Complex Cubic Fuzzy Einstein Averaging Aggregation Operators: Application to Decision-making Problems

被引：4

作者：

Tanoli, Muhammad Naeem Khan ^{[1
]}

Gulistan, Muhammad ^{[1
,2
]}

Amin, Fazli ^{[1
]}

Khan, Zahid ^{[1
]}

Al-Shamiri, Mohammed M. M. ^{[3
,4
]}

机构：

[1] Hazara Univ Mansehra, Dept Math & Stat, Mansehra, Pakistan

[2] Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB, Canada

[3] King Khalid Univ, Fac Sci & Arts, Dept Math, Muhayl Asser, Abha, Saudi Arabia

[4] Ibb Univ, Fac Sci, Dept Math & Comp, Ibb, Yemen

来源：

COGNITIVE COMPUTATION | 2023年 / 15卷 / 03期

关键词：

Complex cubic fuzzy set; Aggregation operators; Einstein operations; Application; SIMILARITY MEASURES; SETS; HYPERIDEALS; EXTENSION;

D O I：

10.1007/s12559-022-10100-9

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Differentcomplex fuzzy sets are reported in the literature as the generalizations of fuzzy sets. Complex cubic fuzzy sets are also among those complex fuzzy sets, extensions of cubic sets. The main task is using complex cubic fuzzy sets in decision-making problems, and we propose some aggregation operators. We introduce the concept of complex cubic fuzzy ordered and hybrid weighted averaging operators using Einstein's sum, product, scalar, and exponential multiplication. We discuss some algebraic operations of complex cubic fuzzy sets (CCFS) and their structural properties. We develop three arithmetic averaging operators: complex cubic fuzzy Einstein weighted averaging (CCFEWA), complex cubic fuzzy Einstein ordered weighted averaging (CCFEOWA), and complex cubic fuzzy Einstein hybrid weighted averaging (CCFEHWA) operators. The CCFEHWA operator generalizes both the CCFEWA and CCFEOWA operators. We apply the CCFEHWA operator to multiple attribute decision-making with complex cubic fuzzy data. In the end, we discuss a numerical example with comparative analysis.

引用

页码：869 / 887

页数：19

共 50 条

[1] Complex Cubic Fuzzy Einstein Averaging Aggregation Operators: Application to Decision-making Problems
Muhammad Naeem Khan Tanoli
Muhammad Gulistan
Fazli Amin
Zahid Khan
Mohammed M. Al-Shamiri
[J]. Cognitive Computation, 2023, 15 : 869 - 887
[2] Cubic fuzzy Einstein aggregation operators and its application to decision-making
Fahmi, Aliya
Amin, Fazli
Abdullah, Saleem
Ali, Asad
[J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2018, 49 (11) : 2385 - 2397
[3] Cubic linguistic uncertain Einstein averaging operators and decision-making problems
Fahmi, Aliya
Aslam, Muhammad
[J]. SOFT COMPUTING, 2021, 25 (11) : 7231 - 7246
[4] Cubic linguistic uncertain Einstein averaging operators and decision-making problems
Aliya Fahmi
Muhammad Aslam
[J]. Soft Computing, 2021, 25 : 7231 - 7246
[5] Fermatean Cubic Fuzzy Aggregation Operators and Their Application in Multiattribute Decision-Making Problems
Riaz, Muhammad
Zeb, Aurang
Ali, Fawad
Naeem, Muhammad
Arjika, Sama
[J]. JOURNAL OF FUNCTION SPACES, 2022, 2022
[6] Cubic bipolar fuzzy Dombi averaging aggregation operators with application to multi-criteria decision-making
Riaz, Muhammad
Habib, Anam
Aslam, Muhammad
[J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2021, 41 (02) : 3373 - 3393
[7] Complex Cubic Fuzzy Aggregation Operators With Applications in Group Decision-Making
Zhou, Xiaoqiang
Deng, Yameng
Huang, Zichang
Yan, Feng
Li, Wu
[J]. IEEE ACCESS, 2020, 8 : 223869 - 223888
[8] Trapezoidal cubic hesitant fuzzy aggregation operators and their application in group decision-making
Fahmi, A.
Abdullah, S.
Amin, F.
Ali, A.
Ahmad, R.
Shakeel, M.
[J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 36 (04) : 3619 - 3635
[9] Generalized Cubic Pythagorean Fuzzy Aggregation Operators and their Application to Multi-attribute Decision-Making Problems
Fazli Amin
Muhammad Rahim
Asad Ali
Eskandar Ameer
[J]. International Journal of Computational Intelligence Systems, 15
[10] Confidence level based complex polytopic fuzzy Einstein aggregation operators and their application to decision-making process
Rahman, Khaista
Khishe, Mohammad
[J]. SCIENTIFIC REPORTS, 2024, 14 (01):

← 1 2 3 4 5 →