On separable idempotent uninorms on a bounded chain and the structure of their demarcating functions

Abstract

As not all idempotent uninorms on a bounded (but not complete) chain can be characterized by decreasing unary functions on the chain as the demarcating functions, we introduce separable idempotent uninorms on a bounded chain. The separability of idempotent uninorms on a bounded chain is characterized. The structure of the demarcating functions of separable idempotent uninorms on a bounded chain and that of the demarcating functions of unilaterally continuous idempotent uninorms on a complete chain are also investigated.