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http://dx.doi.org/10.5391/JKIIS.2008.18.2.183

On fuzzy preinvexity in Choquet integrals  

Jang, Lee-Chae (건국대학교 전산수학과)
Kim, Hyun-Mee (경희대학교 수학과)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.18, no.2, 2008 , pp. 183-186 More about this Journal
Abstract
We consider fuzzy invex sets, fuzzy preinvex functions, fuzzy quasi-preinvex functions, and fuzzy logarithmic preinvex functions. Murofushi et al. have been studied Choquet integrals and their properties. In this paper, we study some characterizations in Choquet integrals as follows: fuzzy preinvexity, fuzzy quasi-preinvexity, and fuzzy logarithemic preinvexity, that mean some characterizations of functionals defined by Choquet integrals. Furthermore, we discuss Jensen's type inequality in Choquet integrals.
Keywords
fuzzy invex set; fuzzy preinvex functions; fuzzy quasi-preinvex functions; fuzzy logarithmic preinvex functions; Choquet integrals; fuzzy measures;
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