@InProceedings{Navara:Linz07, IS = { zkontrolovano 15 Dec 2007 }, UPDATE = { 2007-12-11 }, author = {Mirko Navara}, title = {Probability and conditional probability on tribes of fuzzy sets}, year = {2007}, pages = {84--88}, booktitle = {Fuzzy Sets, Probability, and Statistics -- Gaps And Bridges}, editor = {Dubois, D. and Klement, E.P. and Mesiar, R.}, publisher = {Johannes Kepler University}, address = {Linz, Austria}, book_pages = {128}, month = {February}, day = {6-10}, venue = {Johannes Kepler University, Linz, Austria}, organization ={EUSFLAT}, annote = {The classical probability theory and statistics tries to avoid experiments whose results are vague. However, also this type of information is useful and used in everyday life. To treat it, an extension of probability theory to events described by fuzzy sets is highly desirable. An intuitive definition has been suggested by Zadeh. Later on, an axiomatic approach has been introduced by Butnariu and Klement. Independently, measures on MV-algebras have been studied. Particularly interesting results have been obtained by Rie\v{c}an and Mundici for MV-algebras with product. We show that these two approaches overlap significantly. Further, we outline conditional probabilities in this context. }, keywords = {Probability measure, fuzzy set, tribe, MV-algebra, MV-algebra with product, conditional probability}, importance = {1}, project = {MSM 6840770038}, psurl = {[PDF]}, www = {http://www.flll.jku.at/research/linz2007/}, }