| 集合式Fuzzy度量及其应用 |
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| 引用本文： | 王戈平.集合式Fuzzy度量及其应用[J].徐州师范大学学报(自然科学版),1995(1). |
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| 作者姓名： | 王戈平 |
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| 摘 要： | 在Ｅｒｃｅｇ引进ｆｕｚｚｙｐ．ｑ．度量与梁基华给出ｆｕｚｚｙｐ．ｑ度量点式刻划的基础上，引进集合式ｆｕｚｚｙｐ．ｑ．度量Ｄ，它将每一对非空ｆｕｚｚｙ集对应于一个实数。Ｄ的某个限制ｄ称为分子式ｆｕｚｚｙｐ．ｑ．度量，它将每一对分子对应一个实数。本文详细地讨论了Ｅｒｃｅｇ意义下的ｆｕｚｚｙｐ．ｑ．度量、集合式ｆｕｚｚｙｐ．ｑ．度量与分子式ｆｕｚｚｙｐ．ｑ．度量之间的关系，并给出了某些应用。
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| 关 键 词： | Fizzy p．q．度量，集合式fuzzy p．q．度量，分子式fuzzy p．q．度量，Fuzzy拓扑 |
Setwise Fuzzy Metric and its Applications |
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| Wang Geping.Setwise Fuzzy Metric and its Applications[J].Journal of Xuzhou Normal University(Natural Science Edition),1995(1). |
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| Authors: | Wang Geping |
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| Institution: | Wang Geping |
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| Abstract: | The main purpose of this paper is to introduce a distance function D which assigns each pair of nonempty fuzzy sets to a real number. Such a function is called a setwise fuzzy p.q. metric. The restriction d of D, which assigns each pair of molecules to a real number,is called a moleculewise fuzzy p.q. metric. The relationships among Erceg's,setwise and moleculewise fuzzy p.q. metrics are investigated in detail. Some applications of them are obtained. |
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| Keywords: | Fuzzy p q metric setwise fuzzy p q metric moleculewise fuzzy p q metric fuzzy topology |
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