Abstract
The notion of a mass assignment corresponding to a discrete fuzzy set is generalised to include all fuzzy sets. The definition is motivated by considering a possible mechanism by which an intelligent agent could extend set theoretic operations to fuzzy sets. This same mechanism also suggests an alternative definition for the conditional probability of fuzzy sets. It is noted that this definition is probability/possibility consistent and it is shown that in the case, where the probability distribution on the domain has a density function then the conditional probability of f given g can be expressed as the probability of f calculated relative to a conditional density function dependent on g. This result is used to develop an analytical method for calculating conditional probabilities of fuzzy subsets of the reals, where the membership functions of f and g and the density function are continuous piecewise linear functions. Such a method has applications to the development of a general semantic unification in Fril.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
