Embedding problem of noncompact fuzzy number space E∼ (I)

Congxin Wu; Bokan Zhang

doi:10.1016/S0165-0114(97)00218-2

Embedding problem of noncompact fuzzy number space E^∼ (I)

Congxin Wu^*
, Bokan Zhang

^*Corresponding author for this work

Harbin Institute of Technology

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

42 Citations (Scopus)

Abstract

In this paper, the embedding j in Wu Congxin and Ma Ming (1991) from fuzzy number space E 1 into a concrete Banach space C̄[0, 1] × C̄[0, 1] is extended to a more general case, i.e. j^∼ from noncompact fuzzy number space E^∼ into the Frechet space C^∼(0, 1] × C^∼(0, 1].

Original language	English
Pages (from-to)	165-169
Number of pages	5
Journal	Fuzzy Sets and Systems
Volume	105
Issue number	1
DOIs	https://doi.org/10.1016/S0165-0114(97)00218-2
Publication status	Published - 1 Jul 1999
Externally published	Yes

Keywords

Embedding
Fuzzy analysis
Fuzzy number
Noncompact fuzzy number space

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10.1016/S0165-0114(97)00218-2

Cite this

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title = "Embedding problem of noncompact fuzzy number space E∼ (I)",

abstract = "In this paper, the embedding j in Wu Congxin and Ma Ming (1991) from fuzzy number space E 1 into a concrete Banach space {\=C}[0, 1] × {\=C}[0, 1] is extended to a more general case, i.e. j∼ from noncompact fuzzy number space E∼ into the Frechet space C∼(0, 1] × C∼(0, 1].",

keywords = "Embedding, Fuzzy analysis, Fuzzy number, Noncompact fuzzy number space",

author = "Congxin Wu and Bokan Zhang",

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N2 - In this paper, the embedding j in Wu Congxin and Ma Ming (1991) from fuzzy number space E 1 into a concrete Banach space C̄[0, 1] × C̄[0, 1] is extended to a more general case, i.e. j∼ from noncompact fuzzy number space E∼ into the Frechet space C∼(0, 1] × C∼(0, 1].

AB - In this paper, the embedding j in Wu Congxin and Ma Ming (1991) from fuzzy number space E 1 into a concrete Banach space C̄[0, 1] × C̄[0, 1] is extended to a more general case, i.e. j∼ from noncompact fuzzy number space E∼ into the Frechet space C∼(0, 1] × C∼(0, 1].

KW - Embedding

KW - Fuzzy analysis

KW - Fuzzy number

KW - Noncompact fuzzy number space

UR - https://www.scopus.com/pages/publications/0000215766

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JO - Fuzzy Sets and Systems

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ER -

Embedding problem of noncompact fuzzy number space E^∼ (I)

Abstract

Keywords

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