Same families of geometric aggregation operators with intuitionistic trapezoidal fuzzy numbers

被引：105

作者：

Wu, Jian ^{[1
]}

Cao, Qing-wei ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Sch Econ & Management, Box 62 & YingBinDaDao 688, Jinhua 321004, Zhejiang, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2013年 / 37卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Group decision making; Multiple attribute decision making; Intuitionistic trapezoidal fuzzy numbers; Aggregation operation; DECISION-MAKING METHOD; SETS; MULTIPERSON; WEIGHTS;

D O I：

10.1016/j.apm.2012.03.001

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The aim of this work is to present some cases of aggregation operators with intuitionistic trapezoidal fuzzy numbers and study their desirable properties. First, some operational laws of intuitionistic trapezoidal fuzzy numbers are introduced. Next, based on these operational laws, we develop some geometric aggregation operators for aggregating intuitionistic trapezoidal fuzzy numbers. In particular, we present the intuitionistic trapezoidal fuzzy weighted geometric (ITFWG) operator, the intuitionistic trapezoidal fuzzy ordered weighted geometric (ITFOWG) operator, the induced intuitionistic trapezoidal fuzzy ordered weighted geometric (I-ITFOWG) operator and the intuitionistic trapezoidal fuzzy hybrid geometric (ITFHG) operator. It is worth noting that the aggregated value by using these operators is also an intuitionistic trapezoidal fuzzy value. Then, an approach to multiple attribute group decision making (MAGDM) problems with intuitionistic trapezoidal fuzzy information is developed based on the ITFWG and the ITFHG operators. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness. (c) 2012 Elsevier Inc. All rights reserved.

引用

页码：318 / 327

页数：10

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