Non-Archimedean fuzzy and probability logic

Journal of Applied Non-Classical Logics 18 (1):29-48 (2008)
  Copy   BIBTEX

Abstract

In this paper the non-Archimedean multiple-validity is proposed for basic fuzzy logic BL∀∞ that is built as an ω-order extension of the logic BL∀. Probabilities are defined on the class of fuzzy subsets and, as a result, for the first time the non-Archimedean valued probability logic is constructed on the base of BL∀∞.

Categories

Keywords

Reprint years

DOI

10.3166/jancl.18.29-48

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,423

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Non-Archimedean Probability.Vieri Benci, Leon Horsten & Sylvia Wenmackers - 2013 - Milan Journal of Mathematics 81 (1):121-151.
Axioms for Non-Archimedean Probability (NAP).Vieri Benci, Leon Horsten & Sylvia Wenmackers - 2012 - In De Vuyst J. & Demey L. (eds.), Future Directions for Logic; Proceedings of PhDs in Logic III - Vol. 2 of IfColog Proceedings. College Publications.
What Is Fuzzy Probability Theory?S. Gudder - 2000 - Foundations of Physics 30 (10):1663-1678.
Hyper-Archimedean BL-algebras are MV-algebras.Esko Turunen - 2007 - Mathematical Logic Quarterly 53 (2):170-175.
The fuzzy logic of chaos and probabilistic inference.I. Antoniou & Z. Suchanecki - 1997 - Foundations of Physics 27 (3):333-362.
Betting on Fuzzy and Many–valued Propositions.Peter Milne - unknown
Joint Consistency of Fuzzy Theories.Vilém Novák - 2002 - Mathematical Logic Quarterly 48 (4):563-573.
A type of fuzzy ring.Hacı Aktaş & Naim Çağman - 2007 - Archive for Mathematical Logic 46 (3-4):165-177.
NP-containment for the coherence test of assessments of conditional probability: a fuzzy logical approach. [REVIEW]Tommaso Flaminio - 2007 - Archive for Mathematical Logic 46 (3-4):301-319.
Fuzzy Galois connections on fuzzy posets.Wei Yao & Ling-Xia Lu - 2009 - Mathematical Logic Quarterly 55 (1):105-112.
Probability, vague statements and fuzzy sets.A. I. Dale - 1980 - Philosophy of Science 47 (1):38-55.
Non-Archimedean valued predicate logic.Andrew Schumann - 2007 - Bulletin of the Section of Logic 36 (1/2):67-78.

Analytics

Added to PP
2013-12-29

Downloads
28 (#556,922)

6 months
6 (#512,819)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Andrew Schumann
University of Information Technology and Management In Rzeszow

Citations of this work

Triangulating non-archimedean probability.Hazel Brickhill & Leon Horsten - 2018 - Review of Symbolic Logic 11 (3):519-546.
Preface.Andrew Schumann - 2011 - History and Philosophy of Logic 32 (1):1-8.
p-Adic valued logical calculi in simulations of the slime mould behaviour.Andrew Schumann - 2015 - Journal of Applied Non-Classical Logics 25 (2):125-139.
Argumentation Theory and the conception of epistemic justification.Lilian Bermejo-Luque - 2009 - In Marcin Koszowy (ed.), Informal logic and argumentation theory. Białystok: University of Białystok. pp. 285--303.

View all 8 citations / Add more citations

References found in this work

Fuzzy logic: Mathematical tools for approximate reasoning.Giangiacomo Gerla - 2003 - Bulletin of Symbolic Logic 9 (4):510-511.
Logical Approach to p-adic Probabilities.A. Yu Khrennikov & Andrew Schumann - 2006 - Bulletin of the Section of Logic 35 (1):49-57.

Add more references