سال انتشار: ۱۳۹۰
محل انتشار: یازدهمین کنفرانس سیستم های فازی ایران
تعداد صفحات: ۴
D. Foroutannia –
s Asadian2 –
In this paper, we prove a Hardy type inequality for fuzzy integrals.The theory of fuzzy measures and fuzzy integrals (also known as sugeno integral) was introduced by Sugeno  as a tool for modelling non-deterministic problems. The properties and applications of the Sugeno integral have been studied by many authors, among others, Ralescu and Adams  in the study of several equivalent definitions of fuzzy integrals, and Wang and Klir  in a general overview on fuzzy measurement and fuzzy integration theory. The study of the Hardy,s inequality for Sugeno integral was initiated by Romn-Flores et al. , and then followed by the others[1,3]. The purpose of this paper is to prove a Hardy,s inequality for the Sugeno integral[3,6]. Firstly, we introduce some basic notation and properties of the fuzzy integral.