Random fuzzy number integrals in Banach spaces

Xue Xiaoping; Ha Minghu; Ma Ming

doi:10.1016/0165-0114(94)90303-4

Random fuzzy number integrals in Banach spaces

Xue Xiaoping^*
, Ha Minghu
, Ma Ming

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

18 Scopus citations

Abstract

In this paper, a new kind of random fuzzy number integral is introduced by the Pettis-Aumann integral of the set-valued functions in Banach spaces. The existence of the random fuzzy integral is also shown. Levi's convergence theorem of the integral is given a special mention.

Original language	English
Pages (from-to)	97-111
Number of pages	15
Journal	Fuzzy Sets and Systems
Volume	66
Issue number	1
DOIs	https://doi.org/10.1016/0165-0114(94)90303-4
State	Published - 25 Aug 1994

Keywords

Analysis
Banach space
Fuzzy random variables
Random fuzzy number integral

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10.1016/0165-0114(94)90303-4

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title = "Random fuzzy number integrals in Banach spaces",

abstract = "In this paper, a new kind of random fuzzy number integral is introduced by the Pettis-Aumann integral of the set-valued functions in Banach spaces. The existence of the random fuzzy integral is also shown. Levi's convergence theorem of the integral is given a special mention.",

keywords = "Analysis, Banach space, Fuzzy random variables, Random fuzzy number integral",

author = "Xue Xiaoping and Ha Minghu and Ma Ming",

year = "1994",

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doi = "10.1016/0165-0114(94)90303-4",

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T1 - Random fuzzy number integrals in Banach spaces

AU - Xiaoping, Xue

AU - Minghu, Ha

AU - Ming, Ma

PY - 1994/8/25

Y1 - 1994/8/25

N2 - In this paper, a new kind of random fuzzy number integral is introduced by the Pettis-Aumann integral of the set-valued functions in Banach spaces. The existence of the random fuzzy integral is also shown. Levi's convergence theorem of the integral is given a special mention.

AB - In this paper, a new kind of random fuzzy number integral is introduced by the Pettis-Aumann integral of the set-valued functions in Banach spaces. The existence of the random fuzzy integral is also shown. Levi's convergence theorem of the integral is given a special mention.

KW - Analysis

KW - Banach space

KW - Fuzzy random variables

KW - Random fuzzy number integral

UR - https://www.scopus.com/pages/publications/0039249194

U2 - 10.1016/0165-0114(94)90303-4

DO - 10.1016/0165-0114(94)90303-4

M3 - 文章

AN - SCOPUS:0039249194

SN - 0165-0114

VL - 66

SP - 97

EP - 111

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 1

ER -

Random fuzzy number integrals in Banach spaces

Abstract

Keywords

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