Complex Fermatean fuzzy geometric aggregation operators and their application on group decision-making problem based on Einstein T-norm and T-conorm

被引：2
|
作者：
Rahman, Khaista [1 ]
Ali, Rifaqat [2 ]
Lamoudan, Tarik [2 ]
机构：
[1] Department of Mathematics, Shaheed Benazir Bhutto University Sheringal, Sheringal, Pakistan
[2] Department of Mathematics, College of Science and Arts, Muhayil, King Khalid University, Abha,61413, Saudi Arabia
来源：
Soft Computing | 2024年 / 28卷 / 17-18期
关键词：
Fuzzy logic - Fuzzy rules - Fuzzy set theory - Geometry - Higher order statistics;
D O I：
10.1007/s00500-024-09804-x
中图分类号：
学科分类号：
摘要：
Complex Fermatean fuzzy set (CFF-Sets) is one of the successful extensions of complex Pythagorean fuzzy sets (CPF-Sets). The main objective of the paper is to present complex Fermatean fuzzy sets (CFF-Sets), complex Fermatean fuzzy numbers (CFFNs) and some of their basic operational laws and their corresponding aggregation operators, which can represent the time-periodic problems and two-dimensional information in a single set. We introduce various novel operators, such as complex Fermatean fuzzy Einstein weighted geometric aggregation (CFFEWGA) operator, complex Fermatean fuzzy Einstein ordered weighted geometric aggregation (CFFEOWGA) operator, complex Fermatean fuzzy Einstein hybrid geometric aggregation (CFFEHGA) operator, induced complex Fermatean fuzzy Einstein ordered weighted geometric aggregation (I-CFFEOWGA) operator, and induced complex Fermatean fuzzy Einstein hybrid geometric aggregation (I-CFFEHGA) operator along with their structure properties, such as idempotency, boundedness and monotonicity. An illustrative example related to the selection of the more suitable location for hospital is to be considered to show the effectiveness and efficiency of the novel approach. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024.
引用
收藏
页码：9203 / 9224
页数：21
相关论文
共 50 条
  • [41] Cubic M-polar Fuzzy Hybrid Aggregation Operators with Dombi's T-norm and T-conorm with Application
    Riaz, Muhammad
    Khokhar, Muhammad Abdullah
    Pamucar, Dragan
    Aslam, Muhammad
    SYMMETRY-BASEL, 2021, 13 (04):
  • [42] Exponential operational laws and new aggregation operators of intuitionistic Fuzzy information based on Archimedean T-conorm and T-norm
    Xue Luo
    Zeshui Xu
    Xunjie Gou
    International Journal of Machine Learning and Cybernetics, 2018, 9 : 1261 - 1269
  • [43] Exponential operational laws and new aggregation operators of intuitionistic Fuzzy information based on Archimedean T-conorm and T-norm
    Luo, Xue
    Xu, Zeshui
    Gou, Xunjie
    INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2018, 9 (08) : 1261 - 1269
  • [44] Preservation of t-norm and t-conorm based properties of fuzzy relations during aggregation process
    Dudziak, Urszula
    PROCEEDINGS OF THE 8TH CONFERENCE OF THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY (EUSFLAT-13), 2013, 32 : 376 - 383
  • [45] Group Decision Making Under Interval-Valued Multiplicative Intuitionistic Fuzzy Environment Based on Archimedean t-Conorm and t-Norm
    Yu, Dejian
    INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2015, 30 (05) : 590 - 616
  • [46] Interval-valued dual hesitant fuzzy prioritized aggregation operators based on Archimedean t-conorm and t-norm and their applications to multi-criteria decision making
    Sarkar, Arun
    Biswas, Animesh
    ARCHIVES OF CONTROL SCIENCES, 2021, 31 (01): : 213 - 247
  • [47] Influence of T-norm and T-conorm Operators in Fuzzy ID3 Algorithm
    Kantarci, Suzan
    Kinay, Ayse Ovgu
    Vahaplar, Alper
    Nasibov, Efendi
    2015 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE 2015), 2015,
  • [48] Prioritization and selection of operating system by employing geometric aggregation operators based on Aczel-Alsina t-norm and t-conorm in the environment of bipolar complex fuzzy set
    Mahmood, Tahir
    Azam
    Rehman, Ubaid Ur
    Ahmmad, Jabbar
    AIMS MATHEMATICS, 2023, 8 (10): : 25220 - 25248
  • [49] Some new dual hesitant fuzzy linguistic operators based on Archimedean t-norm and t-conorm
    Zhang, Nian
    Yao, Zhigang
    Zhou, Yufeng
    Wei, Guiwu
    NEURAL COMPUTING & APPLICATIONS, 2019, 31 (11): : 7017 - 7040
  • [50] Power Aggregation Operators of Interval-Valued Atanassov-Intuitionistic Fuzzy Sets Based on Aczel–Alsina t-Norm and t-Conorm and Their Applications in Decision Making
    Xinming Shi
    Zeeshan Ali
    Tahir Mahmood
    Peide Liu
    International Journal of Computational Intelligence Systems, 16
12345