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
收藏
页码：869 / 887
页数：19
相关论文
共 50 条
  • [21] Pythagorean cubic fuzzy aggregation operators and their application to multi-criteria decision making problems
    Khan, Faisal
    Khan, Muhammad Sajjad Ali
    Shahzad, Muhammad
    Abdullah, Saleem
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 36 (01) : 595 - 607
  • [22] Complex Spherical Dombi Fuzzy Aggregation Operators for Decision-Making
    Akram, Muhammad
    Khan, Ayesha
    Karaaslan, Faruk
    [J]. JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 2021, 37 (5-6) : 503 - 531
  • [23] Generalized complex q-rung orthopair fuzzy Einstein averaging aggregation operators and their application in multi-attribute decision making
    Liu, Peide
    Ali, Zeeshan
    Mahmood, Tahir
    [J]. COMPLEX & INTELLIGENT SYSTEMS, 2021, 7 (01) : 511 - 538
  • [24] Generalized complex q-rung orthopair fuzzy Einstein averaging aggregation operators and their application in multi-attribute decision making
    Peide Liu
    Zeeshan Ali
    Tahir Mahmood
    [J]. Complex & Intelligent Systems, 2021, 7 : 511 - 538
  • [25] Symmetric Pythagorean Fuzzy Weighted Geometric/Averaging Operators and Their Application in Multicriteria Decision-Making Problems
    Ma, Zhenming
    Xu, Zeshui
    [J]. INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2016, 31 (12) : 1198 - 1219
  • [26] Multi-criteria decision-making based on Pythagorean cubic fuzzy Einstein aggregation operators for investment management
    Al-Sabri, Esmail Hassan Abdullatif
    Rahim, Muhammad
    Amin, Fazli
    Ismail, Rashad
    Khan, Salma
    Alanzi, Agaeb Mahal
    Khalifa, Hamiden Abd El-Wahed
    [J]. AIMS MATHEMATICS, 2023, 8 (07): : 16961 - 16988
  • [27] Fermatean Fuzzy Interactive Aggregation Operators and their Application to Decision-making
    Sivadas, Aparna
    John, Sunil Jacob
    Jayaprasad, P.N.
    [J]. Engineering Letters, 2023, 31 (03) : 1025 - 1029
  • [28] Cubical fuzzy Einstein Bonferrori mean averaging aggregation operators and their applications to multiple criteria group decision making problems
    Thilagavathy, A.
    Mohanaselvi, S.
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2023, 45 (06) : 10099 - 10125
  • [29] A hybrid decision-making analysis under complex q-rung picture fuzzy Einstein averaging operators
    Muhammad Akram
    Ayesha Bashir
    S. A. Edalatpanah
    [J]. Computational and Applied Mathematics, 2021, 40
  • [30] A hybrid decision-making analysis under complex q-rung picture fuzzy Einstein averaging operators
    Akram, Muhammad
    Bashir, Ayesha
    Edalatpanah, S. A.
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (08):
12345