scholarly journals Improved Possibility Degree Method for Intuitionistic Fuzzy Multi-Attribute Decision Making and Application in Aircraft Cockpit Display Ergonomic Evaluation

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 202540-202554
Author(s):  
Hui Liu ◽  
Jiliang Tu ◽  
Chengli Sun
Keyword(s):  
Decision Making ◽  
Cockpit Display ◽  
Intuitionistic Fuzzy ◽  
Possibility Degree ◽  
Multi Attribute Decision Making ◽  
Ergonomic Evaluation

scholarly journals Risky Multi-Attribute Decision-Making Method Based on the Interval Number of Normal Distribution

Symmetry ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 264
Author(s):  
Sha Fu ◽  
Xi-Long Qu ◽  
Ye-Zhi Xiao ◽  
Hang-Jun Zhou ◽  
Guo-Bing Fan
Keyword(s):  
Decision Making ◽  
Normal Distribution ◽  
Interval Number ◽  
Information Environment ◽  
Decision Makers ◽  
Standard Normal Distribution ◽  
Risky Decision ◽  
Possibility Degree ◽  
Standard Normal ◽  
Multi Attribute Decision Making

Focusing on risky decision-making problems taking the interval number of normal distribution as the information environment, this paper proposes a decision-making method based on the interval number of normal distribution. Firstly, the normalized matrix based on the decision maker’s attitude is obtained through analysis and calculation. Secondly, according to the existing properties of standard normal distribution, the risk preference factors of the decision makers are considered to confirm the possibility degree of each scheme. The possibility degree is then used for establishing a possibility degree matrix and, consequently, sequencing of all schemes is conducted according to existing theories of possibility degree meaning and the value size of possibility degree. Finally, the feasibility and validity of this method is verified through calculation example analysis.

A New Method for Ranking Intuitionistic Fuzzy Numbers

2011 ◽  
Vol 2 (1) ◽  
pp. 43-49 ◽  
Author(s):  
Cui-Ping Wei ◽  
Xijin Tang
Keyword(s):  
Decision Making ◽  
Fuzzy Numbers ◽  
Score Function ◽  
Ranking Method ◽  
New Method ◽  
Multi Criteria Decision Making ◽  
Intuitionistic Fuzzy Numbers ◽  
Additional Information ◽  
Intuitionistic Fuzzy ◽  
Possibility Degree

In this paper the ranking method for intuitionistic fuzzy numbers is studied. The authors first define a possibility degree formula to compare two intuitionistic fuzzy numbers. In comparison with Chen and Tan’s score function, the possibility degree formula provides additional information for the comparison of two intuitionistic fuzzy numbers. Based on the possibility degree formula, the authors give a possibility degree method to rank intuitionistic fuzzy numbers, which is used to rank the alternatives in multi-criteria decision making problems.

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