δ-Equalities of fuzzy sets

Kai Yuan Cai

doi:10.1016/0165-0114(94)00361-A

δ-Equalities of fuzzy sets

Kai Yuan Cai^*

^*Corresponding author for this work

City University

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

47 Scopus citations

Abstract

A δ-equality of two fuzzy sets means the two fuzzy sets are equal to each other to an extent of S. In this paper we present basic properties of 6-equality and various results on 6-equality with respect to algebraic operations, fuzzy relations, extension principle and triangular norms. We also present a number of reliability examples to show usability of δ-equality in reality.

Original language	English
Pages (from-to)	97-112
Number of pages	16
Journal	Fuzzy Sets and Systems
Volume	76
Issue number	1
DOIs	https://doi.org/10.1016/0165-0114(94)00361-A
State	Published - 24 Nov 1995
Externally published	Yes

Keywords

6-equality
Algebraic operation
Extension principle
Fuzzy relation
Fuzzy set
Reliability

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10.1016/0165-0114(94)00361-A

Cite this

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AB - A δ-equality of two fuzzy sets means the two fuzzy sets are equal to each other to an extent of S. In this paper we present basic properties of 6-equality and various results on 6-equality with respect to algebraic operations, fuzzy relations, extension principle and triangular norms. We also present a number of reliability examples to show usability of δ-equality in reality.

KW - 6-equality

KW - Algebraic operation

KW - Extension principle

KW - Fuzzy relation

KW - Fuzzy set

KW - Reliability

UR - https://www.scopus.com/pages/publications/0003143863

U2 - 10.1016/0165-0114(94)00361-A

DO - 10.1016/0165-0114(94)00361-A

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VL - 76

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JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 1

ER -

δ-Equalities of fuzzy sets

Abstract

Keywords

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