期刊
INFORMATION SCIENCES
卷 420, 期 -, 页码 110-125出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2017.08.055
关键词
Fuzzy interval space; Fuzzy integral; Fuzzy Minkowski's inequality; Fuzzy Beckenbach's inequality
资金
- Coordination for the Improvement of Higher Education Personnel (CAPES/PNPD/UFPA)
- CONICYT-CHILE [FONDECYT 1151159]
This study presents new fuzzy versions of Minkowski and Beckenbach's integral inequalities without making use of the Sugeno integral. These new inequalities generalize the interval versions of the Minkowski and Beckenbach inequalities recently published and are obtained by introducing the p-FA-integrability concept for fuzzy-interval-valued functions by means of the Kaleva integral and a fuzzy order relation. This fuzzy order relation is defined level-wise through the Kulisch-Miranker order relation given on the interval space. Numerical examples that illustrate the applicability of the theory developed in this study are presented. (C) 2017 Elsevier Inc. All rights reserved.
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