An Improved Weighted Correlation Coefficient Based on Integrated Weight for Interval Neutrosophic Sets and its Application in Multi-criteria Decision-making Problems

Zhang, Hongyu; Ji, Peng; Wang, Jianqiang; Chen, Xiaohong

doi:10.1080/18756891.2015.1099917

Cited by 104 publications

(54 citation statements)

References 75 publications

(45 reference statements)

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“…Based on the same idea, Liao et al [24] proposed several types of correlation coefficients for hesitant fuzzy linguistic term sets and then applied them to traditional medical diagnosis problems. Because of the potential application of the correlation coefficient, some other extensions are still going on-for example, dual hesitant fuzzy environments [26] and neutrosophic fuzzy environments [27][28][29] and so on.…”

Section: Introductionmentioning

confidence: 99%

Correlation Coefficients of Probabilistic Hesitant Fuzzy Elements and Their Applications to Evaluation of the Alternatives

Wang

2017

Symmetry

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Abstract:Correlation coefficient is one of the broadly use indexes in multi-criteria decision-making (MCDM) processes. However, some important issues related to correlation coefficient utilization within probabilistic hesitant fuzzy environments remain to be addressed. The purpose of this study is introduced a MCDM method based on correlation coefficients utilize probabilistic hesitant fuzzy information. First, the covariance and correlation coefficient between two PHFEs is introduced, the properties of the proposed covariance and correlation coefficient are discussed. In addition, the northwest corner rule to obtain the expected mean related to the multiply of two PHFEs is introduced. Second, the weighted correlation coefficient is proposed to make the proposed MCDM method more applicable. And the properties of the proposed weighted correlation coefficient are also discussed. Finally, an illustrative example is demonstrated the practicality and effectiveness of the proposed method. An illustrative example is presented to demonstrate the correlation coefficient propose in this paper lies in the interval [−1, 1], which not only consider the strength of relationship between the PHFEs but also whether the PHFEs are positively or negatively related. The advantage of this method is it can avoid the inconsistency of the decision-making result due to the loss of information.

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Section: Introductionmentioning

confidence: 99%

Correlation Coefficients of Probabilistic Hesitant Fuzzy Elements and Their Applications to Evaluation of the Alternatives

Wang

2017

Symmetry

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“…In order to utilize NSs easily in real-world situations, Wang et al [10] constructed the definition and some operational laws of interval neutrosophic sets (INSs). Ever since the establishment of INSs, many scholars have studied INSs from different viewpoints and obtained an increasing number of academic achievements [11][12][13][14][15][16][17][18][19][20][21]. In light of the above, M&A target selection using IN information could handle uncertain situations and indeterminate information well and provide corporate acquirers with more exemplary and flexible access to convey their understandings about the M&A knowledge base.…”

Section: Introductionmentioning

confidence: 99%

Merger and Acquisition Target Selection Based on Interval Neutrosophic Multigranulation Rough Sets over Two Universes

Zhang

Sangaiah

2017

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Abstract:As a significant business activity, merger and acquisition (M&A) generally means transactions in which the ownership of companies, other business organizations or their operating units are transferred or combined. In a typical M&A procedure, M&A target selection is an important issue that tends to exert an increasingly significant impact on different business areas. Although some research works based on fuzzy methods have been explored on this issue, they can only deal with incomplete and uncertain information, but not inconsistent and indeterminate information that exists universally in the decision making process. Additionally, it is advantageous to solve M&A problems under the group decision making context. In order to handle these difficulties in M&A target selection background, we introduce a novel rough set model by combining interval neutrosophic sets (INSs) with multigranulation rough sets over two universes, called an interval neutrosophic (IN) multigranulation rough set over two universes. Then, we discuss the definition and some fundamental properties of the proposed model. Finally, we establish decision making rules and computing approaches for the proposed model in M&A target selection background, and the effectiveness of the decision making approach is demonstrated by an illustrative case analysis.

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“…Broumi and Smarandache [24] defined the correlation coefficient of INS. Zhang et al [25] gave the correlation coefficient of interval neutrosophic numbers (INNs) in MAGDM. Zhang et al [26] gave an outranking approach for INN MAGDM.…”

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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An Improved Weighted Correlation Coefficient Based on Integrated Weight for Interval Neutrosophic Sets and its Application in Multi-criteria Decision-making Problems

Cited by 104 publications

References 75 publications

Correlation Coefficients of Probabilistic Hesitant Fuzzy Elements and Their Applications to Evaluation of the Alternatives

Correlation Coefficients of Probabilistic Hesitant Fuzzy Elements and Their Applications to Evaluation of the Alternatives

Merger and Acquisition Target Selection Based on Interval Neutrosophic Multigranulation Rough Sets over Two Universes

VIKOR Method for Interval Neutrosophic Multiple Attribute Group Decision-Making

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