Click for new scientific resources and news about Corona[COVID-19]

Paper Information

Journal:   JOURNAL OF NEW RESEARCHES IN MATHEMATICS   FALL 2017 , Volume 3 , Number 11 ; Page(s) 41 To 50.
 
Paper: 

PROBABILITY-POSSIBILITY DEA MODEL WITH FUZZY RANDOM DATA IN PRESENCE OF SKEW-NORMAL DISTRIBUTION

 
 
Author(s):  MEHRASA B., BEHZADI M.H.*
 
* DEPARTMENT OF STATISTICS, SCIENCE AND RESEARCH BRANCH, ISLAMIC AZAD UNIVERSITY, TEHRAN, IRAN
 
Abstract: 

Data envelopment analysis (DEA) is a mathematical method to evaluate the performance of decision-making units (DMU). In the performance evaluation of an organization based on the classical theory of DEA, input and output data are assumed to be deterministic, while in the real world, the observed values of the inputs and outputs data are mainly fuzzy and random. A normal distribution is a continuous distribution which is extremely important in statistics because of its behavior. It is assumed in most cases that fuzzy random data are normally distributed, while such an assumption may not hold in practice. Therefore, using the normal distribution leads to erroneous conclusions. In the present study, we investigated DEA fuzzy random model under condition of probability -possibility, in the presence of a skew-normal distribution. In other words, this method embraced the previous methods in a specific state. Finally, a set of numerical example is presented to demonstrate the efficacy of procedure and algorithm.

 
Keyword(s): DATA ENVELOPMENT ANALYSIS, DECISION MAKING UNIT, SKEW-NORMAL DISTRIBUTION, FUZZY RANDOM VARIABLE
 
 
References: 
  • Not Registered.
  •  
  •  
 
Citations: 
  • Not Registered.
 
+ Click to Cite.
APA: Copy

MEHRASA, B., & BEHZADI, M. (2017). PROBABILITY-POSSIBILITY DEA MODEL WITH FUZZY RANDOM DATA IN PRESENCE OF SKEW-NORMAL DISTRIBUTION. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 3(11 ), 41-50. https://www.sid.ir/en/journal/ViewPaper.aspx?id=569729



Vancouver: Copy

MEHRASA B., BEHZADI M.H.. PROBABILITY-POSSIBILITY DEA MODEL WITH FUZZY RANDOM DATA IN PRESENCE OF SKEW-NORMAL DISTRIBUTION. JOURNAL OF NEW RESEARCHES IN MATHEMATICS. 2017 [cited 2021July27];3(11 ):41-50. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=569729



IEEE: Copy

MEHRASA, B., BEHZADI, M., 2017. PROBABILITY-POSSIBILITY DEA MODEL WITH FUZZY RANDOM DATA IN PRESENCE OF SKEW-NORMAL DISTRIBUTION. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, [online] 3(11 ), pp.41-50. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=569729.



 
 
Persian Abstract Yearly Visit 54
 
 
Latest on Blog
Enter SID Blog