Generalized Linguistic Ordered Weighted Hybrid Logarithm Averaging Operators and Applications to Group Decision Making

被引：27

作者：

Liu, Jinpei ^{[1
]}

Chen, Huayou ^{[2
]}

Zhou, Ligang ^{[2
]}

Tao, Zhifu ^{[2
]}

机构：

[1] Anhui Univ, Sch Business, Hefei 230601, Anhui, Peoples R China

[2] Anhui Univ, Sch Math Sci, Hefei 230601, Anhui, Peoples R China

来源：

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2015年 / 23卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Group decision making; GLOWHLA operator; GLOWLA operator; weighting vector; nonlinear goal programming; POWER AGGREGATION OPERATORS; FUZZY-LOGIC CONTROLLERS; OWA OPERATORS; PREFERENCE RELATIONS; INFORMATION; MODEL; ENVIRONMENT; FUSION; CONSENSUS;

D O I：

10.1142/S021848851550018X

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we develop the generalized linguistic weighted logarithm averaging (GLWLA) operator and the generalized linguistic ordered weighted logarithm averaging (GLOWLA) operator in the group decision making under the linguistic surrounding. Then some properties of the families of the GLOWLA operator by different weighting vector are investigated. Furthermore, we present the generalized linguistic ordered weighted hybrid logarithm averaging (GLOWHLA) operator, which extends the GLOWLA operator. We also construct a nonlinear goal programming model to determine GLOWHLA weights from observational linguistic variable values under partial weight information. Finally, a numerical example is given to illustrate the new approach to evaluating university faculty for tenure and promotion, which indicates the feasibility and effectiveness of the new approach.

引用

页码：421 / 442

页数：22

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