Existence of supremum and infimum in E∼ and relations of (M) integral and (G) integral

Cong Xin Wu; Bo Kan Zhang

Existence of supremum and infimum in E∼ and relations of (M) integral and (G) integral

^*Corresponding author for this work

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

Abstract

Proves the existence of supremum and infimum in the noncompact fuzzy number space E∼, redefines E∼ -valued (M) integral, and then discusses the relations between (M) integral and (G) integral of E∼ -valued functions.

Original language	English
Pages (from-to)	58-61
Number of pages	4
Journal	Journal of Harbin Institute of Technology (New Series)
Volume	7
Issue number	3
Publication status	Published - Sept 2000
Externally published	Yes

Keywords

(G) integral
(M) integral
Fuzzy number
Supremum

Cite this

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title = "Existence of supremum and infimum in E∼ and relations of (M) integral and (G) integral",

abstract = "Proves the existence of supremum and infimum in the noncompact fuzzy number space E∼, redefines E∼ -valued (M) integral, and then discusses the relations between (M) integral and (G) integral of E∼ -valued functions.",

keywords = "(G) integral, (M) integral, Fuzzy number, Supremum",

author = "Wu, {Cong Xin} and Zhang, {Bo Kan}",

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T1 - Existence of supremum and infimum in E∼ and relations of (M) integral and (G) integral

AU - Wu, Cong Xin

AU - Zhang, Bo Kan

PY - 2000/9

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N2 - Proves the existence of supremum and infimum in the noncompact fuzzy number space E∼, redefines E∼ -valued (M) integral, and then discusses the relations between (M) integral and (G) integral of E∼ -valued functions.

AB - Proves the existence of supremum and infimum in the noncompact fuzzy number space E∼, redefines E∼ -valued (M) integral, and then discusses the relations between (M) integral and (G) integral of E∼ -valued functions.

KW - (G) integral

KW - (M) integral

KW - Fuzzy number

KW - Supremum

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M3 - Article

AN - SCOPUS:77949982007

SN - 1005-9113

VL - 7

SP - 58

EP - 61

JO - Journal of Harbin Institute of Technology (New Series)

JF - Journal of Harbin Institute of Technology (New Series)

IS - 3

ER -

Existence of supremum and infimum in E∼ and relations of (M) integral and (G) integral

Abstract

Keywords

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