On bisymmetric operators on a finite chain
M. Mas, Miquel Monserrat, Joan David Janer Torrens · IEEE Transactions on Fuzzy Systems · 2003
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.