直觉模糊决策系统的一种变协调度粗糙集模型

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英文篇名：A variable consistency rough set model for intuitionistic fuzzy decision system 作者：郭庆 ; 张爱萍 英文作者：GUO Qing;ZHANG Aiping;School of Mathematics, Hefei University of Technology; 关键词：粗糙集 ; 直觉模糊决策系统 ; 序关系 ; 变协调度 ; 序决策规则 ; 置信度 英文关键词：rough set;;intuitionistic fuzzy decision system;;order relation;;variable consistency;;order decision rule;;confidence degree 中文刊名：HEFE 英文刊名：Journal of Hefei University of Technology(Natural Science) 机构：合肥工业大学数学学院; 出版日期：2019-06-28 出版单位：合肥工业大学学报(自然科学版) 年：2019 期：v.42;No.314 基金：国家自然科学基金资助项目(91538112);; 中央高校基本科研业务费专项资金资助项目(JS2017HGXJ0030;JZ2018HGBZ0085);; 合肥工业大学校订平台课课程优化项目 语种：中文; 页：HEFE201906020 页数：6 CN：06 ISSN：34-1083/N 分类号：120-125

摘要

严格序关系下的粗糙集模型在处理不协调直觉模糊决策系统时,下近似集中包含很少的对象,其中可能存在着被遗漏的对象。文章通过引入协调度提出了一种序关系下直觉模糊决策系统的变协调度粗糙集模型,该模型通过调节协调度阈值的大小能够较为有效地处理直觉模糊决策系统中的不协调性,并给出该模型相关的重要性质及其证明,这些性质揭示了所提模型与严格序关系下模型的区别与联系;然后通过引入直觉模糊决策系统的分类质量给出了相对约简的方法,同时给出序决策规则的获取方法及其置信度;最后通过算例验证了该模型的有效性与合理性。
        The lower approximate set of rough set model based on strict order relations includes very few objects in which missed objects may exist when dealing with the inconsistent intuitionistic fuzzy decision system. A variable consistency rough set model for intuitionistic fuzzy decision system based on order relation is proposed by introducing consistency degree, which can deal with the incoordination of intuitionistic fuzzy decision system by adjusting the size of the consistency degree threshold. The corresponding important properties and proof are given, which reveal the difference and relation between the proposed model and the model based on strict order relations. Then, by defining the classification quality of intuitionistic fuzzy decision system, the relative reduction method as well as the acquisition method and confidence degree of order decision rules is given. Finally, a numerical example is given to demonstrate the effectiveness and rationality of the proposed model.

引文

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