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http://dx.doi.org/10.14403/jcms.2014.27.3.469

ON PROPERTIES OF DERIVATIVES WITH RESPECT TO FUZZY MEASURES

Choi, Jongsung (Division of General Education-Mathematics Kwangwoon University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.27, no.3, 2014 , pp. 469-474 More about this Journal

Abstract

Fuzzy measures in this paper are a class of distorted Lebesgue measures (see [5]). We investigate some properties of the derivatives with respect to distorted Lebesgue measures and give some important examples.

Keywords

Choquet integral; fuzzy measures;

Citations & Related Records

Reference

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4	U. Hohle, Integration with respect to fuzzy measures, in: Proceedings of the IFAC Symposium on Theory and Application of Digital Control, New Delhi, 1982, 35-37.
5	M. Sugeno, A note on derivatives of functions with respect to fuzzy measures, Fuzzy Sets and Systems 222 (2013), 1-17. DOI ScienceOn