[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5391/JKIIS.2005.15.6.754

Entropy and information energy arithmetic operations for fuzzy numbers

Hong, Dug-Hun (Department of Mathematics, Myongji University)
Kim, Kyung-Tae (Department of Electronics and Electrical Information Engineering, Kyungwon University)

Publication Information

Journal of the Korean Institute of Intelligent Systems / v.15, no.6, 2005 , pp. 754-758 More about this Journal

Abstract

There have been several tipical methods being used tomeasure the fuzziness (entropy) of fuzzy sets. Pedrycz is the original motivation of this paper. Recently, Wang and Chiu [FSS103(1999) 443-455] and Pedrycz [FSS 64(1994) 21-30] showed the relationship(addition, subtraction, multiplication) between the entropies of the resultant fuzzy number and the original fuzzy numbers of same type. In this paper, using Lebesgue-Stieltjes integral, we generalize results of Wang and Chiu [FSS 103(1999) 443-455] concerning entropy arithmetic operations without the condition of same types of fuzzy numbers. And using this results and trade-off relationship between information energy and entropy, we study more properties of information energy of fuzzy numbers.

Keywords

Entropy; Fuzzy numbers; Measure of fuzzinesss; Arithmetic operations;

Citations & Related Records

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