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

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.

Key words: Pythagorean fuzzy set, Pythagorean fuzzy symmetric cross entropy, normalized weighted projection, R&, D project optimization decision