A grey relational projection method for multi-attribute decision making based on intuitionistic trapezoidal fuzzy number

被引：152

作者：

Zhang, Xin ^{[1
]}

Jin, Fang ^{[1
]}

Liu, Peide ^{[1
]}

机构：

[1] Shandong Univ Finance & Econ, Sch Management Sci & Engn, Jinan 250014, Shandong, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2013年 / 37卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Multiple criteria analysis; The intuitionistic trapezoidal fuzzy number; Multiple attribute decision making; The entropy weight; The grey relational projection method; RISK; INFORMATION; SELECTION; MODELS;

D O I：

10.1016/j.apm.2012.08.012

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

With respect to multiple attribute decision making (MADM) problems in which the attribute value takes the form of intuitionistic trapezoidal fuzzy number, and the attribute weight is unknown, a new decision making analysis methods are developed. Firstly, some operational laws and expected values of intuitionistic trapezoidal fuzzy numbers, and distance between two intuitionistic trapezoidal fuzzy numbers, are introduced. Then information entropy method is used to determine the attribute weight, and the grey relational projection method combined grey relational analysis method and projection method is proposed, and to rank the alternatives are done by the relative closeness to PIS which combines grey relational projection values from the positive ideal solution and negative ideal solution to each alternative. 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：3467 / 3477

页数：11

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