Random-fuzzy variable: Difference between revisions

Revision as of 21:23, 18 December 2019

Revision as of 21:28, 11 February 2020

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==Definition==

[[File:Random-Fuzzy Variable.png|thumb|right|upright=2.0|<center>Random-Fuzzy Variable</center>]]

A Random-fuzzy Variable (RFV) is defined as a type 2 fuzzy variable which satisfies the following conditions:<ref name = "saliconebook">{{Cite book|title=Measuring uncertainty within the theory of evidence|last=Salicone, Simona|others=Prioli, Marco|isbn=9783319741390|___location=Cham, Switzerland|oclc=1032810109}}</ref>

* Both the internal and the external functions of the RFV can be identified.

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Some common probability distributions and the corresponding possibility distributions can be seen in the figures.

[[File:Normal distribution in probability and possibility.png|thumb|left|upright=2.0|<center>Normal distribution in probability and possibility.</center>]]

[[File:Uniform distribution in probability and possibility.png|thumb|right|upright=2.0|<center>Uniform distribution in probability and possibility.</center>]]

[[File:Triangular distribution in probability and possibility.png|thumb|center|upright=2.0|<center>Triangular distribution in probability and possibility.</center>]]

===The internal distribution(''r_internal'')===