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https://open.uns.ac.rs/handle/123456789/5819
Title: | Inequalities of Hölder and Minkowski type for pseudo-integrals with respect to interval-valued ⊕-measures | Authors: | Medić, Slavica Grbić, Tatjana Perović, Aleksandar Nikoličić, Svetlana |
Issue Date: | 1-Dec-2016 | Journal: | Fuzzy Sets and Systems | Abstract: | © 2015 Elsevier B.V. In the present paper, the Hölder and Minkowski type of inequality for the pseudo-integral of a real-valued function with respect to the interval-valued pseudo-additive measure is proven. Two cases of semirings are considered. In the first case, pseudo-operations (pseudo-addition and pseudo-multiplication) are set by a strictly monotone continuous function. In the second case, the pseudo-addition is the idempotent operation sup, and pseudo-multiplication is specified by a strictly monotone continuous function, as in the first case. Trivial and nontrivial examples of interval-valued pseudo-additive measures are provided, as well as Hölder and Minkowski type of inequalities with respect to those measures. | URI: | https://open.uns.ac.rs/handle/123456789/5819 | ISSN: | 1650114 | DOI: | 10.1016/j.fss.2015.11.014 |
Appears in Collections: | FTN Publikacije/Publications |
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