The α-embedded and A's fussy decomposition theorems

Yo Ping Huang; Kaiquan Shi

doi:10.1016/S0165-0114(98)00007-4

The α-embedded and A's fussy decomposition theorems

Yo Ping Huang
, Kaiquan Shi

Department of Electrical Engineering

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

3 Scopus citations

Abstract

Fuzzy set theory becomes more popular in recent years due to its simplicity in modeling and effectiveness in control problems. Unfortunately, both fuzzy union-decomposition and fuzzy intersection-decomposition problems for fuzzy set A did not attract too much attention by the fuzzy researchers and thus not many people studied on these topics during the past 30 years. This paper gives the concepts of α-embedded set A^α for fuzzy set A. On this basis, we propose the fuzzy union-decomposition theorems for fuzzy set A, the fuzzy intersection-decomposition theorems for fuzzy set A, the relational theorems of fuzzy union-decomposition and fuzzy intersection-decomposition for fuzzy set A.

Original language	English
Pages (from-to)	299-306
Number of pages	8
Journal	Fuzzy Sets and Systems
Volume	110
Issue number	2
DOIs	https://doi.org/10.1016/S0165-0114(98)00007-4
State	Published - 1 Mar 2000

Keywords

Fuzzy intersection-decomposition theorem
Fuzzy union-decomposition theorem
Relational theorem
α-embedded set a

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10.1016/S0165-0114(98)00007-4

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AB - Fuzzy set theory becomes more popular in recent years due to its simplicity in modeling and effectiveness in control problems. Unfortunately, both fuzzy union-decomposition and fuzzy intersection-decomposition problems for fuzzy set A did not attract too much attention by the fuzzy researchers and thus not many people studied on these topics during the past 30 years. This paper gives the concepts of α-embedded set Aα for fuzzy set A. On this basis, we propose the fuzzy union-decomposition theorems for fuzzy set A, the fuzzy intersection-decomposition theorems for fuzzy set A, the relational theorems of fuzzy union-decomposition and fuzzy intersection-decomposition for fuzzy set A.

KW - Fuzzy intersection-decomposition theorem

KW - Fuzzy union-decomposition theorem

KW - Relational theorem

KW - α-embedded set a

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The α-embedded and A's fussy decomposition theorems

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Keywords

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