| 模糊集差运算 |
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| 引用本文： | 于福生,罗承忠.模糊集差运算[J].北京师范大学学报(自然科学版),1998,34(1):45-48. |
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| 作者姓名： | 于福生 罗承忠 |
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| 作者单位： | 北京师范大学数学系 |
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| 摘 要： | 对模糊集余运算公理化定义中的公理进行了简化，提出了模糊集差运算的公理化定义，并在所给公理条件下证明了运算的存在唯一性，求出了差运算的解析表达式，而且所求结果恰是Ｚａｄｅｈ给出的有界差运算，还讨论了差运算的性质以及各种差运算的比较。
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| 关 键 词： | 模糊集 模糊集运算 模糊集差运算 |
DIFFERENCE OPERATOR FOR FUZZY SETS |
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| Yu Fusheng,Luo ChengZhong.DIFFERENCE OPERATOR FOR FUZZY SETS[J].Journal of Beijing Normal University(Natural Science),1998,34(1):45-48. |
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| Authors: | Yu Fusheng Luo ChengZhong |
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| Abstract: | After the simplilication of the axioms in the axiomatic definition of complement operator for fuzzy sets, an axiomatic definition of difference operator for fuzzy sets is given.By the definition, the existence and the uniqueness of the difference operator are justified, the analytic expression of the difference opetator is also given, which is the only one given by Zadeh and is referred as bounded difference. At last, the properties of differenCe operator and the comparison with other difference operators are discussed. |
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| Keywords: | fuzzy sets fuzzy operator difference operator |
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