Approximation in Hilbert algebras

In this note the basic notion of rough set theory will be given. We shall introduce the notion of rough ideal and rough subalgebras of Hilbert algebra, which is a generalization of ideal and subalgebra in Hilbert algebra and we shall give some properties of the lower and upper approximation in Hilbe...

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Published inScientia magna Vol. 4; no. 4; pp. 77 - 85
Main Authors Saeid, A. Borumand, Havenshki, M
Format Journal Article
LanguageEnglish
Published Gallup Neutrosophic Sets and Systems 01.12.2008
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Subjects
Algebra
Approximation theory
Discovery and exploration
Fuzzy sets
Methods
Studies
Varieties
Iran
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ISSN1556-6706

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Summary:In this note the basic notion of rough set theory will be given. We shall introduce the notion of rough ideal and rough subalgebras of Hilbert algebra, which is a generalization of ideal and subalgebra in Hilbert algebra and we shall give some properties of the lower and upper approximation in Hilbert algebra. Finally we study fuzzy rough sets in Hilbert algebras.
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ISSN:1556-6706