APPLICATIONS OF SOFT SETS IN HILBERT ALGEBRAS

نویسندگان

  • Chul Hwan Park Department of Mathematics, University of Ulsan, Ulsan 680-749, Korea
  • Young Bae Jun Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Korea
چکیده مقاله:

The concept of soft sets, introduced by Molodtsov [20] is a mathematicaltool for dealing with uncertainties, that is free from the difficultiesthat have troubled the traditional theoretical approaches. In this paper, weapply 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 propertiesare investigated. The relations between soft Hilbert algebras, soft Hilbertabysmal algebras and soft Hilbert deductive algebras are also derived.

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applications of soft sets in hilbert algebras

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عنوان ژورنال

دوره 6  شماره 2

صفحات  75- 86

تاریخ انتشار 2009-06-11

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