Title :
A Calculation of Maximal Fuzzy Points
Author :
Boixader, D. ; Jacas, J. ; Recasens, J.
Author_Institution :
Tech. Univ. of Catalonia (UPC), Catalonia
Abstract :
In this paper we study the fuzzy points with respect to a T-indistinguishability operator E stressing our attention to the maximal ones. This is due to the fact that normal fuzzy points are maximal and they coincide with the columns of E or, in other words, its equivalence classes. Fuzzy points express the granularity inherent with the indistinguishability and maximal ones give the maximal granularity generated by E. In general it is difficult to find the maximal fuzzy points of a universe X with a T-indistinguishability operator E, but in this paper we propose a geometrical approach that allows us to find them if X is a finite set.
Keywords :
equivalence classes; fuzzy set theory; T-indistinguishability operator; equivalence classes; maximal fuzzy point; set theory; Algebra; Computer architecture; Computer science; Fuzzy sets; Fuzzy systems; Helium;
Conference_Titel :
Fuzzy Systems, 2006 IEEE International Conference on
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-9488-7
DOI :
10.1109/FUZZY.2006.1681962