| 模糊关系运算的传递性 |
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| 引用本文： | 薛晔,王绪柱.模糊关系运算的传递性[J].太原理工大学学报,2003,34(1):56-59. |
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| 作者姓名： | 薛晔 王绪柱 |
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| 作者单位： | 太原理工大学理学院,山西,太原,030024 |
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| 基金项目： | 山西省留学回国人员基金资助项目 (194-10 10 0 3 ) |
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| 摘 要： | 详细讨论模糊关系一元及二元运算的传递性性质。首先给定一个模糊关系具有某种传递性性质，讨论其余关系、逆关系、对偶关系的传递性性质；然后基于两个模糊关系具有某类传递性，讨论它僮的模并、模交运算的传递性性质。
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| 关 键 词： | 模糊关系 传递性 DeMorgan三元组 一元运算 二元运算 |
| 文章编号： | 1007-9432(2003)01-0056-04 |
| 修稿时间： | 2002年4月11日 |
The Transitivity-related Properties of Operations of Fuzzy Relations |
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| XUE Ye,WANG Xu zhu.The Transitivity-related Properties of Operations of Fuzzy Relations[J].Journal of Taiyuan University of Technology,2003,34(1):56-59. |
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| Authors: | XUE Ye WANG Xu zhu |
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| Abstract: | In this paper, we discuss the transitivity related properties of unary and binary operations of fuzzy relations in detail. First of all, the same transitivity of complement, inverse and duality of a fuzzy relations is investigated providing that the relation has some certain transitivity. Then, the transitivity of union and intersection of fuzzy relations is studied when the involved relations are transitive. |
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| Keywords: | fuzzy relation transitivity De Morgan triplet |
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