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SOFT WS-ALGEBRAS
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 Title & Authors
SOFT WS-ALGEBRAS
Park, Chul-Hwan; Jun, Young-Bae; Ozturk, Mehmet Ali;
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 Abstract
Molodtsov [8] 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 subtraction algebras. The notion of soft WS-algebras, soft subalgebras and soft deductive systems are introduced, and their basic properties are derived.
 Keywords
WS-algebra; soft set;soft WS-algebra;soft WS*-algebra;(trivial, whole) soft WS-algebra;soft subalgebra;soft deductive system;
 Language
English
 Cited by
1.
INTERSECTIONAL SOFT SETS AND APPLICATIONS TO BCK/BCI-ALGEBRAS,;;;

대한수학회논문집, 2013. vol.28. 1, pp.11-24 crossref(new window)
2.
UNION-SOFT SETS WITH APPLICATIONS IN BCK/BCI-ALGEBRAS,;

대한수학회보, 2013. vol.50. 6, pp.1937-1956 crossref(new window)
3.
INTERSECTIONAL SOFT SETS APPLIED TO SUBALGEBRAS/IDEALS IN BCK/BCI-ALGEBRAS,;;;

Advanced Studies in Contemporary Mathematics, 2013. vol.23. 3, pp.507-522
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Hypervector Spaces Based on Intersectional Soft Sets, Abstract and Applied Analysis, 2014, 2014, 1  crossref(new windwow)
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INTERSECTIONAL SOFT SETS AND APPLICATIONS TO BCK/BCI-ALGEBRAS, Communications of the Korean Mathematical Society, 2013, 28, 1, 11  crossref(new windwow)
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 References
1.
J. C. Abbott, Sets, Lattices and Boolean Algebras, Allyn and Bacon, Boston 1969

2.
D. Chen, E. C. C. Tsang, D. S. Yeung, and X. Wang, The parametrization reduction of soft sets and its applications, Comput. Math. Appl. 49 (2005), 757-763 crossref(new window)

3.
Y. B. Jun, Y. H. Kim, and K. J. Lee, Weak forms of subtraction algebras, Bull. Korean Math. Soc. 45 (2008), no. 3, 419-426 crossref(new window)

4.
Y. B. Jun, H. S. Kim, and E. H. Roh, Ideal theory of subtraction algebras, Sci. Math. Jpn. 61 (2005), no. 3, 459-464

5.
Y. B. Jun, C. H. Park, and E. H. Roh, Order systems, ideals and right fixed maps of subtraction algebras, Commun. Korean Math. Soc. 23 (2008), no. 1, 1-10 crossref(new window)

6.
P. K. Maji, R. Biswas, and A. R. Roy, Soft set theory, Comput. Math. Appl. 45 (2003), 555-562 crossref(new window)

7.
P. K. Maji, A. R. Roy, and R. Biswas, An application of soft sets in a decision making problem, Comput. Math. Appl. 44 (2002), 1077-1083 crossref(new window)

8.
D. Molodtsov, Soft set theory - First results, Comput. Math. Appl. 37 (1999), 19-31 crossref(new window)

9.
L. A. Zadeh, Fuzzy sets, Inform. Control 8 (1965), 338-353 crossref(new window)