(1) Institute for Information and System Science, Xian Jiaotong University, Xian, 710049, China;(2) Department of Mathematics, Jinzhou Teachers College, Jinzhou, 121003, China
Abstract:
In this paper, we introduce and study the signed fuzzy-valued measure and using the representation theorem of fuzzy numbers, we establish the Radon-Nikodym theorem for fuzzy-valued measurable functions with respect to fuzzy-valued measures.AMS Subject Classification (2000): 28E10, 04A72The research of this work is supposed by a grant of the education committee of Liaoning Province, China #20161049