| Quasi-cardinality of a Fuzzy Set on a Measurable Universe of Discourse |
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| 作者姓名： | 耿辉 陆余楚 |
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| 作者单位： | GENG Hui，LU Yu-chu Department of Mathematics，Shanghai University 200436 |
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| 基金项目： | NationalNaturalScienceFoundationofChina .No .198310 2 0 |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｃａｒｄｉｎａｌｉｔｙｏｆａｆｕｚｚｙｓｅｔｉｓｏｎｅｏｆｔｈｅｐｒｏｂｌｅｍｓｔｈａｔｈａｖｅｂｅｅｎｉｎｔｅｒｅｓｔｅｄｉｎｆｕｚｚｙｓｔａｔｉｓｔｉｃｓｄｕｅｔｏｉｔｓｖａｒｉｅｔｙｏｆａｐｐｌｉｃａｔｉｏｎ .Ｆｏｒｅｘａｍｐｌｅｉｎｉｎｓｕｒａｎｃｅａｃｔｕａｒｙ ,ｔｈｅｆｕｚｚｙｓｅｔｏｆｐｅｏｐｌｅｉｎｔｈｅｔｈｉｒｄｓｔａｔｅｉｓｒｅｌａｔｅｄｔｏｔｈｅｃａｒｄｉｎａｌｉｔｙ1] .Ａｌｓｏｔｈｅｃａｒｄｉｎａｌｉｔｙｉｓｃｌｏｓｅｌｙｒｅｌａｔｅｄｔｏ…
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Quasi-cardinality of a Fuzzy Set on a Measurable Universe of Discourse |
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| GENG Hui,LU Yu-chu.Quasi-cardinality of a Fuzzy Set on a Measurable Universe of Discourse[J].Journal of Donghua University,2002,19(2). |
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| Authors: | GENG Hui LU Yu-chu |
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| Institution: | Department of Mathematics, Shanghai University 200436 |
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| Abstract: | The concepts of quasi-cardinality, possibility and expectation of a fuzzy set on a measurable set, as a generalization of the quasi-cardinality of a fuzzy set on a finite universe of discourse is proposed. Also some properties of them are given out and thus some relevant results are elucidated. |
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| Keywords: | Quasi-cardinality of the fuzzy set fuzzy nature number the measure of a set |
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