Host: Japan Society for Fuzzy Theory and Intelligent Informatics (SOFT)
In this report, the ordinal sum theorem of semigroups is applied to construct logical operations for several fuzzy logics. The generalized form of ordinal sum for fuzzy logics on [0,1] is defined in order to express uniformly several families of logical operations, and then the conditions for the conjunction/disjunction-likeness or for the left/right-continuity are presented.