Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/3566
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dc.contributor.authorAkın, Ömer-
dc.contributor.authorBayeğ, Selami-
dc.date.accessioned2020-06-26T14:04:03Z
dc.date.available2020-06-26T14:04:03Z
dc.date.issued2018
dc.identifier.citationAkı, Ö. and Özkan, M. (2018). Some results on H. metric for intuitionistic fuzzy sets. International Conference On Mathematics And Mathematics Educaton(ICMME-2018), 27-28 June, Elazığ, Türkiye.en_US
dc.identifier.urihttps://hdl.handle.net/20.500.11851/3566-
dc.identifier.urihttp://theicmme.org/docs/Abstracts_Book/ICMME-2018_Book_of_Abstracts.pdf-
dc.descriptionInternational Conference On Mathematics And Mathematics Educatİon ICME-2018, (27-28 June 2018: Ordu,Turkey)en_US
dc.description.abstractFuzzy set theory was frstly introduced by L. A. Zadeh in 1965 [1]. In fuzzy sets, every element in the set is accompanied with a function μ(x): X → [0, 1], called membership function. The membership function may have uncertainty in some applications because of the subjectivity of the expert or the missing information in the model. Hence some extensions of fuzzy set theory were proposed [2-4]. One of these extensions is Atanassov’s intuitionistic fuzzy set (IFS) theory [2]. In 1986, Atanassov [2] introduced the concept of intuitionistic fuzzy sets and carried out rigorous researches to develop the theory. In this set concept, he introduced a new degree ν(x) : X → [0, 1], called non-membership function, such that the sum μ+ν is less than or equal to 1. Hence the difference 1 −(μ+ν) is regarded as degree of hesitation. Since intuitionistic fuzzy set theory contains membership function, non-membership function and the degree of hesitation, it can be regarded as a tool which is more flexible and closer to human reasoning in handling uncertainty due to imprecise knowledge or data. The Hausdorff metric distance between the alpha cuts of fuzzy numbers is one of the most used metric on fuzzy set theory. It measures how far fuzzy numbers are [5]. In this work we will give some results based on the maximum metric involving Hausdorff metric to measure the distance between intuitionistic fuzzy numbers. We will show that intuitionistic fuzzy numbers are complete under the maximum metric based on Hausdorff metric. As a result we will prove that that space of continuous intuitionistic fuzzy number valued functions are complete under this metric.en_US
dc.language.isoenen_US
dc.publisherMatematikçiler Derneğien_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFuzzy setsen_US
dc.subjectintuitionistic fuzzy setsen_US
dc.subjecthausdorff metricen_US
dc.subjectcompletenessen_US
dc.titleSome Results on Hausdorff Metric for Intuitionistic Fuzzy Setsen_US
dc.typeConference Objecten_US
dc.departmentFaculties, Faculty of Science and Literature, Department of Mathematicsen_US
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümütr_TR
dc.identifier.startpage369en_US
dc.identifier.endpage370en_US
dc.institutionauthorAkın, Ömer-
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
item.openairetypeConference Object-
item.languageiso639-1en-
item.grantfulltextnone-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
crisitem.author.dept07.03. Department of Mathematics-
Appears in Collections:Matematik Bölümü / Department of Mathematics
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