International Journal of Mathematics Trends and Technology
Volume 55 | Number 1 | Year 2018 | Article Id. IJMTT-V55P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P508
Molodtsov [1999] discussed Soft set theory, and introduced the concept of soft set as a new mathematical tool for dealing with uncertainties. Aygünoglu, and Aygün [2009] introduced fuzzy soft group, and verified few algebraic properties. Ahmad and Athar Kharal [2009] found some results on fuzzy soft sets. Aktas and Cagman [2007] investigated usual properties on soft sets and soft group. Kim and Yuan [1995] gave an application on fuzzy soft theory in decision making problems. Jun [2008] analyzed soft BCK/BCI-algebras. In this paper we introduce the notion of soft R-ideals and a-idealistic soft BCI-algebras, and then investigate their basic properties. Using soft sets, we give characterizations of (fuzzy) R-ideals in BCI algebras. We provide relations between fuzzy R-ideals and R-idealistic soft BCI-algebras.
[1] Aygünoglu, A., Aygün, H., Introduction to fuzzy soft groups, Computers and Mathematics with Applications 58,(2009) 1279_1286
[2] Ahmad, B., and Athar Kharal, On Fuzzy Soft Sets, Advances in Fuzzy Systems, (2009).
[3] Aktas. H and Cagman, N., Soft sets and soft group, Information Science, Volume 177, (2007), 2726-2735.
[4] Ghosh, S., Fuzzy k-ideals of semirings, Fuzzy sets and systems, 95(1998),103-108.
[5] Jun, Y.B., Soft BCK/BCI-algebras, Compute. Math, Appl. 56 (2008) 1408-1413.
[6] Jun, Y.B., and Park, C.H., Applications of soft sets in ideal theory of BCK/BCI-algebras, Inform, Sci. 178 (2008) 2466-2475
[7] Kim, C.B., and Park, M., k-fuzzy ideals in semirings, Fuzzy sets and systems, Volume 81, (1996),281-286.
[8] Klir, G.J., and Yuan, B., Fuzzy sets and fuzzy logic theory and applications, PretticeHelltic, New Jersey (1995).
[9] Maji, P.K., Roy, A.R., and Biswas,R., An application of soft sets in a decision making problem, Compute. Math. Appl. 44 (2002) 1077-1083
[10] Maji,P.K.,Roy,A.R.,and Biswas,R., Soft set theory, Compute.Math.Appl.45 (2003), 555-562.
[11] Molodtsov, D., Soft set theory - First results, Compute. Math, Appl. 37 (1999) 19-31.
[12] Mukherjee, T.K., and Sen, M.K., Rings with chain conditions, Fuzzy sets and systems, Volume 39, (1991),117-123.
[13] Tang, J., and Zhang, X., Product operations in the category of L-fuzzy groups, Journal of Fuzzy Math. Volume 9, (2001), 1-10.
[14] Zadeh, L.A., Fuzzy sets, Inform. Control, Volume 8, (1965), 338-353.
S. Thiruveni, A. Solairaju, "New Structures of Fuzzy Soft R-Ideal and R-Idealistic Soft Bci-Algebra," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 1, pp. 59-65, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P508
PDF 
Abstract 
Keywords 
References 
Citation