On vagueness, truth values and fuzzy logics
type: Item
instance of: scholarly article
title: On vagueness, truth values and fuzzy logics
zbMATH Open document ID: 1173.03023
author: Petr Hájek
published in: Studia Logica
publication date: 2009-05-08T00:00:00Z
review text: Several aspects of vagueness, as presented in \textit{S. Shapiro}'s book [Vagueness in context. Oxford: Oxford Univ. Press (2006)], are analyzed from the point of view of fuzzy logic. In this paper, the author presents some generalizations of Shapiro's formal apparatus, in particular he studies how it can be applied to fuzzy logic, possibly generalized by interval-valued interpretations. As the final conclusion, the author writes that the role of mathematical fuzzy logic in the study of vagueness should not be underestimated.
reviewed by: Michał Baczyński
Mathematics Subject Classification ID: 03B52
Mathematics Subject Classification ID: 68T37
zbMATH DE Number: 5552256
zbMATH Keywords: vagueness
zbMATH Keywords: truth values
zbMATH Keywords: fuzzy logic
zbMATH Keywords: interval-valued fuzzy logic
MaRDI profile type: Publication
full work available at URL: s11225-009-9179-0
OpenAlex ID: W1983132901
cites work: Weakly implicative (fuzzy) logics. I: Basic properties
cites work: Advances and challenges in interval-valued fuzzy logic
cites work: REPRESENTABILITY IN INTERVAL-VALUED FUZZY SET THEORY
cites work: ENRICHED INTERVAL BILATTICES AND PARTIAL MANY-VALUED LOGICS: AN APPROACH TO DEAL WITH GRADED TRUTH AND IMPRECISION
cites work: Monoidal t-norm based logic: Towards a logic for left-continuous t-norms
cites work: The \(L\Pi\) and \(L\Pi\frac 12\) logics: Two complete fuzzy systems joining Łukasiewicz and product logics
cites work: Vagueness, truth and logic
cites work: Fuzzy logic. Mathematical tools for approximate reasoning
cites work: Łukasiewicz logic and fuzzy set theory
cites work: Triangle Algebras: Towards an Axiomatization of Interval-Valued Residuated Lattices
cites work: Metamathematics of fuzzy logic
cites work: Q5686977
cites work: The sorites paradox and fuzzy logic
cites work: Product Łukasiewicz logic
cites work: Bookmaking over infinite-valued events
cites work: On Fuzzy Logic I Many‐valued rules of inference
DOI: 10.1007/S11225-009-9179-0
description: scientific article; zbMATH DE number 5552256