Random-fuzzy variable: Difference between revisions

Content deleted Content added
not an orphan
Link to DAB page repaired
Line 30:
This is completely random in nature and is a normal probability distribution when several random contributions are combined according to the [[Central limit theorem]].<ref>{{Cite book|url=https://www.worldcat.org/oclc/761646775|title=Introduction to Probability and Statistics for Engineers and Scientists.|last=Ross, Sheldon M.|date=2009|publisher=Elsevier Science|isbn=9780080919379|edition= 4th|___location=Burlington|oclc=761646775}}</ref>
 
But, there can also be random contributions from other probability distributions such as a [[Uniform distribution (continuous)|uniform distribution]], [[gamma distribution]] and so on.
 
The probability distribution can be modeled from the measurement data. Then, the probability distribution can be used to model an equivalent possibility distribution using the maximally specific probability-possibility transformation.<ref>{{Cite journal|last=KLIR†|first=GEORGE J.|last2=PARVIZ|first2=BEHZAD|date=1992-08-01|title=Probability-Possibility Transformations: A Comparison|url=https://doi.org/10.1080/03081079208945083|journal=International Journal of General Systems|volume=21|issue=3|pages=291–310|doi=10.1080/03081079208945083|issn=0308-1079}}</ref>