A Method for Automatic Membership Function Estimation Based on Fuzzy Measures

Authors:
Grzegorz Nieradka;Bohdan Butkiewicz
Affiliations:
Warsaw University of Technology, Institute of Electronic Systems, Nowowiejska 15/19, 00 - 665 Warsaw, Poland;Warsaw University of Technology, Institute of Electronic Systems, Nowowiejska 15/19, 00 - 665 Warsaw, Poland
Venue:
IFSA '07 Proceedings of the 12th international Fuzzy Systems Association world congress on Foundations of Fuzzy Logic and Soft Computing
Year:
2007

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Abstract

Estimation of membership function is one of the most important problems in the application of fuzzy sets. This paper presents one of approaches to this problem. A method for estimation of membership function is proposed, based on fuzzy measures: fuzzy entropy and fuzzy index. Examples of generating membership function in the field of image processing are shown.The method presented in this paper can be used in other fields of computer sciences, where statistical data are available.