Some theoretical aspects of fuzzy-relation equations describing fuzzy systems

Antonio Di Nola; Witold Pedrycz; Salvatore Sessa

doi:10.1016/0020-0255(84)90051-3

Some theoretical aspects of fuzzy-relation equations describing fuzzy systems

Antonio Di Nola
, Witold Pedrycz
, Salvatore Sessa

Katedra Pomiarów i Systemów Sterowania (RAU/RAU2)

University of Naples Federico II

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

16 Cytowania z bazy Scopus

Abstrakt

This paper contains some theoretical results on fuzzy-relation equations and applications to analysis of fuzzy systems as well as identification and control problems. If A_i, 1 ≤ i ≤ k, are fuzzy inputs, B is a fuzzy output, and R is a fuzzy relation describing the system, the above problems are illustrated by means of a max-min multidimensional equation of type B = A₁ {A figure is presented} ... {A figure is presented} A_k {A figure is presented} R. Furthermore, we investigate some properties of fuzzy systems described by fuzzy-relation equations, focusing our attention on energy and entropy measures of fuzziness of solutions of the class of equations under discussion.

Język oryginału	angielski
Strony (od–do)	241-264
Liczba stron	24
Czasopismo	Information Sciences
Tom	34
Numer wydania	3
Identyfikatory DOI	https://doi.org/10.1016/0020-0255(84)90051-3
Status publikacji	Opublikowano - gru 1984

Obszary tematyczne ASJC Scopus

Inżynieria sterowania i systemów
Oprogramowanie
Informatyka teoretyczna
Zastosowania informatyki
Systemy informacyjne i zarządzanie
Sztuczna inteligencja

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10.1016/0020-0255(84)90051-3

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Cytowanie

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title = "Some theoretical aspects of fuzzy-relation equations describing fuzzy systems",

abstract = "This paper contains some theoretical results on fuzzy-relation equations and applications to analysis of fuzzy systems as well as identification and control problems. If Ai, 1 ≤ i ≤ k, are fuzzy inputs, B is a fuzzy output, and R is a fuzzy relation describing the system, the above problems are illustrated by means of a max-min multidimensional equation of type B = A1 \{A figure is presented\} ... \{A figure is presented\} Ak \{A figure is presented\} R. Furthermore, we investigate some properties of fuzzy systems described by fuzzy-relation equations, focusing our attention on energy and entropy measures of fuzziness of solutions of the class of equations under discussion.",

author = "\{Di Nola\}, Antonio and Witold Pedrycz and Salvatore Sessa",

year = "1984",

month = dec,

doi = "10.1016/0020-0255(84)90051-3",

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T1 - Some theoretical aspects of fuzzy-relation equations describing fuzzy systems

AU - Di Nola, Antonio

AU - Pedrycz, Witold

AU - Sessa, Salvatore

PY - 1984/12

Y1 - 1984/12

N2 - This paper contains some theoretical results on fuzzy-relation equations and applications to analysis of fuzzy systems as well as identification and control problems. If Ai, 1 ≤ i ≤ k, are fuzzy inputs, B is a fuzzy output, and R is a fuzzy relation describing the system, the above problems are illustrated by means of a max-min multidimensional equation of type B = A1 {A figure is presented} ... {A figure is presented} Ak {A figure is presented} R. Furthermore, we investigate some properties of fuzzy systems described by fuzzy-relation equations, focusing our attention on energy and entropy measures of fuzziness of solutions of the class of equations under discussion.

AB - This paper contains some theoretical results on fuzzy-relation equations and applications to analysis of fuzzy systems as well as identification and control problems. If Ai, 1 ≤ i ≤ k, are fuzzy inputs, B is a fuzzy output, and R is a fuzzy relation describing the system, the above problems are illustrated by means of a max-min multidimensional equation of type B = A1 {A figure is presented} ... {A figure is presented} Ak {A figure is presented} R. Furthermore, we investigate some properties of fuzzy systems described by fuzzy-relation equations, focusing our attention on energy and entropy measures of fuzziness of solutions of the class of equations under discussion.

UR - https://www.scopus.com/pages/publications/0021594252

U2 - 10.1016/0020-0255(84)90051-3

DO - 10.1016/0020-0255(84)90051-3

M3 - Article

AN - SCOPUS:0021594252

SN - 0020-0255

VL - 34

SP - 241

EP - 264

JO - Information Sciences

JF - Information Sciences

IS - 3

ER -

Some theoretical aspects of fuzzy-relation equations describing fuzzy systems

Abstrakt

Obszary tematyczne ASJC Scopus

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