DocumentCode
1624392
Title
Contrapositive symmetry of distributive fuzzy implications revisited
Author
Li, Yang ; Feng, Qin
Author_Institution
Coll. of Math. & Inf. Sci., Jiangxi Normal Univ., Nanchang, China
fYear
2009
Firstpage
560
Lastpage
563
Abstract
In this paper, we explore the solution of functional equations I(x,T(y,z)) = T(I(x,y),I(x,z)) and I(x,y) = I(N(y),N(x)) satisfied simultaneously, where T is a strict t-norm, I a fuzzy implication and N a strong negation. Under the assumptions of I continuous except the points (0, 0) and (1, 1), we get the full characterizations of the solutions for this functional equations.
Keywords
functional equations; fuzzy logic; fuzzy set theory; contrapositive symmetry; distributive fuzzy implication; functional equation; fuzzy implication; t-norm; Boundary conditions; Educational institutions; Engines; Equations; Explosions; Fuzzy logic; Information science; Mathematics;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference on
Conference_Location
Jeju Island
ISSN
1098-7584
Print_ISBN
978-1-4244-3596-8
Electronic_ISBN
1098-7584
Type
conf
DOI
10.1109/FUZZY.2009.5277159
Filename
5277159
Link To Document