Archimedean T-norm and T-Conorm for Interval Type-2 Fuzzy Sets

被引:27
|
作者
Liu, Chao [1 ]
Tang, Guolin [1 ]
Guo, Sandang [2 ]
机构
[1] Beijing Univ Technol, Coll Econ & Management, Beijing, Peoples R China
[2] Henan Agr Univ, Coll Informat & Management Sci, Zhengzhou, Peoples R China
基金
中国国家自然科学基金;
关键词
Interval Type-2 fuzzy sets; T-norm; T-conorm; DECISION-MAKING METHOD; LOGIC SYSTEMS; OPERATORS;
D O I
10.1145/3358505.3358514
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Interval Type-2 fuzzy sets (IT2FSs) could be regarded as a feasible tool to cope with higher uncertainty. Archimedean T-norm and T-conorm (ATT) could offer the general operational rules for IT2FSs. In this study, we firstly analyze the drawbacks of the existing operations of IT2FSs. Then, in order to overcome the drawbacks of the existing operations of IT2FSs, we develop some novel operations of IT2FSs based on ATT. Additionally, some special cases about various additive generators are explored. The developed operations of IT2FSs are essential to propose the interval type-2 fuzzy aggregation operators for the multiple criteria decision making (MCDM) within the context of IT2FSs.
引用
收藏
页码:1 / 5
页数:5
相关论文
共 50 条
  • [1] Interval-valued intuitionistic fuzzy matrix games based on Archimedean t-conorm and t-norm
    Xia, Meimei
    [J]. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2018, 47 (03) : 278 - 293
  • [2] Some issues on intuitionistic fuzzy aggregation operators based on Archimedean t-conorm and t-norm
    Xia, Meimei
    Xu, Zeshui
    Zhu, Bin
    [J]. KNOWLEDGE-BASED SYSTEMS, 2012, 31 : 78 - 88
  • [3] FUZZY GEOMETRIC PROGRAMMING BY T-NORM AND T-CONORM FUZZY RELATIONS
    Bas, Esra
    [J]. COMPUTATIONAL INTELLIGENCE: FOUNDATIONS AND APPLICATIONS: PROCEEDINGS OF THE 9TH INTERNATIONAL FLINS CONFERENCE, 2010, 4 : 236 - 242
  • [4] Some new dual hesitant fuzzy linguistic operators based on Archimedean t-norm and t-conorm
    Zhang, Nian
    Yao, Zhigang
    Zhou, Yufeng
    Wei, Guiwu
    [J]. NEURAL COMPUTING & APPLICATIONS, 2019, 31 (11): : 7017 - 7040
  • [5] On Uninorms with Strict Underlying T-norm and T-conorm
    Fodor, Janos
    De Baets, Bernard
    [J]. 2008 6TH INTERNATIONAL SYMPOSIUM ON INTELLIGENT SYSTEMS AND INFORMATICS, 2008, : 176 - +
  • [6] Group Decision Making Under Interval-Valued Multiplicative Intuitionistic Fuzzy Environment Based on Archimedean t-Conorm and t-Norm
    Yu, Dejian
    [J]. INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2015, 30 (05) : 590 - 616
  • [7] Various aggregation operators of the generalized hesitant fuzzy numbers based on Archimedean t-norm and t-conorm functions
    Harish Garg
    Abazar Keikha
    [J]. Soft Computing, 2022, 26 : 13263 - 13276
  • [8] On type-2 fuzzy sets and their t-norm operations
    Hu, Bao Qing
    Kwong, C. K.
    [J]. INFORMATION SCIENCES, 2014, 255 : 58 - 81
  • [9] Various aggregation operators of the generalized hesitant fuzzy numbers based on Archimedean t-norm and t-conorm functions
    Garg, Harish
    Keikha, Abazar
    [J]. SOFT COMPUTING, 2022, 26 (24) : 13263 - 13276
  • [10] Dual hesitant fuzzy information aggregation with Einstein t-conorm and t-norm
    Hua Zhao
    Zeshui Xu
    Shousheng Liu
    [J]. Journal of Systems Science and Systems Engineering, 2017, 26 : 240 - 264