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Some Trapezoid Intuitionistic Fuzzy Linguistic Maclaurin Symmetric Mean Operators and Their Application to Multiple-Attribute Decision Making

Zheng Dong, Yushui Geng
2021 Symmetry  
In order to solve multiple-attribute group decision-making (MAGDM) problems under a trapezoid intuitionistic fuzzy linguistic (TIFL) environment and the relationships between multiple input parameters  ...  symmetric mean (TIFLGMSM) operator, trapezoid intuitionistic fuzzy linguistic weighted Maclaurin symmetric mean (TIFLWMSM) operator and trapezoid intuitionistic fuzzy linguistic weighted generalized Maclaurin  ...  Acknowledgments: We would like to thank the editor and anonymous reviewers for their valuable comments and suggestions for improving the paper.  ... 
doi:10.3390/sym13101778 fatcat:shw35xhhirdbfbzoen2garzqxy

Some Single-Valued Neutrosophic Uncertain Linguistic Maclaurin Symmetric Mean Operators and Their Application to Multiple-Attribute Decision Making

Hongbing Song, Yushui Geng
2021 Symmetry  
, such as single-valued neutrosophic uncertain linguistic Maclaurin symmetric mean(SVNULMSM) operator and single-valued neutrosophic uncertain linguistic generalized Maclaurin symmetric mean(SVNULGMSM)  ...  The Maclaurin symmetric mean (MSM) operator has a good aggregation effect.  ...  SS symmetry Article Some Single-Valued Neutrosophic Uncertain Linguistic Maclaurin Symmetric Mean Operators and Their Application to Multiple-Attribute Decision Making Hongbing Song 1 and  ... 
doi:10.3390/sym13122322 fatcat:enxjia5uufchnpfspeo6qr4aam

Interval-valued Pythagorean normal fuzzy information aggregation operators for multi-attribute decision making

Zaoli Yang, Jinping Chang
2020 IEEE Access  
Finally, a numerical example on multi-attribute decision-making problem is given to verify the practicality of the proposed operators, and the comparative and sensitive analysis are used to show the effectiveness  ...  INDEX TERMS Normal fuzzy number, interval-valued Pythagorean normal fuzzy, information aggregation operators, multi-attribute decision-making.  ...  [36] by using Maclaurin symmetric mean (MSM) operator, developed IVPF Maclaurin symmetric mean and IVPF weighted Maclaurin symmetric mean operators.  ... 
doi:10.1109/access.2020.2978976 fatcat:holgie2xnrcwrp7pgvn65yqyey

Aggregation Functions Considering Criteria Interrelationships in Fuzzy Multi-Criteria Decision Making: State-of-the-Art

LE SUN, HAI DONG, ALEX X. LIU
2019 Zenodo  
symmetric mean (MSM) operators, and introduce their extended (e.g., generalized or weighted) forms and their applications in different fuzzy sets.  ...  In addition, we compare these ve types of operators and summarize their advantages and disadvantages. Furthermore, we discuss the applications of these operators.  ...  AOs are: the fuzzy integral (Choquet and Sugeno integral) [152] , the power average (PA) [243] , the Bonferroni mean (BM) [246] , the Heronian mean (HM) [259] and the Maclaurin symmetric mean (MSM  ... 
doi:10.5281/zenodo.3047021 fatcat:vy2mllhcazfpdnbpfrmy7yqw7i

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets

Florentin Smarandache, Xiaohong Zhang, Mumtaz Ali
2019 Symmetry  
We found the edition and selections of papers for this book very inspiring and rewarding. We also thank the editorial staff and reviewers for their efforts and help during the process.  ...  The next paper [11] mainly studies multigranulation neutrosophic rough sets (MNRSs) and their applications in multi-attribute group decision-making.  ...  However, the existing exponential operations and their aggregation methods are primarily for the intuitionistic fuzzy set.  ... 
doi:10.3390/sym11020171 fatcat:be6tdw2oz5hu3gbfj3llcn4pgm

Cubic q-rung orthopair fuzzy linguistic set and their application to multi-attribute decision making with Muirhead mean operator

Harish Garg, Tahir Mahmood, Jabbar Ahmmad, Qaisar Khan, Zeeshan Ali
2020 Journal of Artificial Intelligence and Technology  
Besides, we also investigate multi attribute decision making (MADM) problems under the Cq-ROFLS environment and illustrate with a numerical examples.  ...  The basic notions of Cq-ROFLS have been introduced and study their basic operations and properties.  ...  [20] introduced some cubic fuzzy Einstein aggregation operators and also discussed its applications to the judgment process.  ... 
doi:10.37965/jait.2020.0062 fatcat:mqjlfys4mjegbpdfx6hxh4wmz4

Some Muirhead Mean Operators for Intuitionistic Fuzzy Numbers and Their Applications to Group Decision Making

Peide Liu, Dengfeng Li, Zhaohong Deng
2017 PLoS ONE  
Inspired by the MM' advantages, the aim of this paper is to extend MM to process the intuitionistic fuzzy numbers (IFNs) and then to solve the multi-attribute group decision making (MAGDM) problems.  ...  Firstly, we develop some intuitionistic fuzzy Muirhead mean (IFMM) operators by extending MM to intuitionistic fuzzy information.  ...  Acknowledgments The authors also would like to express appreciation to the anonymous reviewers and Editors for their very helpful comments that improved the paper.  ... 
doi:10.1371/journal.pone.0168767 pmid:28103244 pmcid:PMC5245779 fatcat:fkwhlnvaxbbtjfg6bkvajb6xcy

A bibliometric analysis of neutrosophic set: two decades review from 1998 to 2017

Xindong Peng, Jingguo Dai
2019 Zenodo  
It can be used to characterize the uncertain information more sufficiently and accurately than intuitionistic fuzzy set.  ...  Neutrosophic set has attracted great attention of many scholars that have been extended to new types and these extensions have been used in many areas such as aggregation operators, decision making, image  ...  fuzzy Dombi Bonferroni mean operators and applied them to multiple attribute group decision-making (MAGDM) problems with intuitionistic fuzzy information.  ... 
doi:10.5281/zenodo.3045154 fatcat:3oqxqkq6vfdxrgqc2plopxorb4

Approach to Multiple Attribute Group Decision Making Based on Hesitant Fuzzy Linguistic Aggregation Operators

Minghua Shi, Qingxian Xiao
2018 Journal of Intelligent Systems  
A new approach based on the designed operators is then proposed for hesitant fuzzy linguistic multiple attribute group decision-making problems, in which the attribute weights are known or unknown.  ...  Inspired by the nonlinear weighted average operator, this paper proposes several generalized power average operators to aggregate hesitant fuzzy linguistic decision information.  ...  Acknowledgments: The authors are thankful to the editor and the anonymous reviewers for their constructive comments and suggestions to help improve this paper.  ... 
doi:10.1515/jisys-2017-0192 fatcat:zygvk777qfbxbmt5b67dq3c53i

The Trapezoidal Fuzzy Two-Dimensional Linguistic Power Generalized Hamy Mean Operator and Its Application in Multi-Attribute Decision-Making

Liu, Li
2020 Mathematics  
Then, we extend the PGHM operator to the trapezoidal fuzzy two-dimensional linguistic environment, and propose two new information aggregation tools, the trapezoidal fuzzy two-dimensional linguistic power  ...  Furthermore, based on the proposed WTF2DLPGHM operator, a new multi-attribute decision-making method is proposed for lean management evaluation of industrial residential projects.  ...  In some decision-making scenarios, there may be relationships among multiple input elements. As a result, they cannot adapt to this decision-making situation.  ... 
doi:10.3390/math8010122 fatcat:2sq6pxyccbgh7budg2wjgk6auq

A Novel Method Based on Extended Uncertain 2-tuple Linguistic Muirhead Mean Operators to MAGDM under Uncertain 2-Tuple Linguistic Environment

Yi Liu, Jun Liu, Ya Qin, Yang Xu
2019 International Journal of Computational Intelligence Systems  
In addition, we extend UL 2-tuple -WMM operator to a new aggregation operator named extended uncertain 2-tuple linguistic weighted Muirhead mean (EUL 2-tuple -WMM) operators in order to handle some decision-making  ...  A B S T R A C T The present work is focused on multi-attribute group decision-making (MAGDM) problems with the uncertain 2-tuple linguistic information (ULI 2-tuple ) based on new aggregation operators  ...  Many extensions of MM have been developed, for example, intuitionistic fuzzy MM operators [36] , 2-tuple linguistic MM operators [37] , hesitant fuzzy Maclaurin symmetric mean (HFMSM) [3] .  ... 
doi:10.2991/ijcis.d.190315.001 fatcat:2xe4h3u4a5ex7m3zc62yprelha

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  
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  ...  imprecise estimation of reliability of the 2-tuple linguistic terms (2TLTs).  ...  supported by National Natural Science Foundation of China (Nos. 71771001, 71701001, 71301001, 71371011, 71501002, 71272047) (Nos. 201610357119, 201610357347, 201610357348, 201610357349, 201610357083), and  ... 
doi:10.5281/zenodo.3133961 fatcat:22kbge3mafc77abkqs6iqs6rlm

Neutrosophic Sets and Systems, vol. 19/2018

Florentin Smarandache, Surapati Pramanik
2018 Figshare  
in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.  ...  "Neutrosophic Sets and Systems" has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started  ...  Some Maclaurin symmetric mean operators for single-valued trapezoidal neutrosophic numbers and their applications to group decision making.  ... 
doi:10.6084/m9.figshare.6205532 fatcat:42dm4a65aza2rajo3bpdx7icca

Some Interval Neutrosophic Linguistic Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making

Yushui Geng, Xingang Wang, Xuemei Li, Kun Yu, Peide Liu
2018 Symmetry  
Based on the WINLMSM operator, we develop a multiple attribute decision making (MADM) method with INLNs and some examples are used to show the procedure and effectiveness of the proposed method.  ...  Therefore, in order to facilitate DMs to describe the MD and NMD for one LT, Liu and Chen [13] defined the linguistic intuitionistic fuzzy number (LIFN), which combined the advantages of intuitionistic  ...  If S(a) = S(b), then a ∼ b; If S(a)<(b), then a ≺ b; Some Interval Neutrosophic Linguistic MSM Operators In this section, we will propose INLMSM operators and INLGMSM operators.  ... 
doi:10.3390/sym10040127 fatcat:o5edmnspwjbrlmac44ksiblnz4

Multiple attribute group decision-making based on cubic linguistic Pythagorean fuzzy sets and power Hamy mean

Wuhuan Xu, Xiaopu Shang, Jun Wang
2021 Complex & Intelligent Systems  
values in the process of multiple attribute group decision-making (MAGDM).  ...  The CLPFSs fully adsorb the advantages of LPFSs and cubic fuzzy sets and hence they are suitable and flexible to depict attribute values in fuzzy and complicated decision-making environments.  ...  Liu and Qin [27] introduced LIF Maclaurin symmetric mean operators to deal with MAGDM, wherein attributes are interrelated under LIFSs. Liu et al.  ... 
doi:10.1007/s40747-020-00255-z fatcat:pb4koichbbhithsp5g2k6wllsi
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