• 论文 •

### 犹豫模糊语言幂均算子及其在群决策中的应用

1. 1.扬州大学数学科学学院, 扬州 225002;2.山东省泰安第十九中学,泰安 271001
• 出版日期:2016-08-25 发布日期:2016-09-26

WEI Cuiping,GE Shuna. A POWER AVERAGE OPERATOR FOR HESITANT FUZZY LINGUISTIC TERM SETS AND ITS APPLICATION IN GROUP DECISION-MAKING[J]. Journal of Systems Science and Mathematical Sciences, 2016, 36(8): 1308-1317.

### A POWER AVERAGE OPERATOR FOR HESITANT FUZZY LINGUISTIC TERM SETS AND ITS APPLICATION IN GROUP DECISION-MAKING

WEI Cuiping 1, GE Shuna2

1. 1.College of Mathematical Sciences, Yangzhou University,Yangzhou  225002;2.Taian No. 19 Middle school,Taian 271001
• Online:2016-08-25 Published:2016-09-26

Hesitant fuzzy linguistic term sets are suitable to deal with the situations where people have hesitancy in providing their linguistic assessments. An approach based on a power average operator for hesitant fuzzy linguistic term set is proposed for multi-attribute decision-making problems, in which the expert’s weights are unknown. We first introduce the notion of hesitant fuzzy virtual term sets, define a distance measure and a power average operator for hesitant fuzzy virtual term sets. Based on the operator, we give a method to solve the group decision-making problem with mutual support hesitant fuzzy linguistic information. By the method, the linguistic assessments offered by experts are transformed into hesitant fuzzy virtual term sets; then, the power average operator for hesitant fuzzy virtual term sets is used to get the group decision-making matrix and the TOPSIS method is applied for the ranking of alternatives. Finally, an illustrative example is given to demonstrate the practically and effectiveness of the proposed method.

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