诱导型广义Pythagorean模糊Choquet积分算子及群决策应用  

Induced Generalized Pythagorean Fuzzy Choquet Integral Aggregation Operators and Applications in Group Decision Making

作　　者：李娜 高雷阜[2] 王磊[1] LI Na;GAO Lei-fu;WANG Lei(Department of Basic Teaching, Liaoning Technical University, Huludao 125105, China;College of Science, Liaoning Technical University, Fuxin 123000,China)

机构地区：[1]辽宁工程技术大学基础教学部,辽宁葫芦岛125105 [2]辽宁工程技术大学理学院,辽宁阜新123000

出　　处：《模糊系统与数学》2018年第2期65-74,共10页Fuzzy Systems and Mathematics

基　　金：高等学校博士学科点专项科研基金联合资助项目(20132121110009)

摘　　要：主要目的研究决策信息为Pythagorean模糊数,决策属性间存在相互关联的多属性群决策问题。首先,基于Pythagorean模糊数运算和Choquet积分,提出了诱导型广义Pythagorean模糊Choquet积分(I-GPFCI)算子。然后,探讨了I-GPFCI算子的相关性质及一些特例,并给出了基于I-GPFCI算子的多属性群决策方法。最后,通过算例分析说明I-GPFCI算子在群决策应用中的有效性和可行性。The main goal of this paper is to study the multi-attribute group decision making problem with correlated attribute where the attribute value is described by Pythagorean fuzzy number. Firstly, we introduce the induced generalized Pythagorean fuzzy Choquet integral operators based on Pythago- rean fuzzy number operation and Choquet integral. Secondly, we discuss some desirable properties of the proposed aggregation operators, and then we develop an approach of multi-attribute decision group making based on I-GPFCI operators. Finally, we put forward an example to demonstrate the effective- ness and feasibility of the proposed operator in the application of group decision making problems.

关 键 词：Pythagorean模糊数 CHOQUET积分 I-GPFCI算子 群决策 

分 类 号：C934[经济管理—管理学]