APPLICATIONS OF SOFT SETS IN HILBERT ALGEBRAS

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JUN Y.B.; PARK C.H.

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Journal: Iranian Journal of Fuzzy Systems Year:2009 | Volume:6 | Issue:2 Page(s): 75-86

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Information Journal Paper

Title

APPLICATIONS OF SOFT SETS IN HILBERT ALGEBRAS

Author(s)

JUN Y.B. | PARK C.H. | Issue Writer Certificate

Keywords

HILBERT ALGBRAQ2

SOFT SETQ2

SOFT HILBERT ALGEBRAQ2

SOFT HILBERT ABYSMAL ALGEBRAQ2

SOFT HILBERT DEDUCTIVE ALGEBRAQ2

(TRVIALQ2

WHOLE) SOFT HILBERT ALGEBRAQ2

SOFT SUBALGEBRAQ2

SOFT ABYSMQ2

SOFT DEDUCTIVE SYSTEMQ2

Abstract

The concept of SOFT SETs, introduction by Molodtsov [20] introduced the concept of SOFT SET as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper we apply the notion of SOFT SETs by Molodtsov to the theory of Hilbert algebras. The notion of soft Hilbert (abysmal and deductive) algebras, soft sub algebras, 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.

Cites

ON SOME STRUCTURES OF SOFT TOPOLOGY

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APA: Copy

JUN, Y.B., & PARK, C.H.. (2009). APPLICATIONS OF SOFT SETS IN HILBERT ALGEBRAS. IRANIAN JOURNAL OF FUZZY SYSTEMS, 6(2), 75-86. SID. https://sid.ir/paper/113393/en

Vancouver: Copy

JUN Y.B., PARK C.H.. APPLICATIONS OF SOFT SETS IN HILBERT ALGEBRAS. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2009;6(2):75-86. Available from: https://sid.ir/paper/113393/en

IEEE: Copy

Y.B. JUN, and C.H. PARK, “APPLICATIONS OF SOFT SETS IN HILBERT ALGEBRAS,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 6, no. 2, pp. 75–86, 2009, [Online]. Available: https://sid.ir/paper/113393/en

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