Soft K(G)-algebras

Main Article Content

Ali Hasan Handam


The concept of soft sets, introduced by Molodtsov is a mathematical tool for dealing with uncertainties, that is free from the difficulties that have troubled the traditional theoretical approaches. In this paper, we apply the notion of the soft sets of Molodtsov to the theory of K(G)-algebras. The notion of soft K(G)-algebras, idealistic soft K(G)-algebras, soft subalgebras and soft ideals are introduced, and their basic properties are investigated.

Article Details

How to Cite
Handam, A. H. (2012). Soft K(G)-algebras. Tamkang Journal of Mathematics, 43(2), 203–213.
Author Biography

Ali Hasan Handam, Department ofMathematics, Al al-Bayt University, P.O.Box: 130095, AlMafraq, Jordan.

Department of Mathematics

Al al-Bayt University.


A. R. Roy and P. K. Maji, A fuzzy soft set theoretic approach to decision making problems, Journal of Computational and Applied Mathematics 203 (2007), 412--418.

C. H. Park, Y. B. Jun and M. A. Ozturk, Soft WS-algebra, Commun. Korean Math. Soc. 23 (3) (2008),313-324.

D. Chen, E. C. C. Tsang, D. S. Yeung and X. Wang, The parameterization reduction of soft sets and its applications, Computers and Mathematics with Applications 49 (2005), 757--763.

D. Molodtsov, Soft set theory-first results, Computers and Mathematics with Applications 37 (1999), 19--31.

F. Feng, Y. B. Jun and X. Zhao, Soft semirings, Computers and Mathematics with Applications 56 (2008), 2621--2628.

H. Aktacs and N. Caugman, Soft sets and soft groups, Information Sciences 177 (2007), 2726--2735.

J. Neggers and H. S. Kim, On B-algebras, Matematicki Vesnik 54 (2002), 21-29.

K. H. Dar, On K-homomorphisms of K-algebras, International Mathematical Forum 2(46) (2007),2283 - 2293.

K. H. Dar and M. Akram, On a K-algebra built on a group, SEA Bull. Math 29 (2005), 1-9.

K. H. Dar and M. Akram, On subclasses of K(G)-algebras, Annals of University of Craiova, Math. Comp Sci. Ser 33 (2006), 235-240.

K. Iseki, An algebra related with a propositional calculus, Proc. Japan Acad 42 (1966), 26-29.

M. Akram, K. H. Dar, Y. B. Jun and E. H. Roh, Fuzzy structures of K(G)-algebra, Southeast Asian Bulletin of Mathematics 31(4)(2007), 625-637.

M. Irfan Ali, F. Feng, X. Liu, W. K. Minc and M. Shabir, On some new operations in soft set theory, Computers and Mathematics with Applications 57 (2009), 1547--1553.

O. Kazanci ,S. Yi lmaz and S. Yamak, Soft sets and soft BCH-algebras, Hacettepe Journal of Mathematics and Statistics, 39 (2) (2010), 205 -- 217.

P. K. Maji, A. R. Roy and R. Biswas, An application of soft sets in a decision making problem, Computers and Mathematics with Applications 44 (2002), 1077--1083.

P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Computers and Mathematics with Applications 45 (2003), 555-562.

Q. P. Hu and X. Li, On BCH-algebras, Math. Seminar Notes 11 (1983), 313-320.

Y. B. Jun, Soft BCK/BCI-algebras, Computers and Mathematics with Applications 56 (2008), 1408--1413.

Y. B. Jun and C. H. Park, Applications of soft sets in ideal theory of BCK/BCI-algebras, Information Sciences 178 (2008), 2466--2475.

Y. B. Jun, K. J. Lee and M. A. Ozturk, Soft BCC-algebra, J. Appl. Math. & Informatics, 27(5-6)(2009), 1293 -- 1305.

Y. Imai and K. Iseki, On axiom system of propositional calculi XIV, Proc., Japonica Acad 42 (1966), 19-22.