| Title: | On a version of fuzzy Jensen inequality based on the measure of level-set |
Author(s): | Luan T.N. |
Keywords: | Fuzzy numbers; H-continuity; Jensen-type inequality; Level-continuity; Sugeno integral |
Abstract: | In this paper, we present a sufficient condition for the continuity of distribution function α→μ(fα) based on a condition of the measure of level-sets. From this result, an estimate of Jensen-type inequality for Sugeno integral is stated. Finally, it is applied to establish Jensen-type estimates for several kinds of fuzzy numbers. |
Issue Date: | 2021 |
Publisher: | Elsevier B.V. |
Series/Report no.: | Vol. 419 |
URI: | http://digital.lib.ueh.edu.vn/handle/UEH/61846 |
DOI: | https://doi.org/10.1016/j.fss.2020.08.002 |
ISSN: | 0165-0114 |
| Appears in Collections: | INTERNATIONAL PUBLICATIONS
|
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