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Signed Fuzzy-Valued Measures and Radon-Nikodym Theorem of Fuzzy-Valued Measurable Functions
Authors:Chen?Degang  author-information"  >  author-information__contact u-icon-before"  >  mailto:chengdegan@.net"   title="  chengdegan@.net"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Zhang?Liguo
Affiliation:(1) Institute for Information and System Science, Xi"rsquo"an Jiaotong University, Xi"rsquo"an, 710049, China;(2) Department of Mathematics, Jinzhou Teacher"rsquo"s 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
Keywords:Fuzzy number  Signed fuzzy-valued measure  Fuzzy-valued measure
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