Open Access
Subscription Access
Open Access
Subscription Access
Soft Set and Soft Group from Classical View Point
Subscribe/Renew Journal
It is shown that a soft set can be represented as a crisp set of soft elements and a soft group as a ordinary group of soft elements. From this view point it is immediate that soft group share the properties of ordinary group. Also using soft elements the definitions of soft co-sets, soft homomorphism and cyclic soft groups are presented and their properties are studied.
Keywords
Soft Element, Soft Group, Soft Homomorphism, Soft Quotient Group.
Subscription
Login to verify subscription
User
Font Size
Information
- M.Akram, S.Shahzadi, Neutrosophic Soft graphss with application,, Journal of Intelligence and Fuzzy Systems, (2007), 2726-2735.
- H. Aktas and N. Cagman, Soft sets and soft groups, Information Sciences 177 (2007), 27262735.
- H. Aktas and F. Ozlu, Cyclic Soft Groups and Their Applications on Groups, Scientic World Journal (2014).
- M.I. Ali, F. Feng, X.Y. Liu, W.K. Min and M. Shabir, On some new operations in soft set theory, Computers and Mathematics with Applications, (2008), 2621-2628.
- Muhammad Aslam, Saqib Mazher Qurashi, Some contributions to soft groups, Annals of Fuzzy Mathematics and Informatics 4 (2012), 177-195.
- A. Aygunoiglu and H. Aygun, Introduction to fuzzy soft groups, Computers and Mathematics with Applications 58 (2009), 1279-1286.
- 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.
- Feng Feng, Xiaoyan Liu, Violeta Leoreanu-Fotea, Young Bae Jun , Soft sets and soft rough sets, Information Sciences 181 (2011), 1125-1137.
- Cheng-Fu Yang, A note on Soft Set Theory, Computers and Mathematics with Applications,45 (2003), 555-562.
- Y.B.Jun, C.H.Park Applications of soft sets in ideal theory of BCK/BCI-algebra, Information sciences 178 (2008), 2466-2475.
- Y.B.Jun, C.H.Park Applications of soft sets in Hilbert algebra, Iranian Journal Fuzzy Systems, 6 (2009), 55-86.
- Y.B.Jun, K.J.Lee, A.Khan, Soft ordered semigroups, Mathematical Logic Quarterly, 56 (2010), 42-50.
- Y.B.Jun, K.J.Lee, C.H.Park, Soft Set Theory applied to commutative ideals, in BCK algebras, Journal of Applied Mathematics Informatices, 26 (2008), 707-720.
- Y.B.Jun, K.J.Lee, C.H.Park, Soft Set Theory applied to ideal in d-algebra,, Computers and Mathematics with Applications 57 (2009), 367-378.
- Z.Li, N.Xie, G.Wen, Soft covering and their parameter reduction, Applied Soft Computing, 31 (2015), 48-60.
- P.K.Maji, R. Biswas and A.R.Roy, Soft Set Theory, Computers and mathematics with Applications, 45 (2003), 555-562.
- 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.
- D. Molodtsov, Soft set theory - First results, Computers and mathematics with Applications, 37(4/5) (1999), 19-31.
- Sk Nazmul and Syamal Kumar Samanta, Soft topological soft groups, Mathematical sciences, Original Research, Open Access (2012).
- Z. Pawlak, Hard set and Soft set, ICS Research Report, Institute of Computer Sciences, Poland, (1994).
Abstract Views: 343
PDF Views: 2