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AN EMBEDDING OPERATOR FOR FUZZY NUMBER SPACE E^1 AND ITS APPLICATION FOR FUZZY INTEGRAL 被引量:5

AN EMBEDDING OPERATOR FOR FUZZY NUMBER SPACE E^1 AND ITS APPLICATION FOR FUZZY INTEGRAL
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摘要 In this paper,we give an order-preserving,isometric and isomorphic embeddingoperator from the fuzzy number space E^1 to a classical Banach space and show some necessary andsufficient integrability conditions of fuzzy integrals which were defined by M.Matloka and O.Kaleva by means of such an operator. In this paper,we give an order-preserving,isometric and isomorphic embedding operator from the fuzzy number space E^1 to a classical Banach space and show some necessary andsufficient integrability conditions of fuzzy integrals which were defined by M.Matloka and O.Kaleva by means of such an operator.
作者 吴从炘 马明
出处 《Systems Science and Mathematical Sciences》 SCIE EI CSCD 1990年第3期193-199,共7页
基金 This work is partially supported by the National Natural Science Foundation of China
关键词 FUZZY NUMBER EMBEDDING OPERATOR FUZZY INTEGRAL Fuzzy number embedding operator fuzzy integral
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