David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Synthese 30 (3-4):407-428 (1975)
The term fuzzy logic is used in this paper to describe an imprecise logical system, FL, in which the truth-values are fuzzy subsets of the unit interval with linguistic labels such as true, false, not true, very true, quite true, not very true and not very false, etc. The truth-value set, , of FL is assumed to be generated by a context-free grammar, with a semantic rule providing a means of computing the meaning of each linguistic truth-value in as a fuzzy subset of [0, 1].Since is not closed under the operations of negation, conjunction, disjunction and implication, the result of an operation on truth-values in requires, in general, a linguistic approximation by a truth-value in . As a consequence, the truth tables and the rules of inference in fuzzy logic are (i) inexact and (ii) dependent on the meaning associated with the primary truth-value true as well as the modifiers very, quite, more or less, etc.
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
W. V. Quine (1953/1980). From a Logical Point of View. Harvard University Press.
Alfred Tarski (1956). Logic, Semantics, Metamathematics. Oxford, Clarendon Press.
Nicholas Rescher (1969). Many-Valued Logic. New York, Mcgraw-Hill.
J. A. Goguen (1969). The Logic of Inexact Concepts. Synthese 19 (3-4):325-373.
Max Black (1963). Reasoning with Loose Concepts. Dialogue 2 (01):1-12.
Citations of this work BETA
Sam Alxatib & Francis Jeffry Pelletier (2011). The Psychology of Vagueness: Borderline Cases and Contradictions. Mind and Language 26 (3):287-326.
Elia Zardini (2008). A Model of Tolerance. Studia Logica 90 (3):337 - 368.
Andreas Blume & Oliver Board (2013). Intentional Vagueness. Erkenntnis 79 (S4):1-45.
Joseph Y. Halpern (2008). Intransitivity and Vagueness. Review of Symbolic Logic 1 (4):530-547.
Paul Égré & Anouk Barberousse (2014). Borel on the Heap. Erkenntnis 79 (S5):1043-1079.
Similar books and articles
Yoshihiro Maruyama (2010). Fuzzy Topology and Łukasiewicz Logics From the Viewpoint of Duality Theory. Studia Logica 94 (2):245 - 269.
J. F. Baldwin & N. C. F. Guild (1980). The Resolution of Two Paradoxes by Approximate Reasoning Using a Fuzzy Logic. Synthese 44 (3):397 - 420.
Helena Rasiowa (1994). Axiomatization and Completeness of Uncountably Valued Approximation Logic. Studia Logica 53 (1):137 - 160.
Nicholas J. J. Smith (2011). Fuzzy Logic and Higher-Order Vagueness. In Petr Cintula, Christian G. Fermüller, Lluis Godo & Petr Hájek (eds.), Understanding Vagueness: Logical, Philosophical and Linguistic Perspectives. College Publications 1--19.
Giangiacomo Gerla (2005). Fuzzy Logic Programming and Fuzzy Control. Studia Logica 79 (2):231 - 254.
Vilém Novák (1987). First-Order Fuzzy Logic. Studia Logica 46 (1):87 - 109.
Didier Dubois & Henri Prade (1996). New Trends and Open Problems in Fuzzy Logic and Approximate Reasoning. Theoria 11 (3):109-121.
Petr Hájek (2001). Fuzzy Logic and Arithmetical Hierarchy III. Studia Logica 68 (1):129-142.
Added to index2009-01-28
Total downloads222 ( #7,296 of 1,726,249 )
Recent downloads (6 months)9 ( #74,830 of 1,726,249 )
How can I increase my downloads?