes, as a special case, the resolution of fuzzy arithmetical operations, i.e. when ∗ stands for +, −, × or ÷, extended to fuzzy numbers (fuzzy subsets of the real line).
References
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Journal ArticleDOI
Outline of a New Approach to the Analysis of Complex Systems and Decision Processes
TL;DR: By relying on the use of linguistic variables and fuzzy algorithms, the approach provides an approximate and yet effective means of describing the behavior of systems which are too complex or too ill-defined to admit of precise mathematical analysis.
Journal ArticleDOI
An Experiment in Linguistic Synthesis with a Fuzzy Logic Controller
E.H. Mamdani,S. Assilian +1 more
TL;DR: Fuzzy logic is used to convert heuristic control rules stated by a human operator into an automatic control strategy, and the control strategy set up linguistically proved to be far better than expected in its own right.
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 Article
Fuzzy logic controller for a traffic junction
C P Pappis,E H Mamdani +1 more
TL;DR: A linguistic control algorithm is synthesized, capable of dealing with a continuously reproduced decisionmaking situation, and a fuzzy set theoretic representation of these instructions, called a fuzzy logic controller, was tried as an answer to the control modeling problem, which gave very satisfactory results.