基于决策者确定型偏好的Pythagorean模糊集决策模型  

Pythagorean Fuzzy Set Decision Model Based on the Decision-maker's Deterministic Preference

作　　者：陈孝国 黄鸿辉 杨悦 余高锋 王佑恩 CHEN Xiao-guo;HUANG Hong-hui;YANG Yue;YU Gao-feng;WANG You-en(School of Information Engineering,Sanming University,Sanming 365004,China;College of Science,Heilongjiang University of Science and Technology,Harbin 150022,China;College of Architecture and Civil Engineering,Sanming University,Sanming 365004,China)

机构地区：[1]三明学院信息工程学院,福建三明365004 [2]黑龙江科技大学理学院 [3]三明学院建筑工程学院

出　　处：《通化师范学院学报》2022年第2期28-34,共7页Journal of Tonghua Normal University

基　　金：福建省自然科学基金面上项目(2020J01384);福建省中青年教师教育科研项目(JAT190688,B201901);三明学院引进高层次人才科研启动项目(19YG01);黑龙江省自然科学基金项目(LH2019E085).

摘　　要：为了解决信息描述的全面性,以及决策者具有明显偏好的复杂决策问题.该文提出了一种灰Pythagorean模糊集决策方法,针对决策者对备选方案有自己的主观偏好,且偏好信息和评价信息均为Pythagorean模糊数的多属性决策问题,从因素权重完全未知和部分未知的角度构建基于Pythagorean模糊交叉熵和灰色关联分析的综合决策模型,利用拉格朗日乘子法和优化理论求解权重,并通过改变灰色分辨系数的取值做扰动分析来检验决策结果的可靠性.上述研究将进一步丰富灰色理论与Pythagorean模糊集相融合的决策方法.In order to solve the comprehensive information description,and the decision makers have obvi⁃ous preference for complex decision making problems.This paper proposes a grey Pythagorean fuzzy deci⁃sion making method,focused on alternatives for decision makers have their own subjective preference,and the preference information and assessment information are all Pythagorean the number of fuzzy multiple attribute decision-making problems,from the Angle of the unknown factors weights are unknown complete⁃ly and part of Pythagorean based fuzzy cross entropy and gray correlation analysis of comprehensive deci⁃sion making model,using the Lagrange multiplier method and the fuzzy optimization theory,and the per⁃turbation analysis is done by changing the grey distinguish coefficient values to test the reliability of the decision result.The above research will further enrich the decision method of merging grey theory with Pythagorean fuzzy set.

关 键 词：Pythagorean模糊集 模糊交叉熵 确定型偏好信息 灰色关联系数 

分 类 号：O159[理学—数学]