scholarly journals A New Multi-Attribute Emergency Decision-Making Algorithm Based on Intuitionistic Fuzzy Cross-Entropy and Comprehensive Grey Correlation Analysis

Entropy ◽  
2020 ◽  
Vol 22 (7) ◽  
pp. 768
Author(s):  
Ping Li ◽  
Ying Ji ◽  
Zhong Wu ◽  
Shao-Jian Qu

Intuitionistic fuzzy distance measurement is an effective method to study multi-attribute emergency decision-making (MAEDM) problems. Unfortunately, the traditional intuitionistic fuzzy distance measurement method cannot accurately reflect the difference between membership and non-membership data, where it is easy to cause information confusion. Therefore, from the intuitionistic fuzzy number (IFN), this paper constructs a decision-making model based on intuitionistic fuzzy cross-entropy and a comprehensive grey correlation analysis algorithm. For the MAEDM problems of completely unknown and partially known attribute weights, this method establishes a grey correlation analysis algorithm based on the objective evaluation value and subjective preference value of decision makers (DMs), which makes up for the shortcomings of traditional model information loss and greatly improves the accuracy of MAEDM. Finally, taking the Wenchuan Earthquake on May 12th 2008 as a case study, this paper constructs and solves the ranking problem of shelters. Through the sensitivity comparison analysis, when the grey resolution coefficient increases from 0.4 to 1.0, the ranking result of building shelters remains stable. Compared to the traditional intuitionistic fuzzy distance, this method is shown to be more reliable.

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Mei Li ◽  
Chong Wu

In the field of decision-making, for the multiple attribute decision-making problem with the partially unknown attribute weights, the evaluation information in the form of the intuitionistic fuzzy numbers, and the preference on alternatives, this paper proposes a comprehensive decision model based on the intuitionistic fuzzy cross entropy distance and the grey correlation analysis. The creative model can make up the deficiency that the traditional intuitionistic fuzzy distance measure is easy to cause the confusion of information and can improve the accuracy of distance measure; meanwhile, the grey correlation analysis method, suitable for the small sample and the poor information decision-making, is applied in the evaluation. This paper constructs a mathematical optimization model of maximizing the synthesis grey correlation coefficient between decision-making evaluation values and decision-makers’ subjective preference values, calculates the attribute weights with the known partial weight information, and then sorts the alternatives by the grey correlation coefficient values. Taking venture capital firm as an example, through the calculation and the variable disturbance, we can see that the methodology used in this paper has good stability and rationality. This research makes the decision-making process more scientific and further improves the theory of intuitionistic fuzzy multiple attribute decision-making.


2012 ◽  
Vol 204-208 ◽  
pp. 2488-2493
Author(s):  
Feng Shan Wang ◽  
Li Fa Wu ◽  
Quan Bing Rong ◽  
Hong Jun Zhang

To ravel out the difficulty in the expression and measurement of Non-subjected Information in earthquake emergency decision-making under fuzzy environmental conditions, a ranking method was put forward for earthquake emergency events on Intuitionistic Fuzzy Sets. Via the explanation about the concept of Intuitionistic Fuzzy Sets, intuitionistic fuzzy matrix and its interval estimation was established for the set of the earthquake emergency events, and the positive and negative ideal intuitionistic fuzzy earthquake emergency was determined; Through defining the distance calculation about subjected, non-subjected and hesitated degree, and respectively comparing the distance from the emergency to the positive and negative ideal event, the superiority degree model was established for the earthquake emergency events, which further gained the sequence of the emergency event collection. Case showed that model effectively solved the ranking problem about earthquake emergency events, which provided one theory and method for scientific decision-making practice in shock resistance and disaster relief.


2021 ◽  
Author(s):  
Guang-Jun Jiang ◽  
Hong-Xia Chen ◽  
Hong-Hua Sun ◽  
Mohammad Yazdi ◽  
Arman Nedjati ◽  
...  

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