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：

暂无

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.

引用

页码：2867 / 2886

页数：19

共 50 条

[31] Some Frank Aggregation Operators for Interval-valued Intuitionistic Fuzzy Numbers and their Application to Group Decision Making
Liu, Peide
[J]. JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 2017, 29 (1-2) : 183 - 223
[32] Approaches to Multi-Attribute Group Decision Making Based on Induced Interval-Valued Pythagorean Fuzzy Einstein Hybrid Aggregation Operators
Khaista Rahman
Saleem Abdullah
Asad Ali
Fazli Amin
[J]. Bulletin of the Brazilian Mathematical Society, New Series, 2019, 50 : 845 - 869
[33] Approaches to Multi-Attribute Group Decision Making Based on Induced Interval-Valued Pythagorean Fuzzy Einstein Hybrid Aggregation Operators
Rahman, Khaista
Abdullah, Saleem
Ali, Asad
Amin, Fazli
[J]. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2019, 50 (04): : 845 - 869
[34] Some induced aggregation operators based on interval-valued Pythagorean fuzzy numbers
Rahman, Khaista
Abdullah, Saleem
Ali, Asad
[J]. GRANULAR COMPUTING, 2019, 4 (01) : 53 - 62
[35] Some induced aggregation operators based on interval-valued Pythagorean fuzzy numbers
Khaista Rahman
Saleem Abdullah
Asad Ali
[J]. Granular Computing, 2019, 4 : 53 - 62
[36] A weighted aggregation operators multi-attribute group decision-making method based on interval-valued trapezoidal fuzzy numbers
Liu, Peide
[J]. EXPERT SYSTEMS WITH APPLICATIONS, 2011, 38 (01) : 1053 - 1060
[37] Interval-valued trapezoidal intuitionistic fuzzy generalized aggregation operators and application to multi-attribute group decision making
Dong, J. -Y.
Wan, S. -P.
[J]. SCIENTIA IRANICA, 2015, 22 (06) : 2702 - 2715
[38] Generalised Pythagorean fuzzy geometric interactive aggregation operators using Einstein operations and their application to decision making
Garg, Harish
[J]. JOURNAL OF EXPERIMENTAL & THEORETICAL ARTIFICIAL INTELLIGENCE, 2018, 30 (06) : 763 - 794
[39] Interval-valued picture fuzzy aggregation information based on Frank operators and their application in group decision making
Abolfathi, Mohammad Ali
Ebadian, Ali
[J]. RAIRO-OPERATIONS RESEARCH, 2023, 57 (06) : 3191 - 3222
[40] Approaches to Multi-Attribute Group Decision Making Based on Induced Interval-Valued Pythagorean Fuzzy Einstein Aggregation Operator
Rahman, K.
Ali, A.
Abdullah, S.
Amin, F.
[J]. NEW MATHEMATICS AND NATURAL COMPUTATION, 2018, 14 (03) : 343 - 361

← 1 2 3 4 5 →