DOI QR코드

DOI QR Code

GENERALIZED INT-SOFT SUBALGEBRAS OF BE-ALGEBRAS

SO, KEUM SOOK;KIM, YOUNG HEE

  • 투고 : 2015.11.18
  • 심사 : 2016.01.20
  • 발행 : 2016.05.30

초록

The notion of θ-generalized int-soft subalgebras of BE-algebras is introduced, and related properties are investigated. Relations between int-soft subalgebras and θ-generalized int-soft subalgebras are discussed, and characterizations of θ-generalized int-soft subalgebras are considered.

키워드

BE-algebra;subalgebra;(generalized) int-soft subalgebra

참고문헌

  1. S.S. Ahn and K.S. So, On ideals and upper sets in BE-algerbas, Sci. Math. Jpn. 68 (2008), 279-285.
  2. A.O. Atagüun and A. Sezgin, Soft substructures of rings, fields and modules, Comput. Math. Appl. 61 (2011), 592-601. https://doi.org/10.1016/j.camwa.2010.12.005
  3. 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. https://doi.org/10.1016/j.camwa.2004.10.036
  4. H.S. Kim and Y.H. Kim, On BE-algerbas, Sci. Math. Jpn. 66 (2007), 113-116.
  5. Y. Imai and K. iséki, On axiom systems of propositional calculi XIV, Proc. Japan Academy 42 (1966), 19-22. https://doi.org/10.3792/pja/1195522169
  6. K. Iséki, An algebra related with a propositional calculus, Proc. Japan Academy 42 (1966), 26-29. https://doi.org/10.3792/pja/1195522171
  7. Y.B. Jun and S.S. Ahn, Applications of soft sets in BE-algebras, Algebra 2013 (2013), Article ID 368962, 8 pages.
  8. P.K. Maji, R. Biswas and A.R. Roy, Soft set theory, Comput. Math. Appl. 45 (2003), 555-562. https://doi.org/10.1016/S0898-1221(03)00016-6
  9. 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. https://doi.org/10.1016/S0898-1221(02)00216-X
  10. D. Molodtsov, Soft set theory - First results, Comput. Math. Appl. 37 (1999), 19-31. https://doi.org/10.1016/S0898-1221(99)00056-5
  11. J.H. Park and Y.H. Kim, Int-soft positive implicative filters in BE-algebras, J. Appl. Math. & Informatics 33 (2015), 459-467. https://doi.org/10.14317/jami.2015.459
  12. L.A. Zadeh, From circuit theory to system theory, Proc. Inst. Radio Eng. 50 (1962), 856-865.
  13. L.A. Zadeh, Fuzzy sets, Inform. Control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X
  14. L.A. Zadeh, Toward a generalized theory of uncertainty (GTU) - an outline, Inform. Sci. 172 (2005), 1-40. https://doi.org/10.1016/j.ins.2005.01.017