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Operations on Hesitant Linguistic terms sets Induced By Archimedean Triangular Norms And Conorms

Zhaoyan Li, Chenfang Zhao, Zheng Pei
2018 International Journal of Computational Intelligence Systems  
The aim of the paper is to discuss some new operations on hesitant fuzzy linguistic terms sets based on Archimedean t-norm and t-conorm.  ...  The advantage is that the operations on hesitant fuzzy linguistic terms sets are closed, by studying propositions of the operations on hesitant fuzzy linguistic terms sets, scalar-multiplication addition  ...  This work is partially supported by National Nature Science Foundation of China (Grant No. 61372187) and the fund of lab of Security Insurance of Cyberspace, Sichuan Province (SZJJ2016-038) and Sichuan  ... 
doi:10.2991/ijcis.11.1.38 fatcat:layw6l4fwrhmxixsnvjiwrd2y4

Hesitant Picture 2-Tuple Linguistic Aggregation Operators Based on Archimedean T-Norm and T-Conorm and Their Use in Decision-Making

Yanjun Wang, Lidong Wang, Huijuan Wang, Xinghua Feng
2018 Symmetry  
Some operational principles of hesitant picture 2-tuple linguistic variables on account of the Archimedean t-norm and t-conorm are initiated, on which two hesitant picture 2-tuple linguistic weighted operators  ...  Furthermore, these aggregation operators are employed to design a method of deriving an overall performance from evaluation of experts with hesitant picture 2-tuple linguistic terms.  ...  2 N(b) . (5) Operational Laws of Hesitant Picture 2-Tuple Linguistic Sets Archimedean t-norm and t-conorm emerge as the extended forms of binary operations that can induce some aggregation operators  ... 
doi:10.3390/sym10110629 fatcat:4ukqetuk4zhm7aeg3l36k2pmse

Multicriteria Decision Making Based on Archimedean Bonferroni Mean Operators of Hesitant Fermatean 2-Tuple Linguistic Terms

Huijuan Wang, Xin Wang, Lidong Wang
2019 Complexity  
The Archimedean t-norm and s-norm- (ATS-) based hesitant Fermatean 2-tuple linguistic weighted Bonferroni mean (A-HF2TLWBM) operator and the ATS-based hesitant Fermatean 2-tuple linguistic weighted geometric  ...  First, the concept of hesitant Fermatean 2-tuple linguistic sets (HF2TLSs) is introduced for characterizing an individual's imprecision preferences and assessing information by combining 2-tuple linguistic  ...  [40] proposed some new operational laws of 2-tuples based on ATS and gave some aggregation operators using the proposed rules.  ... 
doi:10.1155/2019/5705907 fatcat:2dwi4c34sbdb7fcbswxphyfu6e

A DEMATEL-Based Method for Linguistic Multiple Attributes Group Decision Making Using Strict t-Norms and t-Conorms

Lijuan Yao, Zhihong Yi
2022 Systems  
In this paper, some new operation laws for continuous linguistic terms using strict t-norms and t-conorms are defined.  ...  On the basis of these new linguistic operation laws, a series of triangular t-(co)norm-based linguistic generalized power geometric operators are developed.  ...  Acknowledgments: The authors are very grateful to Shuping Wan in Jiangxi University of Finance and Economics for his valuable suggestions on the preparation of the manuscript.  ... 
doi:10.3390/systems10040098 fatcat:jcxy6nogpzgnzbnw2pus5rd64m

Some new Hamacher aggregation operators under single-valued neutrosophic 2-tuple linguistic environment and their applications to multiattribute group decision making

Qun Wu, Peng Wu, Ligang Zhou, Huayou Chen, Xianjun Guan
2019 Zenodo  
imprecise estimation of reliability of the 2-tuple linguistic terms (2TLTs).  ...  This paper proposes an approach to linguistic multiple attribute group decision making (MAGDM) problem with single-valued neutrosophic 2-tuple linguistic (SVN2TL) assessment information by adding a subjective  ...  , 201610357349, 201610357083), and the Doctoral Scientific Research Foundation of Anhui University.  ... 
doi:10.5281/zenodo.3133961 fatcat:22kbge3mafc77abkqs6iqs6rlm

Novel Hesitant Fuzzy Linguistic Multi-Attribute Group Decision Making Method Based on Improved Supplementary Regulation and Operational Laws

Peng Xiao, Qun Wu, Hongyan Li, Ligang Zhou, Zhifu Tao, Jinpei Liu
2019 IEEE Access  
The aim of this paper is to develop some novel operational laws for a hesitant fuzzy linguistic term set (HFLTS)-based on the improved supplementary regulation and Archimedean t-norms and s-norms.  ...  As a hot and key research topic for information fusion, some Archimedean t-norms and s-norms based hesitant fuzzy linguistic aggregation operators are proposed to aggregate HFLTSs.  ...  When λ → 0, we form the Archimedean t-norm and s-norm-based hesitant fuzzy linguistic weighted power geometric averaging (ATS-HFLWPGA) operator.  ... 
doi:10.1109/access.2019.2902167 fatcat:gpvmenogdzbtlk4z5ucc5722vu

Generalized Hamacher Aggregation Operators for Intuitionistic Uncertain Linguistic Sets: Multiple Attribute Group Decision Making Methods

Jin, Wu, Merigó, Peng
2019 Information  
Based on Hamacher operations, we developed several Hamacher aggregation operators, which generalize the arithmetic aggregation operators and geometric aggregation operators, and extend the algebraic aggregation  ...  Based on the generalized Hamacher aggregation operator, we propose a method for MAGDM for intuitionistic uncertain linguistic sets.  ...  Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/info10060206 fatcat:62oiihnk4vhnxmwiksx6j6udc4

Multiattribute Decision-Making Method with Intuitionistic Fuzzy Archimedean Bonferroni Means

Hengzhi Zhao
2021 Mathematical Problems in Engineering  
In this work, the intuitionistic fuzzy (IF) BMs on the basis of the Archimedean norm are investigated, including the Archimedean norm-based IF arithmetic BM (AN-IFABM) and the Archimedean norm-based IF  ...  The Bonferroni mean (BM) can portray the inter-relationships among the arguments, which is based on algebraic norm. Archimedean norm is the generalization of algebraic norm.  ...  Intuitionistic Fuzzy Operational Laws Based on Archimedean Norm Definition 3 (see [40] ).  ... 
doi:10.1155/2021/5559270 doaj:3c2064af22a54c3da5e0342f71cdfbc7 fatcat:ma6x2ifynnarbfxxwnqze6dz3e

Analysis of Decision Support System Based on 2-Tuple Spherical Fuzzy Linguistic Aggregation Information

Saleem Abdullah, Omar Barukab, Muhammad Qiyas, Muhammad Arif, Sher Afzal Khan
2019 Applied Sciences  
At that point, we have used these operators to design a model to deal with multiple attribute decision-making issues under the 2-tuple spherical fuzzy linguistic information.  ...  The aim of this paper is to propose the 2-tuple spherical fuzzy linguistic aggregation operators and a decision-making approach to deal with uncertainties in the form of 2-tuple spherical fuzzy linguistic  ...  All authors have read and agreed to the published version of the manuscript. Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/app10010276 fatcat:kyfxfmn5nzarlkdevslkvxuoyu

Interval-Valued q-rung Orthopair 2-Tuple Linguistic Aggregation Operators and their applications to Decision Making Process

Lei Wang, Harish Garg, Na Li
2019 IEEE Access  
The objective of this manuscript is to present the concept of interval-valued q-rung orthopair 2-tuple linguistic set (IVq-RO2TLSs) and their basic operations.  ...  Secondly, based on the operational laws, we develop some weighted averaging and geometric aggregation operators for IVq-RO2TLSs and characterize their desirable properties.  ...  Merigo and Gil-Lafuente [43] proposed the induced 2-tuple linguistic generalized aggregation operators to handle MADM problem. Based on Archimedean t-norm and s-norm, Tao et al.  ... 
doi:10.1109/access.2019.2938706 fatcat:pwbnrkcsojgujm5rjdiivv37qu

Some Novel Picture 2-Tuple Linguistic Maclaurin Symmetric Mean Operators and Their Application to Multiple Attribute Decision Making

Min Feng, Yushui Geng
2019 Symmetry  
In addition, Archimedean t-conorm and t-norm (ATT) can generalize most existing t-conorms and t-norms and Maclaurin symmetric mean (MSM) operators can catch the relationships among the multi-input parameters  ...  Therefore, we investigate several novel aggregation operators, such as the picture 2-tuple linguistic MSM (2TLMSM) operator based on the ATT (ATT-P2TLMSM) and the picture 2-tuple linguistic generalized  ...  New Operations for Picture 2-Tuple Linguistic Sets Based on ATT In this section, inspired by the new operational laws of 2-tuple linguistic and picture fuzzy linguistic sets, we introduce the operational  ... 
doi:10.3390/sym11070943 fatcat:oufy6mi4vbgdrkx4wojb2sgxtm

Multi-Attribute Decision-Making Method Based on Interval-valued q-Rung Orthopair Fuzzy Archimedean Muirhead Mean Operators

Hengxia Gao, Yanbing Ju, Wenkai Zhang, Daiwei Ju
2019 IEEE Access  
Archimedean t-conorm and t-norm (ATT) consist of t-conorm and t-norm families, which is an important tool for fuzzy sets to generate general operational laws.  ...  INDEX TERMS Archimedean t-conorm and t-norm, interval-valued q-rung orthopair fuzzy sets, multiattribute decision-making (MADM), muirhead mean, Q-rung orthopair fuzzy sets. 74300 2169-3536  ...  OPERATIONAL RULES OF IVQ-POFNS BASED ON T-NORM AND T-CONORM In what follows, we will give the operational rules of IVq-ROFNs on the basis of the TN T (u, v) and TC T * (u, v).  ... 
doi:10.1109/access.2019.2918779 fatcat:aw6aclrpavblfh2e67jowuxvtu

Multiattribute group decision-making approach with linguistic Pythagorean fuzzy information

Y. Liu, Y. Qin, L. Xu, H. B. Liu, J. Liu
2019 IEEE Access  
In addition, we introduce the new version of t-norms (TNs) and t-conorms (TCs) named linguistic Pythagorean t-norms (LPTNs) and linguistic Pythagorean t-conorms (LPTCs), which can be used to handle the  ...  INDEX TERMS Linguistic Pythagorean fuzzy set (LPFS), Linguistic Pythagorean t-norms (LPTNs), linguistic Pythagorean t-conorms (LPTCs), generalized linguistic Pythagorean aggregation operators, generalized  ...  Of course, the most important aspect of aggregation operators is to build operational laws which is on the basis of t-norms (TNs) and t-conorms (TCs).  ... 
doi:10.1109/access.2019.2945005 fatcat:42k2jyncafhxdbat475hq72czu

Interval-valued Pythagorean Fuzzy Frank Power Aggregation Operators based on An Isomorphic Frank Dual Triple

Yi Yang, Zhen-Song Chen, Yue-Hua Chen, Kwai-Sang Chin
2018 International Journal of Computational Intelligence Systems  
Second, two IVPFFP aggregation operators with the inclusion of an adjustable parameter are defined on the basis of the proposed operational laws, and several instrumental properties are then investigated  ...  operational laws.  ...  Then, this new dual triple can be used to define the Frank operations on IVPFSs.  ... 
doi:10.2991/ijcis.11.1.83 fatcat:ug2ejorthjg2zgjt6vqc3oca7y

Distributed Linguistic Representations in Decision Making: Taxonomy, Key Elements and Applications, and Challenges in Data Science and Explainable Artificial Intelligence [article]

Yuzhu Wu, Zhen Zhang, Gang Kou, Hengjie Zhang, Xiangrui Chao, Cong-Cong Li, Yucheng Dong, Francisco Herrera
2020 arXiv   pre-print
Distributed linguistic representations are powerful tools for modelling the uncertainty and complexity of preference information in linguistic decision making.  ...  Next, we provide a discussion on ongoing challenges and future research directions from the perspective of data science and explainable artificial intelligence.  ...  This work was supported by the grants (Nos. 71971039, 71421001, 71910107002, 71771037, 71874023, and 71871149) from NSF of China, and the grants (Nos. sksyl201705 and 2018hhs-58) from Sichuan University  ... 
arXiv:2008.01499v2 fatcat:ivmvmoqjyrgdvmigbjz5ilgbbe
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