Geometric aggregation operators with interval-valued Pythagorean trapezoidal fuzzy numbers based on Einstein operations and their application in group decision making

被引：0
|
作者：
M. Shakeel
S. Abdullah
M. Shahzad
Nasir Siddiqui
机构：
[1] Hazara University Mansehra Kpk,Department of Mathematics
[2] Abdul Wali Khan University Mardan Kpk,Department of Mathematics
[3] University of Engineering and Technology Taxila,Department of Mathematics
来源：
International Journal of Machine Learning and Cybernetics | 2019年 / 10卷
关键词：
Multiple attribute group decision making; Aggregation operations; Interval-valued Pythagorean trapezoidal fuzzy numbers; Einstein operation;
D O I：
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中图分类号：
学科分类号：
摘要：
The aim of this paper is to investigate information aggregation methods under interval-valued Pythagorean trapezoidal fuzzy environment. Some Einstein operational laws on interval-valued Pythagorean trapezoidal fuzzy numbers are defined based on Einstein sum and Einstein product. Based on Einstein operations, we define interval-valued Pythagorean trapezoidal fuzzy aggregation operators, such as interval-valued Pythagorean trapezoidal fuzzy Einstein weighted geometric operator, interval-valued Pythagorean trapezoidal fuzzy Einstein ordered weighted geometric operator and interval-valued Pythagorean trapezoidal fuzzy Einstein hybrid geometric operator. Furthermore, we apply the proposed aggregation operators to deal with multiple attribute group decision making problem. Finally we construct a numerical example for multiple attribute group decision making problem and compare the result with existing methods.
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页码：2867 / 2886
页数：19
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