@article { IIIA-2001-477, title = {Systems of ordinal fuzzy logic with application to preference modelling}, journal = {Fuzzy Sets and Systems}, volume = {124}, number = {3}, year = {2001}, pages = {353-359}, abstract = {In this paper, we survey several many-valued propositional logics in wich the truth-functions (in the real unit interval [0, 1]) of their connectives are definable only from the natural ordering of the scale, without using any richer algebraic structure. In particular we describe a complete notion of proof for weighted formulas of the implication-free fragment of Gödel logic with involution. The usefulness of this logical framework for the formalization of ordinal preference modelling is also shown.}, author = {Bernard De Baets and Francesc Esteva and J\'anos Fodor and Llu\'{\i}s Godo} }