Research Article

SOFT SETS AND SOFT BCH-ALGEBRAS

Volume: 39 Number: 2 February 1, 2010
  • O. Kazanci
  • S. Yilmaz
  • S. Yamak
EN TR

SOFT SETS AND SOFT BCH-ALGEBRAS

Abstract

In this paper, the concept of soft BCH-algebra is introduced and in the meantime, some of their properties and structural characteristics are discussed and studied. The bi-intersection, extended intersection, restricted union, ∨-union, ∧-intersection and cartesian product of the family of soft BCH-algebras and soft BCH-subalgebras are established. Also, the theorems of homomorphic image and homomorphic pre-image of soft sets are given. Moreover, the notion of soft BCHhomomorphism is introduced and its basic properties are studied.

Keywords

References

  1. Ahmad, B. On classification of BCH-algebras, Math. Japon. 35, 801–804, 1990.
  2. Irfan Ali, M., Feng, F., Liu, X., Minc, W. K. and Shabir, M. On some new operations in soft set theory, Computers and Mathematics with Applications 57, 1547–1553, 2009.
  3. Akta¸s, H. and C¸ a˘gman, N. Soft sets and soft groups, Information Sciences 177, 2726–2735, 2007. [4] Chaudhry, M. A. and Fakhar-Ud-Din, H. Ideals and filters in BCH-algebras, Math. Japon. 44, 101–111, 1996.
  4. Chaudhry, M. A. On BCH-algebras, Math. Japon. 36, 665–676, 1991.
  5. Chaudhary, M. A. and Fakhar-Ud-Din, H. On some classes of BCH-algebras, Int. J. Math. Math. Sci. 27, 1739–1750, 2003.
  6. Chen, D., Tsang, E. C. C., Yeung, D. S. and Wang, X. The parameterization reduction of soft sets and its applications, Computers and Mathematics with Applications 49, 757–763, 2005. [8] Dudek, W. A. and Thomys, J. On decompositions of BCH-algebras, Math. Japon. 35, 1131– 1138, 1990.
  7. Feng, F., Jun, Y. B. and Zhao, X. Soft semirings, Computers and Mathematics with Appli- cations 56, 2621–2628, 2008.
  8. Hu, Q. P. and Li, X. On BCH-algebras, Math. Seminar Notes 11, 313–320, 1983.

Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

O. Kazanci This is me

S. Yilmaz This is me

S. Yamak This is me

Publication Date

February 1, 2010

Submission Date

May 12, 2014

Acceptance Date

-

Published in Issue

Year 2010 Volume: 39 Number: 2

APA
Kazanci, O., Yilmaz, S., & Yamak, S. (2010). SOFT SETS AND SOFT BCH-ALGEBRAS. Hacettepe Journal of Mathematics and Statistics, 39(2), 205-217. https://izlik.org/JA84XW25UA
AMA
1.Kazanci O, Yilmaz S, Yamak S. SOFT SETS AND SOFT BCH-ALGEBRAS. Hacettepe Journal of Mathematics and Statistics. 2010;39(2):205-217. https://izlik.org/JA84XW25UA
Chicago
Kazanci, O., S. Yilmaz, and S. Yamak. 2010. “SOFT SETS AND SOFT BCH-ALGEBRAS”. Hacettepe Journal of Mathematics and Statistics 39 (2): 205-17. https://izlik.org/JA84XW25UA.
EndNote
Kazanci O, Yilmaz S, Yamak S (February 1, 2010) SOFT SETS AND SOFT BCH-ALGEBRAS. Hacettepe Journal of Mathematics and Statistics 39 2 205–217.
IEEE
[1]O. Kazanci, S. Yilmaz, and S. Yamak, “SOFT SETS AND SOFT BCH-ALGEBRAS”, Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 2, pp. 205–217, Feb. 2010, [Online]. Available: https://izlik.org/JA84XW25UA
ISNAD
Kazanci, O. - Yilmaz, S. - Yamak, S. “SOFT SETS AND SOFT BCH-ALGEBRAS”. Hacettepe Journal of Mathematics and Statistics 39/2 (February 1, 2010): 205-217. https://izlik.org/JA84XW25UA.
JAMA
1.Kazanci O, Yilmaz S, Yamak S. SOFT SETS AND SOFT BCH-ALGEBRAS. Hacettepe Journal of Mathematics and Statistics. 2010;39:205–217.
MLA
Kazanci, O., et al. “SOFT SETS AND SOFT BCH-ALGEBRAS”. Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 2, Feb. 2010, pp. 205-17, https://izlik.org/JA84XW25UA.
Vancouver
1.O. Kazanci, S. Yilmaz, S. Yamak. SOFT SETS AND SOFT BCH-ALGEBRAS. Hacettepe Journal of Mathematics and Statistics [Internet]. 2010 Feb. 1;39(2):205-17. Available from: https://izlik.org/JA84XW25UA