Numerical representations of imperfectly ordered preferences (a unified geometric exposition)
Journal of Mathematical Psychology
Prolegomena to Dynamic Epistemic Preference Logic
New Frontiers in Artificial Intelligence
Measurement-theoretic foundation of preference-based dyadic deontic logic
LORI'09 Proceedings of the 2nd international conference on Logic, rationality and interaction
Measurement-theoretic foundations of probabilistic model of JND-based vague predicate logic
LORI'11 Proceedings of the Third international conference on Logic, rationality, and interaction
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Vagueness is a ubiquitous feature that we know from many expressions in natural languages. It can invite a serious problem: the Sorites Paradox. The aim of this paper is to proposed a new version of complete logic for vague predicates - salient-similarity-based vague predicate logic (SVPL) that can avoid the Sorites Paradox and give answers to all of the Semantic Question, the Epistemological Question and the Psychological Question given by Graff.