A Proposal of Probability of Rough Event Based on Probability of Fuzzy Event

Authors:
Rolly Intan;Masao Mukaidono
Affiliations:
-;-
Venue:
TSCTC '02 Proceedings of the Third International Conference on Rough Sets and Current Trends in Computing
Year:
2002

Citing 4
Cited 0

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Abstract

Probability and fuzziness are different measures for dealing with different uncertainties in which they be able tob e combined and considered as a complementary tool. In this paper, the relationship between probability and fuzziness are discussed based on the process of perception. In probability, set theory is used to provide a language for modeling and describing random experiments. Here, as a generalization of crisp set, fuzzy set is used to model fuzzy event as defined by Zadeh. Similarly, rough set can be also used to represent rough event in terms of probability measure. Special attention will be given to conditional probability of fuzzy event as well as conditional probability of rough event. Their several combinations of formulation and properties are defined.