Title :
Qualitative fuzzy sets and granularity
Author :
Lin, T.Y. ; Tsumoto, Shusaku
Author_Institution :
Dept. of Math. & Comput. Sci., San Jose State Univ., San Jose, CA
Abstract :
This paper proposes qualitative fuzzy sets, where each membership function is able to tolerate "small amounts" of perturbations. This can be viewed as one of the type II fuzzy sets, where the grade of a membership function is represented by a fuzzy number. In this paper, we surveyed our qualitative fuzzy sets from the viewpoint of category theory.
Keywords :
category theory; fuzzy set theory; number theory; category theory; fuzzy number; membership function; qualitative fuzzy sets; type II fuzzy sets; Biomedical informatics; Cities and towns; Cognitive informatics; Computer science; Fuzzy control; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Mathematics; Numerical analysis;
Conference_Titel :
Cognitive Informatics, 2008. ICCI 2008. 7th IEEE International Conference on
Conference_Location :
Stanford, CA
Print_ISBN :
978-1-4244-2538-9
DOI :
10.1109/COGINF.2008.4639198
