Browse > Article
http://dx.doi.org/10.14317/jami.2015.459

INT-SOFT POSITIVE IMPLICATIVE FILTERS IN BE-ALGEBRAS  

PARK, JUNG HEE (Department of Mathematics, Chungbuk National University)
KIM, YOUNG HEE (Department of Mathematics, Chungbuk National University)
Publication Information
Journal of applied mathematics & informatics / v.33, no.3_4, 2015 , pp. 459-467 More about this Journal
Abstract
The notion of int-soft implicative filters of a BE-algebra is introduced, and related properties are investigated. The problem of clas- sifying int-soft positive implicative by their γ-inclusive filter is solved. We provide conditions for a soft set to be an int-soft filter. We make a new int-soft implicative filter from old one.
Keywords
BE-algebra; (implicative) filter; int-soft filter; int-soft (n-fold) implicative filter;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 H.S. Kim and Y.H. Kim, On BE-algerbas, Sci. Math. Jpn. 66 (2007), no. 1, 113-116.
2 Y.H. Kim, On medial B-algebras, J. Appl. Math. & Informatics 32 (2014), 849 - 856   DOI
3 P.K. Maji, R. Biswas and A.R. Roy, Soft set theory, Comput. Math. Appl. 45 (2003) 555-562.   DOI
4 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.   DOI
5 D. Molodtsov, Soft set theory - First results, Comput. Math. Appl. 37 (1999) 19-31.   DOI
6 S.T. Park and S.S. Ahn, On n-fold implicative vague filters in BE-algebras, J. Korean Soc. Math. Educ. Ser. B: Pure Appl. Math. 19 (2012), 127-136.
7 K.S. So and Y.H. Kim, Mirror d-Algebras, J. Appl. Math. & Informatics 31 (2013), 559 - 564   DOI
8 L.A. Zadeh, From circuit theory to system theory, Proc. Inst. Radio Eng. 50 (1962) 856-865.
9 L.A. Zadeh, Fuzzy sets, Inform. Control 8 (1965) 338-353.   DOI
10 L.A. Zadeh, Toward a generalized theory of uncertainty (GTU) - an outline, Inform. Sci. 172 (2005) 1-40.   DOI
11 S.S. Ahn, N.O. Alshehri and Y.B. Jun, Int-soft filters of BE-algebras, Discrete Dynamics in Nature and Society, 2013 (2013), Article ID 602959, 8 pages.
12 S.S. Ahn and K.S. So, On ideals and upper sets in BE-algerbas, Sci. Math. Jpn. 68 (2008), 279-285.
13 Y. Imai and K iséki, On axiom systems of propositional calculi XIV, Proc. Japan Academy 42 (1966), 19-22.   DOI
14 K. iséki, An algebra related with a propositional calculus, Proc. Japan Academy 42 (1966), 26-29.   DOI
15 Y.B. Jun and S.S. Ahn, Applications of soft sets in BE-algebras, Algebra, Volume 2013, Article ID 368962, 8 pages.
16 Y.B. Jun, N.O. Alshehri and S.S. Ahn, Int-soft implicative filters in BE-algebras, J. Com-putational Analysis and Applications, submitted.