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On a Relationship Between Fuzzy Measures and AIFS
University of Skövde, School of Informatics. University of Skövde, The Informatics Research Centre. (Skövde Artificial Intelligence Lab (SAIL))ORCID iD: 0000-0002-0368-8037
Toho Gakuen, Kunitachi, Japan.
Iona College, New Rochelle, NY, USA.
2016 (English)In: International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, ISSN 0218-4885, Vol. 24, no 6, 847-858 p.Article in journal (Refereed) Published
Abstract [en]

The literature discusses several extensions of fuzzy sets. AIFS, IVFS, HFS, type-2 fuzzy sets are some of them. Interval valued fuzzy sets is one of the extensions where the membership is not a single value but an interval. Atanassov Intuitionistic fuzzy sets, for short AIFS, are defined in terms of two values for each element: membership and non-membership. In this paper we discuss AIFS and their relationship with fuzzy measures. The discussion permits us to define counter AIFS (cIFS) and discretionary AIFS (dIFS). They are extensions of fuzzy sets that are based on fuzzy measures.

Place, publisher, year, edition, pages
2016. Vol. 24, no 6, 847-858 p.
Keyword [en]
fuzzy sets, extensions of fuzzy sets, AIFS, IVFS, fuzzy measures
National Category
Computer Science
Identifiers
URN: urn:nbn:se:his:diva-13312DOI: 10.1142/S0218488516500380ISI: 000390245700003Scopus ID: 2-s2.0-84999648260OAI: oai:DiVA.org:his-13312DiVA: diva2:1065066
Available from: 2017-01-13 Created: 2017-01-13 Last updated: 2017-05-22Bibliographically approved

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Citation style
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  • Other locale
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