Name
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. |
Year | DOI | Venue |
|---|---|---|
1998 | 10.1016/S0165-0114(96)00275-8 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
mass assignment,analytical method,conditional probability,fuzzy subsets,continuous domain,semantic unification,conditional probability of fuzzy sets,fuzzy set,probability distribution,membership function,piecewise linear,intelligent agent | Discrete mathematics,Conditional probability distribution,Conditional probability,Posterior probability,Regular conditional probability,Probability distribution,Type-2 fuzzy sets and systems,Membership function,Mathematics,Law of total probability | Journal |
Volume | Issue | ISSN |
96 | 2 | Fuzzy Sets and Systems |
Citations | PageRank | References |
2 | 0.41 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| James F. Baldwin | 1 | 25 | 4.57 |
| Jonathan Lawry | 2 | 172 | 19.06 |
| Trevor P. Martin | 3 | 2 | 0.41 |