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APPLICATIONS OF SOFT SETS IN HILBERT ALGEBRAS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 8، دوره 6، شماره 2، شهریور 2009، صفحه 75-86 اصل مقاله (194 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2009.212 | ||
| نویسندگان | ||
| Young Bae Jun1؛ Chul Hwan Park* 2 | ||
| 1Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Korea | ||
| 2Department of Mathematics, University of Ulsan, Ulsan 680-749, Korea | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| 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 | ||
| مراجع | ||
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