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

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 101,757

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

Hyper-Archimedean BL-algebras are MV-algebras.Esko Turunen - 2007 - Mathematical Logic Quarterly 53 (2):170-175.
Hájek basic fuzzy logic and Łukasiewicz infinite-valued logic.Roberto Cignoli & Antoni Torrens - 2003 - Archive for Mathematical Logic 42 (4):361-370.
Unification in some Substructural Logics of BL-algebras and Hoops.Wojciech Dzik - 2008 - Reports on Mathematical Logic.
A Temporal Semantics for Basic Logic.Stefano Aguzzoli, Matteo Bianchi & Vincenzo Marra - 2009 - Studia Logica 92 (2):147-162.
An Extension Principle for Fuzzy Logics.Giangiacomo Gerla - 1994 - Mathematical Logic Quarterly 40 (3):357-380.
Triangulating non-archimedean probability.Hazel Brickhill & Leon Horsten - 2018 - Review of Symbolic Logic 11 (3):519-546.
Towards metamathematics of weak arithmetics over fuzzy logic.Petr Hájek - 2011 - Logic Journal of the IGPL 19 (3):467-475.
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.
Non-Archimedean Probability.Vieri Benci, Leon Horsten & Sylvia Wenmackers - 2013 - Milan Journal of Mathematics 81 (1):121-151.
Commutative basic algebras and non-associative fuzzy logics.Michal Botur & Radomír Halaš - 2009 - Archive for Mathematical Logic 48 (3-4):243-255.

Analytics

Added to PP
2013-12-29

Downloads
46 (#485,598)

6 months
11 (#362,865)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

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