Systems of ordinal fuzzy logic with application to preference modelling
Publication Type:
Journal ArticleSource:
Fuzzy Sets and Systems, Volume 124, Number 3, p.353-359 (2001)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.
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