Systems of ordinal fuzzy logic with application to preference modelling

Bernard De Baets, Francesc Esteva, János Fodor, Lluís Godo

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

In this paper, we survey several many-valued propositional logics in which 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.

Original languageEnglish
Pages (from-to)353-359
Number of pages7
JournalFuzzy Sets and Systems
Volume124
Issue number3
DOIs
Publication statusPublished - Dec 16 2001

Keywords

  • Fuzzy logic
  • Fuzzy preference structure
  • Nilpotent minimum
  • Ordinal connectives

ASJC Scopus subject areas

  • Logic
  • Artificial Intelligence

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