Knowledge Algebras and Their Discrete Duality

Anna Radzikowska , Ewa Orłowska

Abstract

A class of knowledge algebras inspired by a logic with the knowledge operator presented in [17] is introduced . Knowledge algebras provide a formalization of the Hintikka knowledge operator [8] and reflect its rough set semantics. A discrete duality is proved for the class of knowledge algebras and a corresponding class of knowledge frames.
Author Anna Radzikowska (FMIS / DDG)
Anna Radzikowska,,
- Department of Differential Geometry
, Ewa Orłowska
Ewa Orłowska,,
-
Pages7-20
Publication size in sheets0.65
Book Skowron Andrzej, Suraj Zbigniew (eds.): Rough Sets and Intelligent Systems – Professor Zdzisław Pawlak in Memoriam. Volume 2, Intelligent Systems Reference Library, vol. 43, 2013, Heidelberg New York Dordrecht London, Springer-Verlag, ISBN 978-3-642-30340-1, 604 p., DOI:10.1007/978-3-642-30341-8
front-matter-RSIS.pdf / 344.73 KB / No licence information
Keywords in EnglishArtificial Intelligence (incl. Robotics), Boolean algebra, canonical frame, complex algebra, Computational Intelligence, discrete duality, knowledge algebra, knowledge frame, knowledge operator, representation theorem, Rough set
ASJC Classification3309 Library and Information Sciences; 1802 Information Systems and Management; 1700 General Computer Science
Abstract in PolishW pracy przedstawiona jest klasa algebr wiedzy, które stanowią rozszerzenie algebr Boole
DOIDOI:10.1007/978-3-642-30341-8_2
URL http://link.springer.com/chapter/10.1007/978-3-642-30341-8_2
Languageen angielski
Score (nominal)5
ScoreMinisterial score = 5.0, 04-09-2019, MonographChapterAuthor
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2014 = 0.201
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