A note on the interval-valued generalized fuzzy integral by means of an interval-representable pseudo-multiplication and their convergence properties
In this paper, we consider the generalized fuzzy integral which is a fuzzy integral based on the idempotent pseudo-addition (supremum) and a pseudo-multiplication studied by Xie and Fang in 2006. The purpose of this study is to define the interval-valued generalized fuzzy integral with respect to a fuzzy measure by means of an interval-representable pseudo-multiplication of measurable interval-valued functions and to investigate some characterizations and convergence properties of them. (C) 2012 Elsevier B.V. All rights reserved.
generalized fuzzy integral interval-representable pseudo-multiplication fuzzy measure interval-valued function convergence theorem