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凸模糊函数判别法
引用本文:曾林泽,敬加强,等.凸模糊函数判别法[J].西华师范大学学报(哲学社会科学版),2001,22(3):274-277.
作者姓名:曾林泽  敬加强
作者单位:[1]川北医学院基础部,四川南充637007 [2]西南石油学院基础部,四川南充637001
摘    要:介绍了在工程与电子网络优化等领域中因客观事物的模糊性而自然存在的凸模糊集与凸模糊函数的相关概念及特性,论证了两类凸模糊函数的充分必要条件,提出了凸模糊函数判别法,用实例说明了其应用方法,结果表明了其有效性与可靠性。

关 键 词:凸集  凸函数  凸模糊集  凸模糊函数  判别方法  海赛矩阵
文章编号:1001-8220(2001)03-0274-04
修稿时间:2001年4月25日

Discrimination Method of Convex Fuzzy Function
ZENG Lin_ze ,JING Jia_qiang ,XIAO Fang_chun.Discrimination Method of Convex Fuzzy Function[J].Journal of China West Normal University:Natural Science Edition,2001,22(3):274-277.
Authors:ZENG Lin_ze  JING Jia_qiang  XIAO Fang_chun
Institution:ZENG Lin_ze 1,JING Jia_qiang 2,XIAO Fang_chun 2
Abstract:Convex fuzzy sets and function exists naturally in the scopes such as engineering and electronic network optimum because of the fuzzy properties of impersonal things. Their correlative concepts and properties are expounded. The sufficient and necessary conditions of two kinds of convesx functions are demonstrated. A discrimination Method of Convsex Fuzzy Function is proposed. Its applied method is illustrated. And the results show the validity and reliability. This method is the extension of convex analysis and has a wide application fields such as mathematical programming and optimizing control theory.
Keywords:convex sets  convex function  fuzzy  discrimination    
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