Title :
Closures of fuzzy linguistic truth value with regards to the extension principle
Author :
Kikuchi, Hiroaki
Author_Institution :
Dept. of Inf. Media Technol., Tokai Univ., Kanagawa, Japan
fDate :
6/23/1905 12:00:00 AM
Abstract :
We studied non-convex or sub-normal linguistic truth values that has not been considered so far. The logical operations based on the extension principle are closed into VN, VC and V R and arbitrary intersection of any of these is also closed. There are infinite number of subsets outside of the convex truth value, that are classified by the ranks. We show that a set of linguistic truth values of a common rank is not closed
Keywords :
fuzzy logic; fuzzy set theory; truth maintenance; algebraic systems; closed subset; extension principle; fuzzy logic; fuzzy set theory; fuzzy truth value; interval-valued logic; linguistic truth values; Algebra; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Information technology; Logic functions;
Conference_Titel :
Fuzzy Systems, 2001. The 10th IEEE International Conference on
Conference_Location :
Melbourne, Vic.
Print_ISBN :
0-7803-7293-X
DOI :
10.1109/FUZZ.2001.1008924
