Fuzzy Soft Boolean Rings

Main Article Content

Gadde Sambasiva Rao, D. Ramesh, Aiyared Iampan, B. Satyanarayana

Abstract

This article introduces the idea of (fuzzy soft Boolean rings) FSBRs and investigates their algebraic properties. The concepts of fuzzy soft ideals (FSIs) of FSBRs, and idealistic fuzzy soft Boolean rings (IFSBRs) are then defined and discussed.

Article Details

References

  1. U. Acar, F. Koyuncu, B. Tanay, Soft Sets and Soft Rings, Computers Math. Appl. 59 (2010), 3458-3463. https://doi.org/10.1016/j.camwa.2010.03.034.
  2. B. Ahmad, A. Kharal, On Fuzzy Soft Sets, Adv. Fuzzy Syst. 2009 (2009), 586507. https://doi.org/10.1155/2009/586507.
  3. H. Aktaş, N. Ça˜gman, Soft Sets and Soft Groups, Inform. Sci. 177 (2007), 2726-2735. https://doi.org/10.1016/j.ins.2006.12.008.
  4. V.N. Dixit, R. Kumar, N. Ajmal, On Fuzzy Rings, Fuzzy Sets Syst. 49 (1992), 205-213. https://doi.org/10.1016/0165-0114(92)90325-x.
  5. W. Liu, Fuzzy Invariant Subgroups and Fuzzy Ideals, Fuzzy Sets Syst. 8 (1982), 133-139. https://doi.org/10.1016/0165-0114(82)90003-3.
  6. P.K. Maji, R. Biswas, A.R. Roy, Fuzzy Soft Sets, J. Fuzzy Math. 9 (2001), 589-602.
  7. P.K. Maji, R. Biswas, A.R. Roy, Soft Set Theory, Computers Math. Appl. 45 (2003), 555-562. https://doi.org/10.1016/s0898-1221(03)00016-6.
  8. D. Molodtsov, Soft Set Theory–First Results, Computers Math. Appl. 37 (1999), 19-31. https://doi.org/10.1016/s0898-1221(99)00056-5.
  9. D. Pei, D. Miao, From Soft Sets to Information Systems, in: 2005 IEEE International Conference on Granular Computing, IEEE, Beijing, China, 2005: pp. 617-621. https://doi.org/10.1109/GRC.2005.1547365.