A fuzzy Gould type integral

In this paper, we introduce and study a set-valued Gould type integral of a real function with respect to a fuzzy multimeasure taking values in the family of all nonempty closed subsets of a Banach space X. Some classical properties of the integral are obtained only using the hypothesis of monotonic...

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Bibliographic Details
Published in:Fuzzy sets and systems 2010-03, Vol.161 (5), p.661-680
Main Authors: Precupanu, Anca, Gavriluţ, Alina, Croitoru, Anca
Format: Article
Language:English
Subjects:
Applied sciences
Circuit properties
Computer science
control theory
systems
Digital circuits
Electric, optical and optoelectronic circuits
Electronic circuits
Electronics
Exact sciences and technology
Fuzzy multimeasure
Information, signal and communications theory
Mathematical analysis
Mathematical methods
Mathematics
Miscellaneous
Real functions
Sciences and techniques of general use
Set-valued Gould integral
Telecommunications and information theory
Theoretical computing
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Description
Summary:In this paper, we introduce and study a set-valued Gould type integral of a real function with respect to a fuzzy multimeasure taking values in the family of all nonempty closed subsets of a Banach space X. Some classical properties of the integral are obtained only using the hypothesis of monotonicity for the set-valued fuzzy measure.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2009.10.005