Generalized t-norm structures
This is a continuation of the work in (Drossos and Navara, EUFIT 96, Aachen, Germany, 1996). In this paper we investigate the possibility of defining a quantitative structure (non-idempotent) on the top of a usual qualitative structure. These generalized monoidal structures are very much related to the notion of t-norms and t-conorms defined on the closed interval [0, 1]. We would then like to define an appropriate generalization of the notion of t-norm, as a generalized monoidal structure, which will reflect a minimum of properties of t-norms defined on [0, 1] considered as absolutely basic. (C) 1999 Elsevier Science B.V. All rights reserved.
t-norms and t-conorms locales quantales commutative residuated l-monoids interior and closure operators