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dc.contributor.author박춘길-
dc.date.accessioned2019-10-10T05:58:21Z-
dc.date.available2019-10-10T05:58:21Z-
dc.date.issued2019-04-
dc.identifier.citationIRANIAN JOURNAL OF FUZZY SYSTEMS, v. 16, NO 2, Page. 197-204en_US
dc.identifier.issn1735-0654-
dc.identifier.urihttp://ijfs.usb.ac.ir/article_4552.html-
dc.identifier.urihttps://repository.hanyang.ac.kr/handle/20.500.11754/110960-
dc.description.abstractThe fuzzy integrals are a kind of fuzzy measures acting on fuzzy sets. They can be viewed as an average membership value of fuzzy sets. The value of the fuzzy integral in a decision making environment where uncertainty is present has been well established. Most of the integral inequalities studied in the fuzzy integration context normally consider conditions such as monotonicity or comonotonicity. In this paper, we are trying to extend the fuzzy integrals to the concept of concavity. It is shown that the Hermite-Hadamard integral inequality for concave functions is not satisfied in the case of fuzzy integrals. We propose upper and lower bounds on the fuzzy integral of concave functions. We present a geometric interpretation and some examples in the framework of the Lebesgue measure to illustrate the results.en_US
dc.description.sponsorshipThis work was supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education, Science and Technology (NRF-2017R1D1A1B04032937).en_US
dc.language.isoenen_US
dc.publisherUNIV SISTAN &amp; BALUCHESTANen_US
dc.subjectSugeno fuzzy integralen_US
dc.subjectConcave functionen_US
dc.titleThe Sugeno fuzzy integral of concave functionsen_US
dc.typeArticleen_US
dc.relation.no2-
dc.relation.volume16-
dc.relation.page197-204-
dc.relation.journalIRANIAN JOURNAL OF FUZZY SYSTEMS-
dc.relation.code2019037502-
dc.sector.campusS-
dc.sector.daehakCOLLEGE OF NATURAL SCIENCES[S]-
dc.sector.departmentDEPARTMENT OF MATHEMATICS-
dc.identifier.pidbaak-
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COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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