Title :
Qualitative fuzzy sets revisited: granulation on the space of membership functions
Author :
Lin, T.Y. ; Tsumoto, Shusaku
Author_Institution :
Dept. of Math. & Comput. Sci., San Jose State Univ., CA, USA
Abstract :
A qualitative fuzzy set should be characterized by an elastic membership function that can accommodate a “small amount” of stretching and a limited number of broken points. Such a theory involves two mathematical notions: one is topological and the other is measurement-theoretical. This paper extends previous topological considerations to measurement-theoretical ones
Keywords :
functions; fuzzy set theory; measurement theory; rough set theory; topology; broken points; elastic membership function; measurement theory; membership function space granulation; neighborhood system; qualitative fuzzy sets; rough sets; stretching; topology; Biomedical informatics; Cities and towns; Computer science; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Mathematics; Rough sets; Set theory; Topology;
Conference_Titel :
Fuzzy Information Processing Society, 2000. NAFIPS. 19th International Conference of the North American
Conference_Location :
Atlanta, GA
Print_ISBN :
0-7803-6274-8
DOI :
10.1109/NAFIPS.2000.877447
