@INPROCEEDINGS{NavaraPtak:Linz04, IS = { zkontrolovano 31 Mar 2004 }, UPDATE = { 2004-03-26 }, AUTHOR = {Navara, Mirko and Pt{\' a}k, Pavel}, TITLE = {Regular measures on tribes of fuzzy sets}, EDITOR = {E.P. Klement and E. Pap}, BOOKTITLE = {Mathematics of Fuzzy Systems}, PUBLISHER = {Johannes Kepler University}, ADDRESS = {Linz, Austria}, YEAR = {2004}, MONTH = {February}, day = {3--7}, PAGES = {153--161}, isbn = {none}, book_pages = {216}, venue = {Linz, Austria}, importance = {1}, authorship = {50-50}, keywords = {fuzzy set, measure, tribe, triangular norm}, annote = {The classical measure and probability theory is based on the notion of Sigma-algebra of subsets of a set. Butnariu and Klement generalized it to fuzzy sets by considering collections of fuzzy sets called $T$-tribes (where $T$ denotes a fixed triangular norm). Their concept of $T$-measure is fundamental in the fuzzification of classical measure theory. However, it has been successfully applied elsewhere, too (e.g., in finding solutions of games with fuzzy coalitions). Here we summarize results about characterization of measures on tribes. Unlike preceding papers, we put emphasis on regular measures. We argue that this notion could be considered as a promising alternative to the original notion of Butnariu and Klement.}, project = {MSM 212300013, GACR 201/02/1540, CEEPUS SK-042}, psurl = {[PostScript]}, }