Jun, Y., Park, C. (2009). APPLICATIONS OF SOFT SETS IN HILBERT ALGEBRAS. Iranian Journal of Fuzzy Systems, 6(2), 75-86. doi: 10.22111/ijfs.2009.212

Young Bae Jun; Chul Hwan Park. "APPLICATIONS OF SOFT SETS IN HILBERT ALGEBRAS". Iranian Journal of Fuzzy Systems, 6, 2, 2009, 75-86. doi: 10.22111/ijfs.2009.212

Jun, Y., Park, C. (2009). 'APPLICATIONS OF SOFT SETS IN HILBERT ALGEBRAS', Iranian Journal of Fuzzy Systems, 6(2), pp. 75-86. doi: 10.22111/ijfs.2009.212

Jun, Y., Park, C. APPLICATIONS OF SOFT SETS IN HILBERT ALGEBRAS. Iranian Journal of Fuzzy Systems, 2009; 6(2): 75-86. doi: 10.22111/ijfs.2009.212

^{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.

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