Research on the Cross Entropy Optimization Method Evaluation Based on the Three Typical Functions

2020 ◽  
Vol 09 (01) ◽  
pp. 94-99
Author(s):  
燕 李
Keyword(s):  
Optimization Method ◽  
Cross Entropy ◽  
Method Evaluation ◽  
Entropy Optimization ◽  
The Cross

Refined first-order reliability method using cross-entropy optimization method

2018 ◽  
Vol 35 (4) ◽  
pp. 1507-1519 ◽  
Author(s):  
Hamed Ghohani Arab ◽  
Mohsen Rashki ◽  
Mehdi Rostamian ◽  
Alireza Ghavidel ◽  
Hossein Shahraki ◽  
...  
Keyword(s):  
Optimization Method ◽  
Cross Entropy ◽  
First Order Reliability Method ◽  
First Order ◽  
Entropy Optimization ◽  
Reliability Method

scholarly journals Improved Cross Entropy Measures of Single Valued Neutrosophic Sets and Interval Neutrosophic Sets and Their Multicriteria Decision Making Methods

2015 ◽  
Vol 15 (4) ◽  
pp. 13-26 ◽  
Author(s):  
Jun Ye
Keyword(s):  
Decision Making ◽  
Multicriteria Decision Making ◽  
Cross Entropy ◽  
Entropy Measure ◽  
Neutrosophic Sets ◽  
Multicriteria Decision ◽  
Entropy Measures ◽  
The Cross ◽  
Ranking Order ◽  
Interval Neutrosophic Sets

Abstract Due to some drawbacks of the cross entropy between Single Valued Neutrosophic Sets (SVNSs) in dealing with decision-making problems, the existing single valued neutrosophic cross entropy indicates an asymmetrical phenomenon or may produce an undefined (unmeaningful) phenomenon in some situations. In order to overcome these disadvantages, this paper proposes an improved cross entropy measure of SVNSs and investigates its properties, and then extends it to a cross entropy measure between interval neutrosophic sets (INSs). Furthermore, the cross entropy measures are applied to multicriteria decision making problems with single valued neutrosophic information and interval neutrosophic information. In decision making methods, through the weighted cross entropy measure between each alternative and the the ideal alternative, one can obtain the ranking order of all alternatives and the best one. The decision-making methods using the proposed cross entropy measures can efficiently deal with decision making problems with incomplete, indeterminate and inconsistent information which exist usually in real situations. Finally, two illustrative examples are provided to demonstrate the application and efficiency of the developed decision making approaches under single valued neutrosophic and interval neutrosophic environments.

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