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On New Decompositions Via Soft Sets

Year 2014, Volume: 3 Issue: 6, 95 - 104, 01.06.2014

Abstract

In present paper we define some soft operationscsuch as B - soft set, Dαsome properties of defined soft operations and show implicationsof each other. Also we introduce (τ1, τ2) - C - soft cts, (τ1, τ2) - B cKeywords -B - soft set, Dα- soft set, C - soft set, (τ1, τ2) C - soft cts, (τ1, τ2) - B - soft

References

  • M.I.Ali, F.Feng, X.Liu, W.K.Min, M.Shabir, On some new operations in soft set theory, Comput. Math. Appl., 57, 1547-1553, 2009.
  • K.Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87-96, 1986.
  • W.L.Gau, D.J.Buehrer, Vague sets, IEEE Trans. System Man Cybernet, 23(2), 610-614, 1993.
  • S.Hussain, B.Ahmad, Some properties of soft topological space, Comput. Math. Appl., 62, 4058-4067, 2011.
  • A.Kandil, O.A.E.Tantawy, S.A.El-Sheikh, A.M.ABD El-Latif, γ - operation and decompositions of some forms of soft continuity in soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 7(2), 181-196, 2014.
  • P.K.Maji, R.Biswas, A.R.Roy, Soft set theory, Comput. Math. Appl., 45, 555-562, 200 P.K.Maji, R.Biswas, A.R.Roy, Fuzzy soft sets, The J. of F. Math., 9, 589-602, 2001.
  • P.K.Maji, R.Biswas, A.R.Roy, Intuitionistic fuzzy soft sets, The J. of F. Math., 9, 677-692, 2001.
  • D.Molodtsov, Soft set theory - First results, Comput. Math. Appl., 37, 19-31, 1999.
  • Z.Pawlak, Rough sets, Int. J. Comput. Sc.,11, 341-356, 1982.
  • M.Shabir, M.Naz, On soft topological spaces, Comput. Math. Appl., 61, 1786-1799, 20
  • L.A.Zadeh, Fuzzy sets, Infor. and Control, 8, 338-353, 1965.
  • I.Zorlutuna, M.Akdag, W.K.Min, S.Atmaca, Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 3, 171-185, 2012.
Year 2014, Volume: 3 Issue: 6, 95 - 104, 01.06.2014

Abstract

References

  • M.I.Ali, F.Feng, X.Liu, W.K.Min, M.Shabir, On some new operations in soft set theory, Comput. Math. Appl., 57, 1547-1553, 2009.
  • K.Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87-96, 1986.
  • W.L.Gau, D.J.Buehrer, Vague sets, IEEE Trans. System Man Cybernet, 23(2), 610-614, 1993.
  • S.Hussain, B.Ahmad, Some properties of soft topological space, Comput. Math. Appl., 62, 4058-4067, 2011.
  • A.Kandil, O.A.E.Tantawy, S.A.El-Sheikh, A.M.ABD El-Latif, γ - operation and decompositions of some forms of soft continuity in soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 7(2), 181-196, 2014.
  • P.K.Maji, R.Biswas, A.R.Roy, Soft set theory, Comput. Math. Appl., 45, 555-562, 200 P.K.Maji, R.Biswas, A.R.Roy, Fuzzy soft sets, The J. of F. Math., 9, 589-602, 2001.
  • P.K.Maji, R.Biswas, A.R.Roy, Intuitionistic fuzzy soft sets, The J. of F. Math., 9, 677-692, 2001.
  • D.Molodtsov, Soft set theory - First results, Comput. Math. Appl., 37, 19-31, 1999.
  • Z.Pawlak, Rough sets, Int. J. Comput. Sc.,11, 341-356, 1982.
  • M.Shabir, M.Naz, On soft topological spaces, Comput. Math. Appl., 61, 1786-1799, 20
  • L.A.Zadeh, Fuzzy sets, Infor. and Control, 8, 338-353, 1965.
  • I.Zorlutuna, M.Akdag, W.K.Min, S.Atmaca, Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 3, 171-185, 2012.
There are 12 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Ahu Acikgoz This is me

Nihal Arabacioglu Tas This is me

Publication Date June 1, 2014
Published in Issue Year 2014 Volume: 3 Issue: 6

Cite

APA Acikgoz, A., & Tas, N. A. (2014). On New Decompositions Via Soft Sets. Journal of New Results in Science, 3(6), 95-104.
AMA Acikgoz A, Tas NA. On New Decompositions Via Soft Sets. JNRS. June 2014;3(6):95-104.
Chicago Acikgoz, Ahu, and Nihal Arabacioglu Tas. “On New Decompositions Via Soft Sets”. Journal of New Results in Science 3, no. 6 (June 2014): 95-104.
EndNote Acikgoz A, Tas NA (June 1, 2014) On New Decompositions Via Soft Sets. Journal of New Results in Science 3 6 95–104.
IEEE A. Acikgoz and N. A. Tas, “On New Decompositions Via Soft Sets”, JNRS, vol. 3, no. 6, pp. 95–104, 2014.
ISNAD Acikgoz, Ahu - Tas, Nihal Arabacioglu. “On New Decompositions Via Soft Sets”. Journal of New Results in Science 3/6 (June 2014), 95-104.
JAMA Acikgoz A, Tas NA. On New Decompositions Via Soft Sets. JNRS. 2014;3:95–104.
MLA Acikgoz, Ahu and Nihal Arabacioglu Tas. “On New Decompositions Via Soft Sets”. Journal of New Results in Science, vol. 3, no. 6, 2014, pp. 95-104.
Vancouver Acikgoz A, Tas NA. On New Decompositions Via Soft Sets. JNRS. 2014;3(6):95-104.


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