journal6 ›› 2012, Vol. 33 ›› Issue (2): 13-15.DOI: 10.3969/j.issn.1007-2985.2012.02.004
• 数学 • 上一篇 下一篇
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基金资助:
安徽建筑工业学院硕博基金资助项目（建院函2010-32-4）；国家自然科学基金资助项目（10926198）
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摘要：通过举例说明，L.A.Zadeh用映射定义模糊集是不恰当，用最大（∨）、最小（∧）2个算子来定义模糊集的并与交运算也是错误的.模糊学家提供的s-范数、t-范数可证明也是错误的.由此得出模糊集不能用映射来定义，也不能用最大、最小算子定义模糊集的并与交.解决模糊现象的数学理论需要创新清晰集理论.
关键词： 模糊集, 映射, 排中律
Abstract: By examplification,it is shown that L. A. Zadeh improperly defined fuzzy sets with mapping and furthermore,he also incorrectly defined the join and intersection operations by selecting the maximal and minimal values.In fact,the fuzzy school knew the problem of selecting the values and they provide many arithmetic operators,especially the notions of t-and s-bound norms which are proven wrong.Therefore,it can be concluded that fuzzy-set theorists have not yet provided a reasonable definition for the join and intersection operations.
Key words: fuzzy sets, mapping, law of excluded middle
苏发慧. 模糊集的2个错误[J]. journal6, 2012, 33(2): 13-15.
SU Fa-Hui. Two Mistakes of Fuzzy Sets[J]. journal6, 2012, 33(2): 13-15.
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https://zkxb.jsu.edu.cn/CN/Y2012/V33/I2/13
