Title
Contrapositive symmetry of distributive fuzzy implications revisited
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.
Year
DOI
Venue
2009
10.1109/FUZZY.2009.5277159
FUZZ-IEEE
Keywords
Field
DocType
null
T-norm,Discrete mathematics,Distributive property,Fuzzy implication,Control theory,Fuzzy logic,Pure mathematics,Fuzzy set,Functional equation,Mathematics
Conference
Volume
Issue
Citations 
null
null
1
PageRank 
References 
Authors
0.35
4
2
Name
Order
Citations
PageRank
Li Yang135963.68
Qin Feng2100267.52