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Soft Computing
Published in: Soft Computing 22/2017

20-09-2016 | Foundations

\(C_{n}{} { MV}_{m}\)-algebras

Author: Ramaz Liparteliani

Published in: Soft Computing | Issue 22/2017

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Abstract

We introduce the theory of new algebras which have MV-algebra signature enriched with unary operations. These operations are of closure operation type. The appropriate logical system with modalities is constructed.
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Literature
Baaz M (1996) Infinite-valued Gödel logics with 0–1-projections and relativizations. In: Gödel (ed) ’96 Springer. Lecture Notes in Logic, vol 6. Springer, Berlin, pp 23–33
Birkhoff G (1967) Lattice theory. American Mathematical Society, New YorkMATH
Cignoli R, D’Ottaviano IML, Mundici D (2000) Algebraic foundations of many-valued reasoning. Kluwer, DordrechtCrossRefMATH
Di Nola A, Grigolia R, Lettieri A, Loia V (2002) Cellular logic based automata. In: Proceedings of institute of cybernetics, vol 2, No (1–2)
Grigolia R (1977) Algebraic analysis of Lukasievicz-Tarski n-valued logical systems. Selected papers on Lukasiewicz Sentential Calculi, Wroclaw, pp 81–91
Lukasiewicz J, Tarski A (1930) Untersuchungen űber den Aussagenkalkűl. Comptes Rendus des Séances de la Société des Sciences et des Lettres de Varsovie, Classe II I(25):30–50MATH
Metadata
Title
-algebras
Author
Ramaz Liparteliani
Publication date
20-09-2016
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 22/2017
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-016-2362-0

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