计算机工程与应用2016，Vol.52Issue(23)：50-54,243,6.DOI:10.3778/j.issn.1002-8331.1501-0022
基于Pythagorean模糊语言集多属性群决策方法
Multiple attribute group decision making methods based on Pythagorean fuzzy lin-guistic set
摘要
Abstract
In order to solve the problem that intuitionistic linguistic set can’t deal with the situation that the sum of mem-bership degree and non-membership degree belonging to linguistic value is bigger than 1, and Pythagorean fuzzy linguis-tic set is proposed. For the Pythagorean fuzzy linguistic information aggregating problems, some operational laws, score function, and accuracy function of Pythagorean Fuzzy Linguistic Numbers(PFLNs)are defined. Based on the operational laws, the Pythagorean Fuzzy Linguistic Weighted Averaging(PFLWA)operator, Pythagorean Fuzzy Linguistic Ordered Weighted Averaging(PFLOWA) operator, and Pythagorean Fuzzy Linguistic Hybrid Averaging(PFLHA) operator are proposed, and some desirable properties are discussed in detail. Then, based on PFLWA operator and extension of TOPSIS with combined weight, two approaches for solving multiple attribute group decision making are explored. Finally, an illus-trative example shows the effectiveness of the methods.关键词
Pythagorean模糊语言集/Pythagorean模糊语言数/组合权重/逼近理想解排序法(TOPSIS)Key words
Pythagorean fuzzy linguistic set/Pythagorean fuzzy linguistic number/combined weight/Technique for Order Preference Similarity to Ideal Solution(TOPSIS)分类
信息技术与安全科学引用本文复制引用
彭新东,杨勇..基于Pythagorean模糊语言集多属性群决策方法[J].计算机工程与应用,2016,52(23):50-54,243,6.基金项目
国家自然科学基金（No.61163036）。 （）
