TODIM Method for Single-Valued Neutrosophic Multiple Attribute Decision Making

Xu, Dongsheng; Wei, Cun; Wei, Guiwu

doi:10.3390/info8040125

Cited by 57 publications

(39 citation statements)

References 106 publications

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“…On comparing with the existing neutrosophic decision making strategies [26][27][28][29][33][34][35][64][65][66][67][68][69], we see that the decision information used in the proposed NC-TODIM strategy is NC numbers, which comprises of interval neutrosophic information and single-valued neutrosophic information simultaneously; whereas the decision information in the existing literature is either SVNSs or INSs. Since NC numbers comprises of much more information, the NC numbers based on the TODIM strategy proposed in this paper is more elegant, typical and more general in applications, while the existing neutrosophic decision-making strategies cannot deal with the NC number decision-making problem developed in this paper.…”

Section: Comparative Analysis and Discussionmentioning

confidence: 97%

“…Ji et al [63] proposed the TODIM strategy under a multi-valued neutrosophic environment and employed it to solve personal selection problems. In 2017, Xu et al [64] developed the TODIM strategy in a single valued neutrosophic setting and extended it into interval neutrosophic setting. Neutrosophic TODIM [64] is capable of dealing with only single-valued neutrosophic information or interval neutrosophic information.…”

Section: Introductionmentioning

confidence: 99%

“…In 2017, Xu et al [64] developed the TODIM strategy in a single valued neutrosophic setting and extended it into interval neutrosophic setting. Neutrosophic TODIM [64] is capable of dealing with only single-valued neutrosophic information or interval neutrosophic information.…”

Section: Introductionmentioning

confidence: 99%

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NC-TODIM-Based MAGDM under a Neutrosophic Cubic Set Environment

Pramanik¹,

Dalapati

Alam

et al. 2017

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Abstract:A neutrosophic cubic set is the hybridization of the concept of a neutrosophic set and an interval neutrosophic set. A neutrosophic cubic set has the capacity to express the hybrid information of both the interval neutrosophic set and the single valued neutrosophic set simultaneously. As newly defined, little research on the operations and applications of neutrosophic cubic sets has been reported in the current literature. In the present paper, we propose the score and accuracy functions for neutrosophic cubic sets and prove their basic properties. We also develop a strategy for ranking of neutrosophic cubic numbers based on the score and accuracy functions. We firstly develop a TODIM (Tomada de decisao interativa e multicritévio) in the neutrosophic cubic set (NC) environment, which we call the NC-TODIM. We establish a new NC-TODIM strategy for solving multi attribute group decision making (MAGDM) in neutrosophic cubic set environment. We illustrate the proposed NC-TODIM strategy for solving a multi attribute group decision making problem to show the applicability and effectiveness of the developed strategy. We also conduct sensitivity analysis to show the impact of ranking order of the alternatives for different values of the attenuation factor of losses for multi-attribute group decision making strategies.

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Section: Comparative Analysis and Discussionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

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NC-TODIM-Based MAGDM under a Neutrosophic Cubic Set Environment

Pramanik¹,

Dalapati

Alam

et al. 2017

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“…Section 5 demonstrates the steps of the proposed method. Section 6 illustrates some examples and compares the proposed method with those existing approaches that have been presented in References [18,32,33]. Section 7 concludes this paper.…”

Section: Introductionmentioning

confidence: 99%

Improved TODIM Method Based on Linguistic Neutrosophic Numbers for Multicriteria Group Decision-Making

Лю¹,

You²

2019

IJCIS

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A B S T R A C TThe TODIM (an acronym in Portuguese for interactive multicriteria decision-making) method can consider the decisionmakers' (DMs') psychological behavior. However, the classical TODIM method has been unable to address fuzzy information such as the linguistic neutrosophic number (LNN), which is an effective tool to represent uncertainty. In this paper, an extended TODIM method is proposed to solve multicriteria group decision-making (MCGDM) problems in a linguistic neutrosophic environment. First, the definitions and characteristics of the classical TODIM and the LNNs are introduced. Then, an improved score function (SF) of LNNs is proposed. Furthermore, we obtain the combined weights of the criteria and aggregate individual decision matrices into a group decision matrix. The classical TODIM method is extended to address MCGDM problems with LNNs, and specific decision steps are provided. Finally, several examples are given to verify the effectiveness and superiority of the proposed approach by comparison with some existing methods. Rashno et al. utilized [11] NSs and graph algorithms to present a fully automated algorithm in the healthcare industry. Fan et al.proposed [12] a neutrosophic Hough transform (NHT) method to improve the track initiation monitoring capacity in an uncertain environment.In practice, people are used to giving their opinions in qualitative terms, such as "excellent, " "fair, " and "worse. " At this point, Zadeh defined [13] linguistic variables (LVs) to describe words or sentences in natural language. Since then, many studies on linguistic decision-making problems have been conducted. Wu et al. put forward [14] the maximum support degree model to guarantee the accuracy of group opinion based on linguistic distributions. Zhang et al. established [15] a new decision support model with 2-tuple linguistic terms that provided a basis for emergency decision-making. Furthermore, there are many extensions of LVs to accurately express evaluation information. Based on the FS model, Rodríguez et al. proposed [16] the concept of a hesitant fuzzy linguistic term set (HFLTS) in which a DM may hesitate among several LVs to define the TM. Analogously, Chen and Liu defined [17] the linguistic intuitionistic fuzzy numbers (LIFNs) that represent the TM and FM by LVs. However, the above linguistic forms reflect only the TM (and FM), and thus they are insufficient to accommodate uncertain and inconsistent information. Therefore, Fang and Ye introduced [18] the concept of linguistic neutrosophic numbers (LNNs) based on NS, which is characterized by describing the TM, IM, and FM of each element in a universe using three LVs.For MCGDM problems, there are two common methods to help DMs select the optimal proposal from a variety of alternatives. One method uses aggregation operators that integrate the evaluation Pdf_Folio:1

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“…Ye [33] proposed two similarity measures between INNs. The SVNS and INS have received more and more attention since their appearance [34][35][36][37][38][39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

VIKOR Method for Interval Neutrosophic Multiple Attribute Group Decision-Making

Huang

Wei

2017

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Abstract:In this paper, we will extend the VIKOR (VIsekriterijumska optimizacija i KOmpromisno Resenje) method to multiple attribute group decision-making (MAGDM) with interval neutrosophic numbers (INNs). Firstly, the basic concepts of INNs are briefly presented. The method first aggregates all individual decision-makers' assessment information based on an interval neutrosophic weighted averaging (INWA) operator, and then employs the extended classical VIKOR method to solve MAGDM problems with INNs. The validity and stability of this method are verified by example analysis and sensitivity analysis, and its superiority is illustrated by a comparison with the existing methods.

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TODIM Method for Single-Valued Neutrosophic Multiple Attribute Decision Making

Cited by 57 publications

References 106 publications

NC-TODIM-Based MAGDM under a Neutrosophic Cubic Set Environment

NC-TODIM-Based MAGDM under a Neutrosophic Cubic Set Environment

Improved TODIM Method Based on Linguistic Neutrosophic Numbers for Multicriteria Group Decision-Making

VIKOR Method for Interval Neutrosophic Multiple Attribute Group Decision-Making

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