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
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;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2003.817851
