| Nonabsolute Fuzzy Integrals, Absolute Integrability and Its Absolute Value Inequality |
| Received:June 20, 2006 Revised:December 12, 2006 |
| Key Words:
fuzzy numbers fuzzy-number-valued functions absolute integrability.
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| Fund Project:the National Natural Science Foundation of China (No.10771171); the Scientific Research Item of Gansu Education Department (No.0601-20). |
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| Abstract: |
| Absolute integrability and its absolute value inequality for fuzzy-number-valued functions are worth to be considered. In this paper, absolute integrability and its absolute value inequality for fuzzy-number-valued functions are discussed by means of the characteristic theorems of nonabsolute fuzzy integrals and the embedding theorem, i.e., the fuzzy number space can be embedded into a concrete Banach space. Several necessary and sufficient conditions and examples are given. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2008.03.004 |
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