Jensen's inequality type integral for fuzzy-interval-valued functions

Costa T. M.

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Jensen's inequality type integral for fuzzy-interval-valued functions

机译：模糊区间值函数的Jensen不等式类型积分

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摘要

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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来源
《Fuzzy sets and systems》 |2017年第15期|31-47|共17页
作者
Costa T. M.;
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作者单位

Univ Colorado, Dept Math & Stat Sci, Denver, CO 80204 USA;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Fuzzy interval space; Fuzzy-interval integrability; Fuzzy Jensen's inequalities type integral;

机译：模糊区间空间;模糊区间可积性;模糊詹森不等式类型积分;

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1. Some integral inequalities for fuzzy-interval-valued functions [J] . T.M. Costa, H. Román-Flores Information Sciences: An International Journal . 2017,第期

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2. Lebesgue Integral Inequalities of Jensen Type for $lambda $-Convex Functions [J] . Dragomir S. S. Armenian journal of mathematics . 2018,第8期

机译：$ lambda $-凸函数的Jensen型Lebesgue积分不等式
3. Integral inequalities of Jensen type for $lambda$-convex functions [J] . S. S. Dragomir Matematicki Vesnik . 2016,第1期

机译：$ lambda $-凸函数的Jensen型积分不等式
4. Jensen type inequalities for pseudo-integrals of set-valued functions [C] . 8th International Symposium on Intelligent Systems and Informatics . 2010

机译：集值函数的伪积分的Jensen型不等式
5. Identities, inequalities, Parseval type relations for integral transforms and fractional integrals [D] . Yurekli, Osman 1988

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Jensen's inequality type integral for fuzzy-interval-valued functions

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