DocumentCode
800949
Title
On bisymmetric operators on a finite chain
Author
Mas, Margarita ; Monserrat, Miquel ; Torrens, Joan
Author_Institution
Departamente de Ciencies Matematiques i Informatica, Univ. de les Illes Balears, Palma de Mallorca, Spain
Volume
11
Issue
5
fYear
2003
Firstpage
647
Lastpage
651
Abstract
The bisymmetry property is studied for operators defined on a finite chain. In particular, a characterization of all bisymmetric, commutative and smooth binary operators is given. It is deduced from this characterization that bisymmetry and associativity are equivalent for finite chains, under these additional conditions.
Keywords
fuzzy logic; fuzzy set theory; mathematical operators; associativity; bisymmetric operators; commutative binary operators; finite chain; fuzzy logic; fuzzy sets; smooth binary operators; t-conorm; t-norm; Fuzzy logic; Fuzzy sets; Helium;
fLanguage
English
Journal_Title
Fuzzy Systems, IEEE Transactions on
Publisher
ieee
ISSN
1063-6706
Type
jour
DOI
10.1109/TFUZZ.2003.817851
Filename
1235991
Link To Document