APPLICATIONS OF SOFT SETS IN HILBERT ALGEBRAS

Document Type: Research Paper

Authors

1 Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Korea

2 Department of Mathematics, University of Ulsan, Ulsan 680-749, Korea

Abstract

The concept of soft sets, introduced by Molodtsov [20] is a mathematical
tool for dealing with uncertainties, that is free from the difficulties
that have troubled the traditional theoretical approaches. In this paper, we
apply the notion of the soft sets of Molodtsov to the theory of Hilbert algebras.
The notion of soft Hilbert (abysmal and deductive) algebras, soft subalgebras,
soft abysms and soft deductive systems are introduced, and their basic properties
are investigated. The relations between soft Hilbert algebras, soft Hilbert
abysmal algebras and soft Hilbert deductive algebras are also derived.

Keywords


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