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Jensen's inequality type integral for fuzzy-interval-valued functions
M
.
Costa
, T.
Fuzzy sets and systems, 2017-11, Vol.327, p.31-47
[Peer Reviewed Journal]
Elsevier B.V
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Title:
Jensen's inequality type integral for fuzzy-interval-valued functions
Author:
M
.
Costa
, T.
Subjects:
Fuzzy interval space
;
Fuzzy Jensen's inequalities type integral
;
Fuzzy-interval integrability
Is Part Of:
Fuzzy sets and systems, 2017-11, Vol.327, p.31-47
Description:
This study presents fuzzy versions of Jensen inequalities type integral for convex and concave fuzzy-interval-valued functions. To this end, the concepts of fuzzy inclusion order relation, convexity, and concavity for fuzzy-interval-valued functions are used. Some examples showing the applicability of the theory developed in this study are presented. Since the fuzzy results are obtained through level sets of fuzzy-interval elements, the versions of these results in the interval context are presented here for the first time.
Publisher:
Elsevier B.V
Language:
English
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