Multi-attribute decision making using grey relational projection method based on interval type-2 trapezoidal fuzzy numbers

被引:16
作者
Touqeer, Muhammad [1 ]
Hafeez, Abid [1 ]
Arshad, Misbah [2 ]
机构
[1] Univ Engn & Technol, Dept Basic Sci, Taxila, Pakistan
[2] COMSATS Univ, Dept Math, Sahiwal, Pakistan
关键词
Multi-attribute decision making (MADM); interval type-2 trapezoidal fuzzy number (IT2TFN); Information Entropy method (IEM); grey relational projection method (GRPM); SELECTION; OPERATORS; MODELS; RISK; SETS;
D O I
10.3233/JIFS-179684
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Here we present a method to deal with multi-attribute decision making(MADM) problems when the attribute values are modeled in the form of interval type-2 trapezoidal fuzzy numbers (IT2FNs), and the attribute weights are completely unknown. Grey Relation Projection Method (GRPM), which is a combination of "grey relational analysis method" and the "projection method" is employed for ranking the alternatives. The linguistic information is modeled in the form of "interval type-2 trapezoidal fuzzy numbers" (IT2TFN) which are able to capture both the intra personal and inter personal uncertainties associated with a linguistic term. Information Entropy Method (IEM) is used for calculating unknown attribute weights. Lastly, an illustrative example is provided as a verification of the developed approach.
引用
收藏
页码:5979 / 5986
页数:8
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