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基于凸面单形体的Vague集向Fuzzy集转化模型

, PP. 426-434

Keywords: Vague集,Fuzzy集,单形体转化模型(S-TM),转化准则,凸面单形体

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Abstract:

利用Vague集与凸面单形体同一平面内3个三角形的对应关系,给出一种Vague集及其向Fuzzy集转化的单形体几何表示方法,有效解决Vague集向Fuzzy集转化方法或模型中的几何解释问题。提出Vague集向Fuzzy集转化的单形体转化模型(S-TM),以及应满足的转化准则。与已有转化方法或模型相比,S-TM具有更直观的几何表示和更明确、更确定的几何解释,是一种更为有效的转化模型,并说明Vague集向Fuzzy集的转化具有模糊性和逐渐转化性。

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