Evaluating Investment Risks of Metallic Mines Using an Extended TOPSIS Method with Linguistic Neutrosophic Numbers

Liang, Weizhang; Zhao, Guoyan; Wu, Hao

doi:10.3390/sym9080149

Cited by 45 publications

(56 citation statements)

References 49 publications

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“…Definition 6. [32] Let X be the universe of discourse, where X = {x 1 , x 2 , ⋯ , x n }, and let M and N be two LNSs…”

Section: Linguistic Neutrosophic Numbersmentioning

confidence: 99%

“…In this section, we will first illustrate the procedure of the proposed MCGDM method by a specific example [32]. Then, we present some examples to demonstrate the effectiveness and superiority of the proposed MCGDM method by comparison with the existing MCGDM methods [18,32,33]. Case 1: the decision-making steps of the proposed method with the combined weights of the criteria is as follows:…”

Section: Application Examplementioning

confidence: 99%

“…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%

See 2 more Smart Citations

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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“…Definition 6. [32] Let X be the universe of discourse, where X = {x 1 , x 2 , ⋯ , x n }, and let M and N be two LNSs…”

Section: Linguistic Neutrosophic Numbersmentioning

confidence: 99%

Section: Application Examplementioning

confidence: 99%

See 1 more Smart Citation

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

Лю¹,

You²

2019

IJCIS

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show abstract

“…Equation (25) can be more discordant than Equation (26). In the proposed new hybrid GRA, IF-ELECTRE and VIKOR model with assessment data, the relative value of CS could be taken through the concordance index.…”

Section: Ranking Of Alternatives By the Modelmentioning

confidence: 99%

“…Therefore, various types of membership functions by concentrating on ambiguous components have been applied in solving engineering and management problems [25][26][27][28][29][30]. The IFSs propose a generalization of fuzzy sets theory [31,32].…”

Section: Introductionmentioning

confidence: 99%

A New Group Decision Model Based on Grey-Intuitionistic Fuzzy-ELECTRE and VIKOR for Contractor Assessment Problem

et al. 2018

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This study introduces a new decision model with multi-criteria analysis by a group of decision makers (DMs) with intuitionistic fuzzy sets (IFSs). The presented model depends on a new integration of IFSs theory, ELECTRE and VIKOR along with grey relational analysis (GRA). To portray uncertain real-life situations and take account of complex decision problem, multi-criteria group decision-making (MCGDM) model by totally unknown importance are introduced with IF-setting. Hence, a weighting method depended on Entropy and IFSs, is developed to present the weights of DMs and evaluation factors. A new ranking approach is provided for prioritizing the alternatives. To indicate the applicability of the presented new decision model, an industrial application for assessing contractors in the construction industry is given and discussed from the recent literature.

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Parametric Similarity Measures on Linguistic Single-Valued Neutrosophic Sets with Application to Decision-Making Problems

nancy

2019

Advances in Intelligent Systems and Computing

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Evaluating Investment Risks of Metallic Mines Using an Extended TOPSIS Method with Linguistic Neutrosophic Numbers

Cited by 45 publications

References 49 publications

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

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

A New Group Decision Model Based on Grey-Intuitionistic Fuzzy-ELECTRE and VIKOR for Contractor Assessment Problem

Parametric Similarity Measures on Linguistic Single-Valued Neutrosophic Sets with Application to Decision-Making Problems

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