连续区间Pythagorean模糊相似测度及其多属性决策方法

针对基于连续区间Pythagorean模糊相似测度的多属性群决策问题,首先,提出连续区间Pythagorean模糊有序加权平均(C-IVPFOWA)算子;然后定义一种新的连续区间Pythagorean模糊相似测度,并研究该相似测度的优良性质;接着,基于连续区间Pythagorean相似测度构建决策者权重和属性权重非线性优化模型,同时提出基于新的连续区间Pythagorean相似测度的多属性群决策方法;最后,通过智能家居工程案例验证所提出方法的可行性和有效性.

An Approach to Multi-attribute Group Decision Making Based on the Continuous Interval Pythagorean Fuzzy Similarity Measure

The purpose of this paper is to develop an approach to multi-attribute group decision making based on the continuous interval Pythagorean fuzzy similarity measure.Firstly, the continuous interval Pythagorean fuzzy ordered weighted average (C-IPFOWA) operator is presented, and then a new continuous interval Pythagorean fuzzy similarity measure is put forward.The properties of the similarity measure are also investigated.Then, based on the continuous interval Pythagorean similarity measure, two nonlinear optimization models to derive the weights of decision makers and attributes are constructed, respectively.Furthermore, a multi-attribute decision making based on the new continuous interval Pythagorean similarity measure is developed.Finally, the feasibility and effectiveness of the proposed method are verified by an example of intelligent home engineering.