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模糊集合的表现隶属函数 被引量:1

Performance membership function of a Fuzzy set
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摘要 通过表现转移函数研究了模糊集合中元素在某个给定元素作为背景下隶属度发生偏移的情况,并以此给出了模糊集合的表现隶属函数概念,表示偏移后元素隶属度的分布情况;同时讨论了表现隶属函数的有关性质.最后,基于所得结果给出了群决策问题的一种改进方案和在图形图像处理中的应用. By the performance transfer function,the deviation of the membership degree of the elements in the Fuzzy set under a given element as the background was studied.The concept of the performance membership function of the Fuzzy set was introduced,which indicated the distribution of the membership degree of the elements after deviation.Meanwhile,the related properties of the performance membership function were discussed.Based on the obtained results,a method to improve the group decision problem and the application in graphic image processing were presented.
作者 晁海洲 倪翔飞 CHAO Haizhou;NI Xiangfei(Zhejiang College,Shanghai University of Finance and Economics,Jinhua 321013,China;College of Mathematics and Computer Science,Zhejiang Normal University,Jinhua 321004,China)
出处 《浙江师范大学学报(自然科学版)》 CAS 2021年第4期373-380,共8页 Journal of Zhejiang Normal University:Natural Sciences
基金 国家自然科学基金资助项目(11801515,11401534) 浙江省教育厅科研项目(Y201840008)。
关键词 模糊集 隶属函数 表现隶属函数 群决策 图像处理 Fuzzy set membership function performance membership function group decision image processing
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