On the extension of the fuzzy number measures in Banach spaces: Part I. Representation of the fuzzy number measures

Xue Xiaoping; Ha Minghu; Wu Congxin

doi:10.1016/0165-0114(96)84616-1

On the extension of the fuzzy number measures in Banach spaces: Part I. Representation of the fuzzy number measures

Xue Xiaoping^*
, Ha Minghu
, Wu Congxin

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

16 Scopus citations

Abstract

In this paper, the definition of the fuzzy number measures which extends the concepts of the set-valued measures in Banach spaces is introduced. The relations between the fuzzy number measures and the set-valued measures are studied. The definition of the indefinite integral of the random fuzzy numbers is also introduced and its properties are discussed.

Original language	English
Pages (from-to)	347-354
Number of pages	8
Journal	Fuzzy Sets and Systems
Volume	78
Issue number	3
DOIs	https://doi.org/10.1016/0165-0114(96)84616-1
State	Published - 1996

Keywords

Banach spaces
Fuzzy number measures
Measure theory
Set-valued measures

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10.1016/0165-0114(96)84616-1

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title = "On the extension of the fuzzy number measures in Banach spaces: Part I. Representation of the fuzzy number measures",

abstract = "In this paper, the definition of the fuzzy number measures which extends the concepts of the set-valued measures in Banach spaces is introduced. The relations between the fuzzy number measures and the set-valued measures are studied. The definition of the indefinite integral of the random fuzzy numbers is also introduced and its properties are discussed.",

keywords = "Banach spaces, Fuzzy number measures, Measure theory, Set-valued measures",

author = "Xue Xiaoping and Ha Minghu and Wu Congxin",

year = "1996",

doi = "10.1016/0165-0114(96)84616-1",

language = "英语",

volume = "78",

pages = "347--354",

journal = "Fuzzy Sets and Systems",

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T1 - On the extension of the fuzzy number measures in Banach spaces

T2 - Part I. Representation of the fuzzy number measures

AU - Xiaoping, Xue

AU - Minghu, Ha

AU - Congxin, Wu

PY - 1996

Y1 - 1996

N2 - In this paper, the definition of the fuzzy number measures which extends the concepts of the set-valued measures in Banach spaces is introduced. The relations between the fuzzy number measures and the set-valued measures are studied. The definition of the indefinite integral of the random fuzzy numbers is also introduced and its properties are discussed.

AB - In this paper, the definition of the fuzzy number measures which extends the concepts of the set-valued measures in Banach spaces is introduced. The relations between the fuzzy number measures and the set-valued measures are studied. The definition of the indefinite integral of the random fuzzy numbers is also introduced and its properties are discussed.

KW - Banach spaces

KW - Fuzzy number measures

KW - Measure theory

KW - Set-valued measures

UR - https://www.scopus.com/pages/publications/16344388641

U2 - 10.1016/0165-0114(96)84616-1

DO - 10.1016/0165-0114(96)84616-1

M3 - 文章

AN - SCOPUS:16344388641

SN - 0165-0114

VL - 78

SP - 347

EP - 354

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 3

ER -

On the extension of the fuzzy number measures in Banach spaces: Part I. Representation of the fuzzy number measures

Abstract

Keywords

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