Journal
FUZZY SETS AND SYSTEMS
Volume 327, Issue -, Pages 31-47Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2017.02.001
Keywords
Fuzzy interval space; Fuzzy-interval integrability; Fuzzy Jensen's inequalities type integral
Funding
- Brazilian National Council for Science and Technology Development (CNPq) grant [249300/2013-3]
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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. (C) 2017 Elsevier B.V. All rights reserved.
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