Models for MADM with Single-Valued Neutrosophic 2-Tuple Linguistic Muirhead Mean Operators

Wang, Jie; Lu, Jianping; Wei, Guiwu; Lin, Rui; Wei, Cun

doi:10.3390/math7050442

Cited by 36 publications

(18 citation statements)

References 41 publications

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“…Finally, a practical example with green supplier selection is used to show the developed methods. In the future works, the extension and application with 2TPFNs needs to be investigated in the other uncertain and fuzzy domains [69][70][71][72].…”

Section: Resultsmentioning

confidence: 99%

Multiple attribute decision making based on Muirhead mean operators under 2-tuple linguistic Pythagorean fuzzy environment

et al. 2020

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In this paper, we extend the Muirhead mean (MM) operator and dual MM (DMM) operator with 2-tuple linguistic Pythagorean fuzzy numbers (2TLPFNs) to define the 2-tuple linguistic Pythagorean fuzzy MM (2TLPFMM) operator, 2-tuple linguistic Pythagorean fuzzy weighted MM (2TLPFWMM) operator, 2-tuple linguistic Pythagorean fuzzy DMM (2TLPFDMM) operator and 2-tuple linguistic Pythagorean fuzzy weighted DMM (2TLPFNWDMM) operator. Based on these proposed operators, two methods are developed to deal with the multiple attribute decision making (MADM) problems with 2TLPFNs and the validity and advantages of the proposed method are analyzed by comparison with some existing approaches. The methods proposed in this paper can effectively handle the MADM problems with 2TLPFNs. Finally, an example for green supplier selection is given to show the proposed methods.

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Section: Resultsmentioning

confidence: 99%

Multiple attribute decision making based on Muirhead mean operators under 2-tuple linguistic Pythagorean fuzzy environment

et al. 2020

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“…By the illustrated example, we have roughly shown the effects on the ranking results by changing parameters in the q‐RIVOFWMSM (q‐RIVOFWDMSM) operators. In the future, the application of the proposed fused operators of q‐RIVOFSs needs to be explored in the decision making, risk analysis and many other fields under uncertain environment …”

Section: Resultsmentioning

confidence: 99%

Some q‐rung interval‐valued orthopair fuzzy Maclaurin symmetric mean operators and their applications to multiple attribute group decision making

et al. 2019

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In this paper, according to the Maclaurin symmetric mean (MSM) operator, the dual MSM (DMSM) operator and the q-rung interval-valued orthopair fuzzy set (q-RIVOFS), we develop some novel MSM operators under the q-rung interval-valued orthopair fuzzy environment, such as, the q-rung interval-valued orthopair fuzzy MSM operator, the q-rung interval-valued orthopair fuzzy weighted MSM (q-RIVOFWMSM) operator, the q-rung interval-valued orthopair fuzzy DMSM operator, and the q-rung interval-valued orthopair fuzzy weighted DMSM operator. In addition, some precious properties and numerical examples of these new operators are given in detail. These new operators have the advantages of considering the interrelationship of arguments and can deal with multiple attribute group decision-making problems with q-rung interval-valued orthopair fuzzy information. Finally, a reality example for green suppliers selection in green supply chain management is provided to demonstrate the proposed approach and to verify its rationality and scientific. green suppliers selection, multiple attribute group decision making (MAGDM), q-RIVOFWDMSM operator, q-RIVOFWMSM operator, q-rung interval-valued orthopair fuzzy sets (q-RIVOFSs) | INTRODUCTIONIn the study of fuzzy sets (FSs) 1 fields, finding the suitable way to express evaluation information is a hot topic. Although the intuitionistic FSs (IFSs) 2-7 and Pythagorean FSs (PFSs) [8][9][10][11][12][13][14][15][16] have emerged as useful tools to deal with actual decision-making problems, however, the scope of their assessment information remains limited. Thus, to overcome this limitation, the q-rung orthopair fuzzy set (q-ROFS), 17 which is characterized by the sum of q-th power of membership and nonmembership is less or equal to 1, was proposed for MADM problems. Since that, the q-ROFS has aroused the attention of a large number of scholars since its appearance. 18-21 Based on the weighted average (WA) operator and the weighted geometric (WG) operator, [22][23][24][25][26] Liu and Wang 27 developed two q-rung orthopair fuzzy aggregation operator to fuse q-rung orthopair fuzzy numbers. Combined q-rung orthopair fuzzy information and MSM operators, Wei, Wei, Wang, Gao, and Wei 28 proposed some new q-rung orthopair fuzzy aggregation operators and studied their applications to potential evaluation of emerging technology commercialization. Liu, Wang and Liu 29 proposed some q-rung orthopair fuzzy Heronian mean operators and q-rung orthopair fuzzy partitioned Heronian mean operators for MADM, and then some special cases about these operators were discussed. Based on the cosine similarity measure and cotangent similarity measure, Wang, Wang, Wei, and Wei 30 defined some novel q-rung orthopair fuzzy cosine and cotangent similarity measures. Bai, Zhu, Wang, and Zhang 31 defined some q-rung orthopair fuzzy partitioned Maclaurin symmetric mean (MSM) operators for MADM. Xu, Shang, Wang, Wu, and Huang 32 combined the q-ROFS and the dual hesitant fuzzy set to propose the q-rung dual hesitant orthopair fuzz...

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“…Wang et al (2019h) combined the EDAS method with the 2-tuple linguistic neutrosophic set to build an extended EDAS model for MADM. Based on the single-valued neutrosophic 2-tuple linguistic set, Wang et al (2019d) proposed some Muirhead mean (MM) aggregation operators, Wu et al (2018a) defined some Hamcher aggregation operators, Ju et al (2018) extended it to interval-valued environment and developed some MSM operators. Wang et al (2018b) proposed the 2-tuple linguistic neutrosophic TODIM model.…”

Section: Related Workmentioning

confidence: 99%

CODAS Method for Multiple Attribute Group Decision Making Under 2-Tuple Linguistic Neutrosophic Environment

Wang¹,

Wang²,

Wei³

et al. 2020

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In this paper, we present the 2-tuple linguistic neutrosophic CODAS model based on the traditional fuzzy CODAS (combinative distance-based assessment) model and some fundamental theories of 2-tuple linguistic neutrosophic information. Firstly, we briefly review the definition of 2-tuple linguistic neutrosophic sets (2TLNSs) and introduce the score function, the accuracy function, operation laws and some aggregation operators of 2TLNNs. Then, the calculation steps of traditional fuzzy CODAS model are briefly presented. Furthermore, by combining the traditional fuzzy CODAS model with 2TLNNs information, the 2-tuple linguistic neutrosophic CODAS model is established and the computing steps for multiple attribute group decision making (MAGDM) are simply depicted. Our presented model is more accurate and effective for considering the combinative form of two distance measurements, including fuzzy weighted Hamming distance (HD) and fuzzy weighted Euclidean distance (ED). Finally, a numerical example for safety assessment of construction project has been given to illustrate this new model and some comparisons between 2TLNNs CODAS model and two 2TLNNs aggregation operators are also made to further illustrate the advantages of the new method.

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Models for MADM with Single-Valued Neutrosophic 2-Tuple Linguistic Muirhead Mean Operators

Cited by 36 publications

References 41 publications

Multiple attribute decision making based on Muirhead mean operators under 2-tuple linguistic Pythagorean fuzzy environment

Multiple attribute decision making based on Muirhead mean operators under 2-tuple linguistic Pythagorean fuzzy environment

Some q‐rung interval‐valued orthopair fuzzy Maclaurin symmetric mean operators and their applications to multiple attribute group decision making

CODAS Method for Multiple Attribute Group Decision Making Under 2-Tuple Linguistic Neutrosophic Environment

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