Fuzzy relation equations with equality and difference composition operators

Antonio Di Nola; Witold Pedrycz; Salvatore Sessa

doi:10.1016/0165-0114(88)90188-1

Fuzzy relation equations with equality and difference composition operators

Antonio Di Nola
, Witold Pedrycz
, Salvatore Sessa

Department of Measurements and Control Systems (RAU/RAU2)

University of Naples Federico II

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

Abstract

Introducing a notion of equality and difference between the membership functions of a fuzzy set and a fuzzy relation, we define two new types of finite fuzzy relation equations. A way leading to the resolution of these equations is proposed and lower and upper solutions are also characterized.

Original language	English
Pages (from-to)	205-215
Number of pages	11
Journal	Fuzzy Sets and Systems
Volume	25
Issue number	2
DOIs	https://doi.org/10.1016/0165-0114(88)90188-1
Publication status	Published - Feb 1988

Keywords

Equality and difference composition operator
Finite fuzzy relation equation
Lower and upper solution

ASJC Scopus subject areas

Logic
Artificial Intelligence

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10.1016/0165-0114(88)90188-1

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title = "Fuzzy relation equations with equality and difference composition operators",

abstract = "Introducing a notion of equality and difference between the membership functions of a fuzzy set and a fuzzy relation, we define two new types of finite fuzzy relation equations. A way leading to the resolution of these equations is proposed and lower and upper solutions are also characterized.",

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AU - Pedrycz, Witold

AU - Sessa, Salvatore

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AB - Introducing a notion of equality and difference between the membership functions of a fuzzy set and a fuzzy relation, we define two new types of finite fuzzy relation equations. A way leading to the resolution of these equations is proposed and lower and upper solutions are also characterized.

KW - Equality and difference composition operator

KW - Finite fuzzy relation equation

KW - Lower and upper solution

UR - https://www.scopus.com/pages/publications/37249034430

U2 - 10.1016/0165-0114(88)90188-1

DO - 10.1016/0165-0114(88)90188-1

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IS - 2

ER -

Fuzzy relation equations with equality and difference composition operators

Abstract

Keywords

ASJC Scopus subject areas

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