The \(\alpha\)-embedded and \(A\)'s fuzzy decomposition theorems
type: Item
instance of: scholarly article
title: The \(\alpha\)-embedded and \(A\)'s fuzzy decomposition theorems
zbMATH Open document ID: 0941.03057
DOI: 10.1016/S0165-0114(98)00007-4
author: Yo-Ping Huang
author: Kaiquan Shi
published in: Fuzzy Sets and Systems
publication date: 2000-01-01T00:00:00Z
review text: The paper deals with decompositions of fuzzy sets based on the concept of \(\alpha\)-cuts. The attention is focused to several questions, namely if a fuzzy set can be decomposed into series of \(\alpha\)-cuts or into several sets derived from these \(\alpha\)-cuts and called their \(\alpha\)-embedded sets. The main results are formulated in several versions of fuzzy union-decomposition theorems and fuzzy intersection-decomposition theorems. The relation between these theorems is investigated as well.
reviewed by: Milan Mareš
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 1423478
zbMATH Keywords: \(\alpha\)-cuts
zbMATH Keywords: \(\alpha\)-embedded sets
zbMATH Keywords: decompositions of fuzzy sets
zbMATH Keywords: fuzzy union-decomposition
zbMATH Keywords: fuzzy intersection-decomposition
MaRDI profile type: Publication
cites work: Q3838055
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full work available at URL: s0165-0114(98)00007-4
OpenAlex ID: W2048933379
description: scientific article; zbMATH DE number 1423478