A new probability transformation method based on a correlation coefficient of belief functions

2019 ◽  
Vol 34 (6) ◽  
pp. 1337-1347 ◽  
Author(s):  
Wen Jiang ◽  
Chan Huang ◽  
Xinyang Deng
Keyword(s):  
Correlation Coefficient ◽  
Transformation Method ◽  
Belief Functions ◽  
Probability Transformation

scholarly journals Decision making with consonant belief functions: Discrepancy resulting with the probability transformation method used

2014 ◽  
Vol 24 (3) ◽  
pp. 359-370 ◽  
Author(s):  
Esma Cinicioglu
Keyword(s):  
Decision Making ◽  
Probability Distributions ◽  
Belief Function ◽  
Transformation Method ◽  
Research Society ◽  
Belief Functions ◽  
Belief Function Theory ◽  
Probability Transformation ◽  
Theory Of Belief Functions ◽  
Transformation Methods

Dempster?Shafer belief function theory can address a wider class of uncertainty than the standard probability theory does, and this fact appeals the researchers in operations research society for potential application areas. However, the lack of a decision theory of belief functions gives rise to the need to use the probability transformation methods for decision making. For representation of statistical evidence, the class of consonant belief functions is used which is not closed under Dempster?s rule of combination but is closed under Walley?s rule of combination. In this research, it is shown that the outcomes obtained using both Dempster?s and Walley?s rules do result in different probability distributions when pignistic transformation is used. However, when plausibility transformation is used, they do result in the same probability distribution. This result shows that the choice of the combination rule and probability transformation method may have a significant effect on decision making since it may change the choice of the decision alternative selected. This result is illustrated via an example of missile type identification.

A probability transformation method (PTM) for the dynamic stochastic response of structures with non-Gaussian excitations

2018 ◽  
Vol 35 (5) ◽  
pp. 1978-1997 ◽  
Author(s):  
Giovanni Falsone ◽  
Rossella Laudani
Keyword(s):  
Design Methodology ◽  
Fundamental Property ◽  
Transformation Method ◽  
Computational Effort ◽  
Content Type ◽  
Probabilistic Characterization ◽  
Probability Transformation ◽  
Dynamic Stochastic ◽  
Non Gaussian

Purpose This paper aims to present an approach for the probabilistic characterization of the response of linear structural systems subjected to random time-dependent non-Gaussian actions. Design/methodology/approach Its fundamental property is working directly on the probability density functions of the actions and responses. This avoids passing through the evaluation of the response statistical moments or cumulants, reducing the computational effort in a consistent measure. Findings It is an efficient method, for both its computational effort and its accuracy, above all when the input and output processes are strongly non-Gaussian. Originality/value This approach can be considered as a dynamic generalization of the probability transformation method recently used for static applications.

scholarly journals Correlation coefficients of credibility interval-valued neutrosophic sets and their group decision-making method in single- and interval-valued hybrid neutrosophic multi-valued environment

2021 ◽  
Author(s):  
Jun Ye ◽  
Shigui Du ◽  
Rui Yong
Keyword(s):  
Decision Making ◽  
Correlation Coefficient ◽  
Group Decision Making ◽  
Group Decision ◽  
Correlation Coefficients ◽  
Transformation Method ◽  
Neutrosophic Sets ◽  
Magdm Problems ◽  
Interval Valued ◽  
Weighted Correlation

AbstractAlthough a single-valued neutrosophic multi-valued set (SVNMVS) can reasonably and perfectly express group evaluation information and make up for the flaw of multi-valued/hesitant neutrosophic sets in group decision-making problems, its information expression and group decision-making methods still lack the ability to express and process single- and interval-valued hybrid neutrosophic multi-valued information. To overcome the drawbacks, this study needs to propose single- and interval-valued hybrid neutrosophic multi-valued sets (SIVHNMVSs), correlation coefficients of consistency interval-valued neutrosophic sets (CIVNSs), and their multi-attribute group decision-making (MAGDM) method in the setting of SIVHNMVSs. First, we propose SIVHNMVSs and a transformation method for converting SIVHNMVSs into CIVNSs based on the mean and consistency degree (the complement of standard deviation) of truth, falsity and indeterminacy sequences. Then, we present two correlation coefficients between CIVNSs based on the multiplication of both the correlation coefficient of interval-valued neutrosophic sets and the correlation coefficient of neutrosophic consistency sets and two weighted correlation coefficients of CIVNSs. Next, a MAGDM method is developed based on the proposed two weighted correlation coefficients of CIVNSs for performing MAGDM problems under the environment of SIVHNMVSs. At last, a selection case of landslide treatment schemes demonstrates the application of the proposed MAGDM method under the environment of SIVHNMVSs. By comparative analysis, our new method not only overcomes the drawbacks of the existing method, but also is more extensive and more useful than the existing method when tackling MAGDM problems in the setting of SIVHNMVSs.

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