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

Wu, Qun; Wu, Peng; Zhou, Ligang; Chen, Huayou; Guan, Xiaohong

doi:10.1016/j.cie.2017.12.024

Cited by 98 publications

(64 citation statements)

References 70 publications

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“…Wu et al [28] proposed the use of the concept of SVN2TLSs based on the SVNSs [6] and 2-tuple linguistic term sets [29,30].…”

Section: Preliminariesmentioning

confidence: 99%

“…For convenience, Wu et al [28] called a = (s a , ρ a ), (T a , I a , F a ) a single-valued neutrosophic 2-tuple linguistic number, where T a ∈ (0, 1), I a ∈ (0, 1), F a ∈ (0, 1) 0 ≤ T a + I a + F a ≤ 3 s θ(x) ∈ S, and ρ ∈ [−0.5, 0.5).…”

Section: Definition 1 ([28]) a Svn2tls A In X Is Given As Followsmentioning

confidence: 99%

“…Even though SVNSs have been widely used in some areas, all the existing methods are unsuitable for expressing the truth-membership, indeterminacy-membership, and falsity-membership of an element to a 2-tuple linguistic term set, which can affect a decisionmaker's confidence level when they are making evaluations. In order to overcome this limit, Wu et al [28] defined the basic concept of single-valued neutrosophic 2-tuple linguistic sets (SVN2TLSs) to cope with this problem on the basis of the SVNSs [6] and 2-tuple linguistic term set [29,30]. Therefore, how to aggregate these single-valued neutrosophic 2-tuple linguistic numbers (SVN2TLNs) is an interesting issue.…”

Section: Introductionmentioning

confidence: 99%

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

Wang

Wei

et al. 2019

Mathematics

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In this article, we expand the Muirhead mean (MM) operator and dual Muirhead mean (DMM) operator with single-valued neutrosophic 2-tuple linguistic numbers (SVN2TLNs) to propose the single-valued neutrosophic 2-tuple linguistic Muirhead mean (SVN2TLMM) operator, the single-valued neutrosophic 2-tuple linguistic weighted Muirhead mean (SVN2TLWMM) operator, the single-valued neutrosophic 2-tuple linguistic dual Muirhead mean (SVN2TLDMM) operator, and the single-valued neutrosophic 2-tuple linguistic weighted dual Muirhead mean (SVN2TLWDMM) operator. Multiple attribute decision making (MADM) methods are then proposed using these operators. Finally, we utilize an applicable example for green supplier selection in green supply chain management to prove the proposed methods.

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“…Wu et al [28] proposed the use of the concept of SVN2TLSs based on the SVNSs [6] and 2-tuple linguistic term sets [29,30].…”

Section: Preliminariesmentioning

confidence: 99%

Section: Definition 1 ([28]) a Svn2tls A In X Is Given As Followsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Wang

Wei

et al. 2019

Mathematics

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“…Hamacher operations [30], which include Hamacher product and Hamacher sum, can replace the traditional algebraic product and algebraic sum, respectively. In past few years, numerous investigators studied the Hamacher aggregation operators and their applications [31][32][33][34][35][36][37][38][39][40][41]. In this paper, based on Hamacher operations, we shall develop some new operation laws of DHq-ROFNs, then, by utilizing the new operation laws, we can aggregate dual hesitant q-rung orthopair fuzzy information by Hamacher WA and Hamacher WG operator.…”

Section: Introductionmentioning

confidence: 99%

Dual Hesitant q-Rung Orthopair Fuzzy Hamacher Aggregation Operators and their Applications in Scheme Selection of Construction Project

et al. 2019

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The q-rung orthopair fuzzy set (q-ROFS), which is the extension of intuitionistic fuzzy set (IFS) and Pythagorean fuzzy set (PFS), satisfies the sum of q-th power of membership degree and nonmembership degree is limited 1. Evidently, the q-ROFS can depict more fuzzy assessment information and consider decision-maker's (DM's) hesitance. Thus, the concept of a dual hesitant q-rung orthopair fuzzy set (DHq-ROFS) is developed in this paper. Then, based on Hamacher operation laws, weighting average (WA) operator and weighting geometric (WG) operator, some dual hesitant q-rung orthopair fuzzy Hamacher aggregation operators are developed, such as the dual hesitant q-rung orthopair fuzzy Hamacher weighting average (DHq-ROFHWA) operator, the dual hesitant q-rung orthopair fuzzy Hamacher weighting geometric (DHq-ROFHWG) operator, the dual hesitant q-rung orthopair fuzzy Hamacher ordered weighted average (DHq-ROFHOWA) operator, the dual hesitant q-rung orthopair fuzzy Hamacher ordered weighting geometric (DHq-ROFHOWG) operator, the dual hesitant q-rung orthopair fuzzy Hamacher hybrid average (DHq-ROFHHA) operator, and the dual hesitant q-rung orthopair fuzzy Hamacher hybrid geometric (DHq-ROFHHG) operator. The precious merits and some particular cases of above mentioned aggregation operators are briefly introduced. In the end, an actual application for scheme selection of construction project is provided to testify the proposed operators and deliver a comparative analysis.Keywords: multiple attribute decision-making (MADM) problems; Hamacher operation laws; dual hesitant q-rung orthopair fuzzy set (DHq-ROFS); the DHq-ROFHWA operator; the DHq-ROFHWG operator Symmetry 2019, 11, 771 2 of 26 of the membership degree µ and nonmembership degree v, which satisfies µ 2 + v 2 ≤ 1, so, it is obvious that the PFS can express more assessment information than the IFS. However, the scope of assessment information is still limited under Pythagorean fuzzy environment. For instance, given the evaluation value (0.7,0.9), we can easily find that 0.7 2 + 0.9 2 ≤ 1, which indicates that PFS cannot deal with such MADM problems. Then, to describe more evaluation information, Yager [18] further defined the q-rung orthopair fuzzy set (q-ROFS), q-ROFS is also consisted of the membership degree µ and nonmembership degree v which satisfies µ q + v q ≤ 1. Obviously, q-ROFS can be regarded as the extension of the IFS and PFS, when q = 1, the q-ROFS reduces to IFS, when q = 2, the q-ROFS reduces to PFS (see Figure 1). Afterwards, more and more works about q-ROFS have been studied by numerous scholars [19][20][21][22][23][24][25].

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“…After these studies, several researchers developed different AOs, such as Liu, Chu, Li, and Chen (2014) proposed some generalized Hamacher AOs for NS and applied them to multiple-attribute group decision making (MAGDM). Wu, Wu, Zhou, Chen, & Guan, 2018) defined some AOs based on Hamacher TN and TCN and applied them to deal with group decision making under SVN 2-tuple linguistic environment. Garg (2016) developed some AOs based on Frank TN and TCN and applied them to solve MADM problems under SVN environment.…”

Section: Introductionmentioning

confidence: 99%

Multiple-attribute decision making based on single-valued neutrosophic Schweizer-Sklar prioritized aggregation operator

Лю

Khan

Mahmood

2019

Cognitive Systems Research

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Single-valued neutrosophic (SVN) sets can successfully describe the uncertainty problems, and Schweizer-Sklar (SS) t-norm (TN) and t-conorm (TCN) can build the information aggregation process more flexible by a parameter. To fully consider the advantages of SVNS and SS operations, in this article, we extend the SS TN and TCN to single-valued neutrosophic numbers (SVNN) and propose the SS operational laws for SVNNs. Then, we merge the prioritized aggregation (PRA) operator with SS operations, and develop the singlevalued neutrosophic Schweizer-Sklar prioritized weighted averaging (SVNSSPRWA) operator, single-valued neutrosophic Schweizer-Sklar prioritized ordered weighted averaging (SVNSSPROWA) operator, single-valued neutrosophic Schweizer-Sklar prioritized weighted geometric (SVNSSPRWG) operator, and single-valued neutrosophic Schweizer-Sklar prioritized ordered weighted geometric (SVNSSPROWG) operator. Moreover, we study some useful characteristics of these proposed aggregation operators (AOs) and propose two decision making models to deal with multiple-attribute decision making (MADM) problems under SVN information based on the SVNSSPRWA and SVNSSPRWG operators. Lastly, an illustrative example about talent introduction is given to testify the effectiveness of the developed methods.

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

Cited by 98 publications

References 70 publications

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

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

Dual Hesitant q-Rung Orthopair Fuzzy Hamacher Aggregation Operators and their Applications in Scheme Selection of Construction Project

Multiple-attribute decision making based on single-valued neutrosophic Schweizer-Sklar prioritized aggregation operator

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