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The new approach to the construction of parametric membership functions for fuzzy sets with unequal supports
Blekinge Tekniska Högskola, Fakulteten för teknikvetenskaper, Institutionen för matematik och naturvetenskap.ORCID-id: 0000-0002-9920-7946
2017 (engelsk)Inngår i: Knowledge-Based and Intelligent Information & Engineering Systems: Proceedings of the 21st International Conference, KES-20176-8 September 2017, Marseille, France / [ed] Cecilia Zanni-Merk, Claudia Frydman, Carlos Toro, Yulia Hicks, Robert J. Howlett, Lakhmi C. Jain, Elsevier, 2017, Vol. 112, s. 2057-2065, artikkel-id kes17-155Konferansepaper, Publicerat paper (Fagfellevurdert)
Abstract [en]

The current research is devoted to developing methods of a novel mathematical interpretation of term-sets of linguistic variables. To the term-sets of the linguistic variables fuzzy sets are assigned. We intend to adopt the π-functions and the π-functions to derive formulas of membership functions of these sets. The fuzzy sets are divided in three families in the case of an odd number of the term-sets. To each family, we assign only one parametric formula, which depends on two parameters: the width of a non-fuzzy set, which contains all supports of the fuzzy sets being representatives of the term-sets, and a number of the term-sets. Provided that the supports of fuzzy sets will be unequal, the membership function of the set, belonging to one of the families, is computed by means of a functional modifier, inserted in the common equation typical of this family. Medical examples explain how to use cumulated membership functions practically. The procedure can be easily computerized.

sted, utgiver, år, opplag, sider
Elsevier, 2017. Vol. 112, s. 2057-2065, artikkel-id kes17-155
Serie
Procedia Computer Science, ISSN 1877-0509 ; 112
Emneord [en]
s-function; π-function; term-set of linguistic variable; variable intensity level; set-parametric boundaries; functional modifier
HSV kategori
Identifikatorer
URN: urn:nbn:se:bth-15144DOI: 10.1016/j.procs.2017.08.253ISI: 000418466000217OAI: oai:DiVA.org:bth-15144DiVA, id: diva2:1141834
Konferanse
21st International Conference on Knowledge-Based and Intelligent Information & Engineering Systems, Marseille
Merknad

Open Access

Tilgjengelig fra: 2017-09-16 Laget: 2017-09-16 Sist oppdatert: 2018-01-18bibliografisk kontrollert

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kes17-155(226 kB)448 nedlastinger
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Forlagets fullteksthttp://www.sciencedirect.com/science/article/pii/S1877050917316629

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