Pythagorean trapezoidal fuzzy geometric aggregation operators based on Einstein operations and their application in group decision making

被引：14

作者：

Shakeel, M. ^{[1
]}

Abdullah, Saleem ^{[2
]}

Shahzad, M. ^{[1
]}

Amin, F. ^{[1
]}

Mahmood, T. ^{[3
]}

Amin, N. ^{[1
]}

机构：

[1] Hazara Univ, Dept Math, Mansehra Kpk, Pakistan

[2] Abdul Wali Khan Univ, Dept Math, Mardan Kpk, Pakistan

[3] Univ Engn & Technol, Dept Elect, Sub Campus Chakwal, Taxila, Pakistan

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2019年 / 36卷 / 01期

关键词：

Trapezoidal fuzzy numbers; pythagorean trapezoidal fuzzy numbers; Einstein operation; aggregation operation and group decision making; MEMBERSHIP GRADES; NUMBERS;

D O I：

10.3233/JIFS-181329

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The aim of this paper is to investigate information aggregation methods under Pythagorean trapezoidal fuzzy environment. Some Einstein operational laws on Pythagorean trapezoidal fuzzy numbers are defined based on Einstein sum and Einstein product. Based on Einstein operations we define Pythagorean trapezoidal fuzzy Einstein weighted geometric (PTFEWG) operator, Pythagorean trapezoidal fuzzy Einstein ordered weighted geometric (PTFEOWG) operator and Pythagorean trapezoidal fuzzy Einstein hybrid geometric (PTFEHG) operator. Furthermore, we apply the proposed aggregation operators to deal with multiple attribute group decision making. In the last we construct a numerical example for multiple attribute group decision making problem and compare the result with existing method.

引用

页码：309 / 324

页数：16

共 50 条

[21] Some induced generalized interval-valued Pythagorean fuzzy Einstein geometric aggregation operators and their application to group decision-making
Rahman, Khaista
Abdullah, Saleem
COMPUTATIONAL & APPLIED MATHEMATICS, 2019, 38 (03):
[22] Multiple attribute group decision-making based on generalized interval-valued Pythagorean fuzzy Einstein geometric aggregation operators
Rahman, Khaista
GRANULAR COMPUTING, 2023, 8 (02) : 1 - 18
[23] Multiple attribute group decision-making based on generalized interval-valued Pythagorean fuzzy Einstein geometric aggregation operators
Khaista Rahman
Granular Computing, 2023, 8 : 293 - 310
[24] Hybrid aggregation operators based on Pythagorean hesitant fuzzy sets and their application to group decision making
Khan, Muhammad Sajjad Ali
Abdullah, Saleem
Ali, Asad
Amin, Fazli
Rahman, Khaista
GRANULAR COMPUTING, 2019, 4 (03) : 469 - 482
[25] Hybrid aggregation operators based on Pythagorean hesitant fuzzy sets and their application to group decision making
Muhammad Sajjad Ali Khan
Saleem Abdullah
Asad Ali
Fazli Amin
Khaista Rahman
Granular Computing, 2019, 4 : 469 - 482
[26] A series of generalized induced Einstein aggregation operators and their application to group decision-making process based on Pythagorean fuzzy numbers
Rahman, Khaista
GRANULAR COMPUTING, 2021, 6 (02) : 241 - 254
[27] A series of generalized induced Einstein aggregation operators and their application to group decision-making process based on Pythagorean fuzzy numbers
Khaista Rahman
Granular Computing, 2021, 6 : 241 - 254
[28] Decision-Making Problem Based on Confidence Intuitionistic Trapezoidal Fuzzy Einstein Aggregation Operators and Their Application
Rahman, Khaista
NEW MATHEMATICS AND NATURAL COMPUTATION, 2022, 18 (01) : 219 - 250
[29] Some Interval-Valued Pythagorean Fuzzy Einstein Weighted Averaging Aggregation Operators and Their Application to Group Decision Making
Rahman, Khaista
Abdullah, Saleem
Khan, Muhammad Sajjad Ali
JOURNAL OF INTELLIGENT SYSTEMS, 2020, 29 (01) : 393 - 408
[30] Some Generalised Einstein Hybrid Aggregation Operators and Their Application to Group Decision-making Using Pythagorean Fuzzy Numbers
Rahman, K.
Abdullah, S.
Hussain, F.
FUZZY INFORMATION AND ENGINEERING, 2019, 11 (04) : 412 - 427

← 1 2 3 4 5 →