Paper Info
Title
Several results on de Morgan algebra and Kleene algebra of fuzzy logic
Abstract
We present several results on de Morgan algebras and Kleene algebras of fuzzy logic. The main results include (1) a necessary and sufficient condition for a de Morgan algebra to be a Kleene algebra, (2) equivalence of some expressions, (3) some properties about de Morgan algebras with sup W+ and inf W-, (4) some properties of the de Morgan algebras which satisfy certain special conditions, (5) a method to obtain all fixed points of a de Morgan algebra and (6) extensions of some theorems on complete de Morgan algebras that have fixed points to the general case
Year
DOI
Venue
2001
10.1109/FUZZ.2001.1008857
FUZZ-IEEE
Keywords
Field
DocType
lattice,fixed points,fuzzy set theory,kleene algebra,de morgan algebra,necessary and sufficient condition,fuzzy logic,fixed point,computer science,information management,management information systems,mathematics,satisfiability,lattices,art,algebra
Interior algebra,Kleene algebra,Discrete mathematics,De Morgan algebra,Boolean algebra (structure),Division algebra,Cellular algebra,Jordan algebra,Mathematics,Algebra representation
Conference
Volume
Citations 
PageRank 
3
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Jianming Deng100.68
Motohide Umano218328.91
Tetsuhisa Oda301.01
yushi uno422228.80