| Pythagorean模糊对称交叉熵及加权投影的多属性决策 |
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| 引用本文： | 韩二东,李占强.Pythagorean模糊对称交叉熵及加权投影的多属性决策[J].计算机工程与应用,2022,58(5):75-84. |
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| 作者姓名： | 韩二东 李占强 |
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| 作者单位： | 洛阳师范学院 商学院，河南 洛阳 471934 |
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| 基金项目： | 河南省软科学研究计划项目 |
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| 摘 要： | 在Pythagorean模糊多属性决策问题中,以欧式距离等距离测度为基础计算各备选方案与正、负理想解的距离,可能产生与正理想解距离更近的待选方案却与负理想解的距离也更近,导致所得方案排序结果并不能真实反映各备选方案的优劣程度.为有效克服决策结果的逆序问题,提出满足对称性、有界性的Pythagorean模糊对称交叉熵,进...
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| 关 键 词： | Pythagorean模糊集 Pythagorean模糊对称交叉熵 标准化加权投影 R&D项目优选决策 |
Pythagorean Fuzzy Symmetric Cross Entropy and Weighted Projection Method for Multi-attribute Decision Making |
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| HAN Erdong,LI Zhanqiang.Pythagorean Fuzzy Symmetric Cross Entropy and Weighted Projection Method for Multi-attribute Decision Making[J].Computer Engineering and Applications,2022,58(5):75-84. |
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| Authors: | HAN Erdong LI Zhanqiang |
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| Affiliation: | School of Business, Luoyang Normal University, Luoyang, Henan 471934, China |
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| Abstract: | This paper studies the Pythagorean fuzzy multiple attribute decision making problems.On the basis of Euclidean distance isometric measure,the distance between each alternative with positive and negative ideal solutions is calculated,it is possible to have a situation where the alternative which closer to the positive ideal solution is also closer to the negative ideal solution,as a result,the ranking results cannot really reflect the pros and cons of each alternative.In order to effectively overcome the reverse order problem of decision results,first of all,Pythagorean fuzzy symmetric cross entropy satisfying symmetry and boundedness is proposed,furthermore,Pythagorean fuzzy weighted symmetric cross entropy is defined.Secondly,for the canonical Pythagorean fuzzy decision matrix,positive and negative ideal alternatives are determined by score function,by calculating the symmetric cross entropy of each alternative with positive ideal alternative,the weight of each attribute is determined according to the grey correlation contribution degree.Thirdly,the weighted projection values of each alternative to positive and negative ideal alternative are calculated respectively,two kinds of weighted projection values are normalized,through the degree of closeness of each alternative,the alternative’s sequencing result is obtained.Finally,this decision method is applied to R&D project optimization decision problem,and the effectiveness and rationality of this method are verified by comparative analysis. |
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| Keywords: | Pythagorean fuzzy set Pythagorean fuzzy symmetric cross entropy normalized weighted projection R&D project optimization decision |
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