Application of a similarity measure of fuzzy sets to fuzzy relational equations
Fuzzy Sets and SystemsPublished 1 October 1995
Costas P. Pappis, Nikos Karacapilidis
Citations38
SJR quartileQ1
SJR score0.75
SNIP1.25
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
The grade of similarity, LA.
Abstract
S.135-142
Keywords
Computer ScienceMathematicsDecision Sciences
Information and ControlResolution of composite fuzzy relation equations
1,039 Citations1976Élie Sanchez
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.
Fuzzy Sets and SystemsA comparative assessment of measures of similarity of fuzzy values
421 Citations1993Costas P. Pappis, Nikos Karacapilidis
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.
Fuzzy Sets and SystemsResolution of finite fuzzy relation equations
217 Citations1984Masahiko Higashi, George J. Klir
General schemes for solving fuzzy relation equations with finite sets are derived and the relationship between these results and those of previous publications regarding this subject is discussed.
Fuzzy Sets and SystemsFuzzy relation equations on a finite set
192 Citations1982E. Czogała, Józef Drewniak +1 more
The family of all the solutions of a fuzzy relation equation on a finite set is considered, characterized by the set ofall the lower solutions, which can be obtained by a combinatorial algorithm.
Fuzzy Sets and SystemsFuzzy relational equations and the inverse problem
134 Citations1985Costas P. Pappis, Michio Sugeno
The 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.
Fuzzy Sets and SystemsValue approximation of fuzzy systems variables
86 Citations1991Costas P. Pappis
It is shown that the property of approximation is preserved when the maxmin compositional rule of inference is applied to approximately equal values of fuzzy variables and fuzzy relations.
Fuzzy Sets and SystemsFurther contributions to the study of finite fuzzy relation equations
54 Citations1988Guo Si-zhong, Peizhuang Wang +2 more
An interesting property of the Schein rank of a fuzzy matrix stressed by K.H. Kim and F.W. Roush is formalized as definition of the basis of a set of fuzzy vectors with respect to another set of fuzzier vectors in the setting of finite fuzzy relation equations.
Fuzzy Sets and SystemsA computer algorithm for the solution of the inverse problem of fuzzy systems
35 Citations1991Costas P. Pappis, G.I. Adamopoulos
A computer algorithm based on a method for dealing with the so-called ‘inverse problem’ is presented and produces the solution semi-lattice formed by the fuzzy subsets A ⊂ U satisfying the fuzzy relational equation A⊂ R = B.
Fuzzy Sets and SystemsResolution of composite interval-valued fuzzy relation equations
29 Citations1991Hsiao‐Fan Wang, Yu-Chee Chang
This study investigates the properties and the solution procedure of composite interval-valued fuzzy relation equations with max-min operator and concludes that the proposed methodology not only solves the existing fuzzy relation equation but also reveals the necessary and sufficient conditions for more general problems.
Fuzzy Sets and SystemsFinite fuzzy relation equations with unique solution in complete brouwerian lattices
27 Citations1989Salvatore Sessa
Fuzzy Sets and SystemsA software routine to solve the generalized inverse problem of fuzzy systems
19 Citations1992Costas P. Pappis, G.I. Adamopoulos
A software routine to produce the solution of the generalized inverse problem of fuzzy relational equations is presented, which produces all fuzzy matrices A defined on the product space W × U which satisfy A ∘ R = B, where ∘ denotes maxmin composition.
European Journal of Operational ResearchMulti-input multi-output fuzzy systems and the Inverse Problem
9 Citations1987Costas P. Pappis
This solution to the inverse problem is applicable to one-input one-output fuzzy systems and it is shown that it is also applicable to multi-input multi- output fuzzy systems.
European Journal of Operational ResearchApplication of a measure of proximity to fuzzy control algorithms
4 Citations1992Costas P. Pappis
The procedure is based on the notion of approximation of fuzzy values and is intended to include in the decision to be taken considerations about the form and other features of the fuzzy set incurred when applying the inference rule to the fuzzy algorithm.
