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Iranian Journal of Fuzzy Systems، جلد ۶، شماره ۲، صفحات ۷۵-۸۶
عنوان فارسی APPLICATIONS OF SOFT SETS IN HILBERT ALGEBRAS
چکیده فارسی مقاله 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.
کلیدواژه‌های فارسی مقاله Hilbert algebra، Soft set، Soft Hilbert algebra، Soft Hilbert abysmal algebra، Soft Hilbert deductive algebra، (trivial، whole) soft Hilbert algebra، Soft subalgebra، Soft abysm، Soft deductive system،
عنوان انگلیسی APPLICATIONS OF SOFT SETS IN HILBERT ALGEBRAS
چکیده انگلیسی مقاله 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.
کلیدواژه‌های انگلیسی مقاله Hilbert algebra, Soft set, Soft Hilbert algebra, Soft Hilbert abysmal algebra, Soft Hilbert deductive algebra, (trivial, whole) soft Hilbert algebra, Soft subalgebra, Soft abysm, Soft deductive system
نویسندگان مقاله یانگ بایی جون | young bae
department of mathematics education and rins , gyeongsang national university, chinju 660-701, korea

chul hwan سونگ گو | chul hwan
department of mathematics, university of ulsan, ulsan 680-749, korea

نشانی اینترنتی http://ijfs.usb.ac.ir/article_212_0e2304d1bdfe452ab84730ecc265a358.pdf
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