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模糊集差运算

DIFFERENCE OPERATOR FOR FUZZY SETS

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【作者】 于福生罗承忠

【Author】 Yu Fusheng;Luo ChengZhong (Department of Mathematics, Beijing Normal University, 100875, Beijing, China)

【机构】 北京师范大学数学系!100875北京

【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差运算的存在唯一性,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.

【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.

【关键词】 模糊集模糊集运算模糊集差运算
【Key words】 fuzzy setsfuzzy operatordifference operator
【基金】 国家自然科学基金!2230208
  • 【文献出处】 北京师范大学学报(自然科学版) ,JOURNAL OF BEIJING NORMAL UNIVERSITY(NATURAL SCIENCE) , 编辑部邮箱 ,1998年01期
  • 【分类号】O159
  • 【被引频次】10
  • 【下载频次】146
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