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Paper Information

Journal:   IRANIAN JOURNAL OF FUZZY SYSTEMS   JUNE 2009 , Volume 6 , Number 2; Page(s) 75 To 86.
 
Paper: 

APPLICATIONS OF SOFT SETS IN HILBERT ALGEBRAS

 
 
Author(s):  JUN Y.B., PARK C.H.*
 
* DEPARTMENT OF MATHEMATICS, UNIVERSITY OF ULSAN, ULSAN 680-749, KOREA
 
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.

 
Keyword(s): HILBERT ALGBRA, SOFT SET, SOFT HILBERT ALGEBRA, SOFT HILBERT ABYSMAL ALGEBRA, SOFT HILBERT DEDUCTIVE ALGEBRA, (TRVIAL, WHOLE) SOFT HILBERT ALGEBRA, SOFT SUBALGEBRA, SOFT ABYSM, SOFT DEDUCTIVE SYSTEM
 
 
References: 
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Citations: 
 
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APA: Copy

JUN, Y., & PARK, C. (2009). APPLICATIONS OF SOFT SETS IN HILBERT ALGEBRAS. IRANIAN JOURNAL OF FUZZY SYSTEMS, 6(2), 75-86. https://www.sid.ir/en/journal/ViewPaper.aspx?id=156465



Vancouver: Copy

JUN Y.B., PARK C.H.. APPLICATIONS OF SOFT SETS IN HILBERT ALGEBRAS. IRANIAN JOURNAL OF FUZZY SYSTEMS. 2009 [cited 2021September27];6(2):75-86. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=156465



IEEE: Copy

JUN, Y., PARK, C., 2009. APPLICATIONS OF SOFT SETS IN HILBERT ALGEBRAS. IRANIAN JOURNAL OF FUZZY SYSTEMS, [online] 6(2), pp.75-86. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=156465.



 
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