Complex q‐rung orthopair fuzzy 2‐tuple linguistic Maclaurin symmetric mean operators and its application to emergency program selection

Run-zhang, Yuan; Liu, Yi; Pei, Zheng

doi:10.1002/int.22271

Cited by 61 publications

(25 citation statements)

References 58 publications

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“…These all notions are also verified with suitable examples to show that the presented approaches are extensive, reliable, and proficient techniques. In future work, we will extend these ideas into bi-polar soft sets [20], q-rung orthopair fuzzy sets [21][22][23], and complex qrung orthopair fuzzy sets [24][25][26][27][28][29] to improve the quality of the research approaches.…”

Section: Discussionmentioning

confidence: 99%

Interdependency of Complex Fuzzy Neighborhood Operators and Derived Complex Fuzzy Coverings

2021

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Complex fuzzy coverings (CFCs) are the natural mixture of the complex fuzzy sets (CFSs) and coverings, which are the modified versions of the coverings by replacing crisp sets with CFSs. This manuscript aims to explore the complex fuzzy neighborhood operators (CFNOs) by introducing the notions such as -neighborhood system (β-NO), complex fuzzy -minimal description (CF -MND), and complex fuzzy -maximal description (CF -MXD). First, we explore the complex fuzzy -covering approximation space (CF -CAS) and then we propose the above notions and investigate their properties. Additionally, we construct the CFNOs based on the complex fuzzy -coverings (CF -Cs). Finally, the CF -Cs were derived by using CFNOs, and their properties are considered. These all notions are also verified with the help of suitable examples to show that the presented approaches are extensive, reliable, and proficient techniques.

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Section: Discussionmentioning

confidence: 99%

Interdependency of Complex Fuzzy Neighborhood Operators and Derived Complex Fuzzy Coverings

2021

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“…Garg et al [ 59 ] introduced the complex interval-valued q-rung orthopair fuzzy set to better express the time-periodic problems and two-dimensional information in a single set. More related works of extension of q-ROFSs can refer to [ 60 , 61 ].…”

Section: Related Workmentioning

confidence: 99%

Multiple attribute group decision-making based on interval-valued q-rung orthopair uncertain linguistic power Muirhead mean operators and linguistic scale functions

Liu

Wang

2021

PLoS ONE

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Fuzzy set theory and its extended form have been widely used in multiple-attribute group decision-making (MAGDM) problems, among which the interval-valued q-rung orthopair fuzzy sets (IVq-ROFSs) got a lot of attention for its ability of capturing information denoted by interval values. Based on the previous studies, to find a better solution for fusing qualitative quantization information with fuzzy numbers, we propose a novel definition of interval-valued q-rung orthopair uncertain linguistic sets (IVq-ROULSs) based on the linguistic scale functions, as well as its corresponding properties, such as operational rules and the comparison method. Furthermore, we utilize the power Muirhead mean operators to construct the information fusion method, and provide a variety of aggregation operators based on the proposed information description environment. A model framework is constructed for solving the MAGDM problem utilizing the proposed method. Finally, we illustrate the performance of the new method and investigate its advantages and superiorities through comparative analysis.

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“…Muirhead Mean (MM) operator was first proposed by Muirhead (1902), which is a powerful and useful aggregation operator in information fusion. Compared with the existing commonly used operators with the same function, such as BM Gou et al (2017); Xia et al (2013) or MSM liu et al (2020; Rong et al (2020) operators, the prominent advantage of the MM is that it can consider the interrelationship among any input arguments by an alterable parameter, which can apply in different application scenarios. Moreover, BM and MSM operators are special cases of MM operators.…”

Section: Introductionmentioning

confidence: 99%

A novel picture fuzzy linguistic Muirhead Mean aggregation operators and their application to multiple attribute decision making

2021

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The Picture fuzzy linguistic set (PFLS) is an extension of the intuitionistic fuzzy set (IFS) and linguistic variables (LVs), which has been applied successfully in the process of decision making. Considering the lack of closeness of extant PFLS operations and the interrelationship among input attributes do not consider. In this paper, for the sake of addressing those limitations, we firstly redefine some novel operational laws for PFLS by introducing linguistic scale functions and the related properties are studied. Then, a novel score function and accuracy function are also defined to compare PFLSs. Subsequently, in consideration of the superiority of the Muirhead Mean (MM) operator in capturing the interaction relationship between the input parameters, we extend the MM operator to the Picture fuzzy linguistic context and then propose Picture fuzzy linguistic weighted MM operator and its dual form in a new light. After that, these operators have adopted to build two novel models to solve multiple attribute decision-making (MADM) problems. Finally, a practical example for the selection of the innovative "Mobike" sharing bike design is provided to illustrate the practicality and effectiveness of proposed approaches. KeywordsPicture fuzzy linguistic set • Muirhead Mean (MM) operator • Linguistic scale functions • Multiple attribute decision making Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

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Complex q‐rung orthopair fuzzy 2‐tuple linguistic Maclaurin symmetric mean operators and its application to emergency program selection

Cited by 61 publications

References 58 publications

Interdependency of Complex Fuzzy Neighborhood Operators and Derived Complex Fuzzy Coverings

Interdependency of Complex Fuzzy Neighborhood Operators and Derived Complex Fuzzy Coverings

Multiple attribute group decision-making based on interval-valued q-rung orthopair uncertain linguistic power Muirhead mean operators and linguistic scale functions

A novel picture fuzzy linguistic Muirhead Mean aggregation operators and their application to multiple attribute decision making

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