Signed Fuzzy-Valued Measures and Radon-Nikodym Theorem of Fuzzy-Valued Measurable Functions |
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| Authors: | Email author" target="_blank">Chen?DegangEmail author Zhang?Liguo |
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| Institution: | (1) Institute for Information and System Science, Xi an Jiaotong University, Xian, 710049, China;(2) Department of Mathematics, Jinzhou Teachers College, Jinzhou, 121003, China |
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| 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 |
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| Keywords: | Fuzzy number Signed fuzzy-valued measure Fuzzy-valued measure |
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