Title: Lattice-Valued Truth Degree in Łukasiewicz Propositional Fuzzy Logic
Abstract: The study of formula truth degree based on the grading idea has been a hot topic in some common logic systems, such as classical twovalued propositional logic, many-valued propositional logic, predicate logic, fuzzy propositional logic and model logic. So far, almost all definitions of truth degree are given on the unit interval [0, 1] whose structures are seldom considered. This paper try to define formula truth degree on MV-algebra, a bounded distributive lattice, as lattice-valued truth degree. Besides profit from plenty inherent properties of MV-algebra and its generalization of unit interval [0, 1], lattice-valued truth degree discussed as follows may contribute to establishing truth degree theory about lattice-valued proposition logic.
Publication Year: 2010
Publication Date: 2010-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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