scholarly journals Three-Way Decisions with Single-Valued Neutrosophic Decision Theory Rough Sets Based on Grey Relational Analysis

2019 ◽  
Vol 2019 ◽  
pp. 1-12 ◽  
Author(s):  
Peide Liu ◽  
Hongyu Yang
Keyword(s):  
Decision Making ◽  
Decision Theory ◽  
Conditional Probability ◽  
Grey Relational Analysis ◽  
Neutrosophic Set ◽  
Ideal Solution ◽  
Relational Analysis ◽  
Model Based ◽  
Grey Relational ◽  
The Ideal

The single-valued neutrosophic set (SVNS) can not only depict imperfect information in the real decision system but also handle undetermined and inconformity information flexibly and effectively. Three-way decisions (3WDs) are often used as an effective method to deal with uncertainties, but the conditional probability is given by the decision maker subjectively, which makes the decision result too subjective. This paper proposes a novel model based on 3WDs to settle the multiattribute decision-making (MADM) problems, where the attribute values are described by SVNS, and the attribute weights are entirely unknown. At first, we build a single-valued neutrosophic decision theory rough set (SVNDTRS) model based on Bayesian decision process. Then, we use the analytic hierarchy process (AHP) approach to calculate the subjective weight of each attribute, the information entropy to obtain the attribute’s objective weight, and the minimum total deviation approach to determine the combined weight of the attributes. After obtaining the standard weight, the grey relational analysis (GRA) method is utilized to calculate the grey correlation closeness with the ideal solution, and the conditional probability is estimated by it. In addition, we develop a decision-making method in view of the ideal solution of 3WDs with the SVNS. This approach not only considers the lowest cost but also gives a corresponding semantic explanation for the decision result of each alternative, which can supplement the decision results of GRA. At last, we illustrate the feasibility and effectiveness of 3WDs through an example of supplier selection and compare it with other methods to verify the advantages of our approach.

A New Method of Multi-Attribute Decision-Making Based on Grey Relational Analysis with Time Series

2013 ◽  
Vol 444-445 ◽  
pp. 666-670
Author(s):  
Yi Zhang
Keyword(s):  
Decision Making ◽  
Time Series ◽  
Grey Relational Analysis ◽  
Uncertain Information ◽  
Decision Method ◽  
Rational Decision Making ◽  
Relational Analysis ◽  
Multi Attribute Decision Making ◽  
Subjective Views ◽  
Grey Relational

For the multi-attribute decision making with time series, based on the comprehensive consideration of various indicators of quality and growth degree, with grey relational analysis on less data, uncertain information can be integrated comparison, so we put forward a new decision method considering the decision maker subjective views, and provide a scientific and rational decision-making method. By the example, that method is viable.

scholarly journals A comparison of TOPSIS, grey relational analysis and COPRAS methods for machine selection problem in the food industry of Turkey

2021 ◽  
Vol 9 (2) ◽  
pp. 81
Author(s):  
Sami Özcan ◽  
Ali Kemal Çelik
Keyword(s):  
Decision Making ◽  
Grey Relational Analysis ◽  
Entropy Method ◽  
Sensitivity Analyses ◽  
Food Sector ◽  
Relational Analysis ◽  
Machine Selection ◽  
Order Preference ◽  
Topsis Technique ◽  
Grey Relational

<div data-canvas-width="540.0693333333334">The paper aims to compare the results of the selection/choice of cream separators by using multi-criteria decision-making methods in an integrated manner for an enterprise with a dairy processing capacity of 80 to 100 tons per day operating in the Turkish food sector. A total of 7 alternative products and 7 criteria for milk processing were determined. Criterion weights were calculated using entropy method and then integrated into TOPSIS (Technique for Order Preference by Similarity to Ideal Solutions), GRA (Grey Relational Analysis) and COPRAS (Complex Proportional Assessment) methods. Sensitivity analyses were carried out on the results obtained from the three methods to check for their reliability. At the end of the study, similar alternative and appropriate results were found from the TOPSIS and COPRAS methods. However, different alternative but appropriate or suitable results were obtained from the GRA method. Sensitivity analysis of the three methods showed that all the methods used were valid. In the review of available and related literature, very few studies on machine selection in the dairy and food sector in general were found. For this reason, it is thought that the study will contribute to the decision-making process of companies in the dairy sector in their choice of machinery selections. As far as is known, this paper is the first attempt in extant literature to compare in an integrated manner the results of TOPSIS, COPRAS and GRA methods considered in the study.</div>

scholarly journals Uma abordagem de decisão multi-critério para preempção de caminhos de luz em EON

2020 ◽  
Author(s):  
Alex Silva Santos ◽  
Gustavo Bittencourt Figueiredo
Keyword(s):  
Decision Making ◽  
Grey Relational Analysis ◽  
National Science Foundation ◽  
Analytical Hierarchical Process ◽  
Relational Analysis ◽  
National Science ◽  
Multi Attribute Decision Making ◽  
Grey Relational

Redes ópticas elásticas possuem a capacidade de oferecer largura próxima da solicitada pelo cliente. O que permite tal característica é a baixa granularidade dos recursos espectrais. Na degradação de serviço, requisições podem receber largura de banda menor que a solicitada. No entanto, situação onde não há opções de caminhos de luz para realizar a degradação é uma limitação para esta abordagem. Outra abordagem que pode ser adotada para liberar recursos ópticos é a realização de preempção dos caminhos de luz, os quais possuem diferentes requerimentos de qualidade de serviço (QoS). Tais parâmetros de QoS devem ser levados em consideração quando a preempção é realizada e a escolha de qual caminho de luz deve sofrer preempção se torna um problema de tomada de decisão multi-critério. Nós propomos um algoritmo que utiliza a técnica hybrid Multi-Attribute Decision Making (MADM) para realizar preempção de caminhos de luz em EON. Esta técnica é composta pelo Analytical Hierarchical Process (AHP) e Grey Relational Analysis (GRA). Simulações foram realizada na topologia de rede national science foundation network (NSFNET) para avaliar o algoritmo proposto. Os resultados mostraram que a abordagem proposta foi capaz de reduzir a probabilidade de bloqueio das classes de serviço com maior prioridade.

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