Proceedings of the Korean Institute of Intelligent Systems Conference (한국지능시스템학회:학술대회논문집)

Korean Institute of Intelligent Systems (한국지능시스템학회)
권호 표지

On some properties of distance measures and fuzzy entropy

  • Lee, Sang-Hyuk (Dept. of Electrical Engineering, Pusan National University) ;
  • Kim, Sungshin (Dept. of Electrical Engineering, Pusan National University)
  • Published : 2002.12.01

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Abstract

Representation and quantification of fuzziness are required for the uncertain system modelling and controller design. Conventional results show that entropy of fuzzy sets represent the fuzziness of fuzzy sets. In this literature, the relations of fuzzy enropy, distance measure and similarity measure are discussed, and distance measure is proposed. With the help of relations of fuzzy enropy, distance measure and similarity measure, fuzzy entropy is represented by the newly proposed distance measure. With simple fuzzy set, example is illustrated.

Keywords