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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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