A probabilistic and statistical view of fuzzy methods
Technometrics
Outline of a theory of usuality based on fuzzy logic
Fuzzy sets, fuzzy logic, and fuzzy systems
Journal of Multivariate Analysis
Fuzzy logic and probability applications: bridging the gap
Fuzzy logic and probability applications: bridging the gap
Journal of Multivariate Analysis
Complexity of fuzzy probability logics II
Fuzzy Sets and Systems
Computational Statistics & Data Analysis
A behavioural model for vague probability assessments
Fuzzy Sets and Systems
Toward a generalized theory of uncertainty (GTU)--an outline
Information Sciences: an International Journal
UAI'95 Proceedings of the Eleventh conference on Uncertainty in artificial intelligence
Hi-index | 0.00 |
This paper aims at formalizing the intuitive idea that some points are more central in a probability distribution than others. Our proposal relies on fuzzy events to define a fuzzy set of central points for a distribution (or a family of distributions, including imprecise probability models). This framework has a natural interpretation in terms of fuzzy logic and unifies many known notions from statistics, including the mean, median and mode, interquantile intervals, the Lorenz curve, the halfspace median, the zonoid and lift zonoid, the coverage function and several expectations and medians of random sets, and the Choquet integral against an infinitely alternating or infinitely monotone capacity.