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扰动模糊命题中的阿基米德表现定理
引用本文:刘心.扰动模糊命题中的阿基米德表现定理[J].辽宁师范大学学报(自然科学版),2005,28(4):399-401.
作者姓名:刘心
作者单位:东北财经大学,数量经济系,辽宁,大连,116025
摘    要:在扰动模糊逻辑命题及其算子的基础上.定义了复合生成子的概念.讨论了阿基米德扰动t-范和扰动t-余范.然后将一维模糊逻辑算子推广到二维的扰动模糊逻辑算子中去,同时对这些逻辑算子的性质做了较为系统的研究,进而给出阿基米德扰动t-范和扰动t-余范的表现定理.

关 键 词:扰动模糊逻辑  扰动t-范  扰动t-余范  复合生成子  阿基米德表现定理
文章编号:1000-1735(2005)04-0399-03
收稿时间:07 14 2005 12:00AM
修稿时间:2005年7月14日

Archimedes Representation Theorem in Disturbing Fuzzy Proposition
LIU Xin.Archimedes Representation Theorem in Disturbing Fuzzy Proposition[J].Journal of Liaoning Normal University(Natural Science Edition),2005,28(4):399-401.
Authors:LIU Xin
Abstract:Based on disturbing Fuzzy logic proposition and its operators, the compound derived operator is defind, Archimedes disturbing t-norm and t-conorm are discussed, the 1-dimensional fuzzy logic operators are extended to 2-dimensional disturbing fuzzy logic operators, and properties of these logic operators are studied. At the same time, an representation theorem of Archimedes disturbing t-norm and t-conorm is suggested.
Keywords:disturbing fuzzy logic  disturbing t-norm  disturbing t-conorm  compound derived operator  Archimedes representation theorem
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