Multi-criteria group decision making model using single-valued neutrosophic set

Das, Suman; Das, Rakhal; Tripathy, Binod Chandra

doi:10.17270/j.log.2020.446

Cited by 15 publications

(4 citation statements)

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“…Under single valued pentapartitioned neutrosophic sets (SVPNS) environment, authors in [7] present a new similarity measure, namely tangent similarity measure, and validate the proposed SVPNS-MADM model. To select an appropriate tender for assigning the work, authors in [8] develop the multi-criteria decision-making model using a single-valued neutrosophic set.…”

Section: Related Workmentioning

confidence: 99%

A Three-Way Acceleration Approach for Interval-Valued Multi-Attribute Decision-Making Problems

Liu

Xiao

et al. 2023

Applied Sciences

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As an essential part of modern intelligent decision-making science, multi-attribute decision-making problems can effectively select and rank all candidate schemes under multiple indicators. Because of the complexity of the real environment and the uncertainty of the decision-making problem, interval numbers are often used to represent the evaluation information of the object. The existing methods of the multi-attribute decision-making problems rarely use the object set but give the decision results by selection or ranking, which often have strong subjectivity. We propose a ranking method from an acceleration viewpoint based on the three-way decision model to solve the interval-valued multi-attribute decision-making problem. A distance measure of two objects is a measure that describes the relationship between objects. Therefore, the fuzzy dominance distance is introduced to express order relations among objects. First, we present a method to compare any two interval numbers, which converts interval numbers into connection numbers according to the characteristics of interval numbers in multi-attribute decision-making problems. Second, the three-way decision theory is introduced to divide the object set into high, medium, and low dominance regions for the speed and rationality of decision-making. Finally, the multi-attribute decision-making problems can be simplified into the problem of selection in three regions by ranking the objects of the selected region. Unlike traditional methods, the experiments demonstrate that our proposed method has the lowest cost. Our method is shown to be efficient and can obtain comparable results.

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Section: Related Workmentioning

confidence: 99%

A Three-Way Acceleration Approach for Interval-Valued Multi-Attribute Decision-Making Problems

Liu

Xiao

et al. 2023

Applied Sciences

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“…. ; m, then the sample effectiveness matrix X of scheme set S to attribute set C is (Ashraf et al 2018;Das et al 2020…”

Section: Problem Descriptionmentioning

confidence: 99%

Venture capital project selection based on interval number grey target decision model

et al. 2021

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In this study, aiming at the multi-attribute decision-making problem with incomplete and uncertain attribute weight information and attribute value of interval numbers, a grey target decision-making model of interval numbers based on positive and negative clouts is proposed. Firstly, in this model, the linear transformation operator of interval number is used to normalize the original decision information, and the positive and negative clouts of interval number are designed. Secondly, after the space projection distance between each scheme and the positive and negative clouts is considered comprehensively, the off-target distance is taken as the basis of vector analysis in space to obtain a new comprehensive off-target distance. The existing interval number grey target decision-making model ignores the important influence of interval distribution and the correlation between the attributes in scheme evaluation, and there are some fuzzy errors when setting the weight of attributes. In order to solve the above problems, this paper combined with the uncertainty analysis of the attribute weights, a goal programming is constructed for the objective function based on the comprehensive off-target distance minimization to solve the attribute weight vector, and finally determine the order of the scheme. Finally, the feasibility and effectiveness of the proposed grey target decision model are verified by an example of venture capital projects. Compared with traditional models, the improved model fully considers the characteristics of interval data and the correlation between the attributes.

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“…Additionally, Wang et al [14] introduced the single-valued neutrosophic set, which is the NS's extension. It has been applied recently by a number of researchers in numerous technical and management sectors [15][16][17][18]. Furthermore, the lack of a clear definition for membership and non-membership degrees results in an inadequate representation of doubt and hesitancy in real-life situations.…”

Section: Introductionmentioning

confidence: 99%

A Systematic Formulation into Neutrosophic Z Methodologies for Symmetrical and Asymmetrical Transportation Problem Challenges

Kamran,

Abdalla,

Nadeem

et al. 2024

Symmetry

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This study formulates a multi-objective, multi-item solid transportation issue with parameters that are neutrosophic Z-number fuzzy variables such as transportation costs, supplies, and demands. This work covers two scenarios where uncertainty in the problem can arise: the fuzzy solid transportation problem and the interval solid transportation problem. The first scenario arises when we represent data problems as intervals instead of exact values, while the second scenario arises when the information is not entirely clear. We address both models when the uncertainty alone impacts the constraint set. In order to find a solution for the interval case, we generate an additional problem. Since this auxiliary problem is typical of solid transportation, we can resolve it using the effective techniques currently in use. In the fuzzy scenario, a parametric method is used to discover a fuzzy solution to the earlier issue. Parametric analysis identifies that the best parameterized approaches to complementary problems are characterized by the application of parametric analysis. We present a suggested algorithm for determining the stability set. Finally, we provide a numerical example and sensitivity analysis for the transportation problem, which is both symmetrical and asymmetrical.

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Multi-criteria group decision making model using single-valued neutrosophic set

Cited by 15 publications

References 0 publications

A Three-Way Acceleration Approach for Interval-Valued Multi-Attribute Decision-Making Problems

A Three-Way Acceleration Approach for Interval-Valued Multi-Attribute Decision-Making Problems

Venture capital project selection based on interval number grey target decision model

A Systematic Formulation into Neutrosophic Z Methodologies for Symmetrical and Asymmetrical Transportation Problem Challenges

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