基于优势关系的多粒度 Pythagorean模糊粗糙集的粒度选择方法
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摘要：
在Pythagorean模糊粗糙集的基础上，结合优势关系与多粒度，提出了一种基于优势关系的多粒度Pythagorean模糊粗糙集模型，并对其进行研究。首先给出了优势关系的Pythagorean模糊粗糙集、Pythagorean模糊熵概念，讨论其性质，然后定义了在乐观、悲观下的优势关系的多粒度Pythagorean模糊粗糙集4种模型，以及Pythagorean模糊贴近度，并证明了其性质，设计了其最优粒度选择算法。通过遂昌金矿优化采矿的案例，对该模型进行了分析，验证了其有效性。
In this paper, on the basis of the Pythagorean fuzzy rough set, combining dominance with multiple granularity, a multi-granularity Pythagorean fuzzy rough set model based on dominance relationship was proposed, for studying. Firstly giving the concept of dominance relationship Pythagorean fuzzy rough set and Pythagorean fuzzy entropy, discussing their properties, then, four models of multi-granularity Pythagorean fuzzy rough set of dominance relations under optimism and pessimism are delined, and for Pythagorean fuzzy closeness, proving their properties, designing their optimal granularity selection algorithm, Through the case of optimizing mining in Suichang Gold Mine, the effectiveness of the model was analyzed and verified.
作者：
薛占熬，杨梦丽，辛现伟，郑宇，孙林
Xue Zhan'ao,Yang Mengli,Xin Xianwei,Zheng Yu,Sun Lin
机构地区：
计算机与信息工程学院;智慧商务与物联网技术河南省工程实验室
引用本文：
薛占熬，杨梦丽，辛现伟等。基于优势关系的多粒度Pythagorean模糊粗糙集的粒度选择方法 [J].学报（自然科学版）,2025, 53(3) : 79-87. (Xue Zhan'ao, Yang Mengli, Xin Xianwei, et al. Granularity selection method of multi-granularity Pythagorean fuzzy rough set based on dominance relationship[J].Journal of Henan Normal University(Natural Science Edition),2025,53(3):79-87.DOI:10.16366/j.cnki.1000-2367.2023.08.24.0001.)
基金：
国家自然科学基金；河南省科技攻关项目
关键词：
优势关系；Pythagorean模糊集；多粒度粗糙集；模糊熵;贴近度
dominance relationship; Pythagorean fuzzy set; multi-granularity rough set; fuzzy entropy; closeness degree
分类号：
O159
