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On New Decompositions Via Soft Sets

Year 2014, Volume: 3 Issue: 6 , 95 - 104 , 01.06.2014
https://izlik.org/JA73RM33HF

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
https://izlik.org/JA73RM33HF

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
Authors

Ahu Acikgoz This is me

Nihal Arabacioglu Tas This is me

Publication Date June 1, 2014
IZ https://izlik.org/JA73RM33HF
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. https://izlik.org/JA73RM33HF
AMA 1.Acikgoz A, Tas NA. On New Decompositions Via Soft Sets. JNRS. 2014;3(6):95-104. https://izlik.org/JA73RM33HF
Chicago Acikgoz, Ahu, and Nihal Arabacioglu Tas. 2014. “On New Decompositions Via Soft Sets”. Journal of New Results in Science 3 (6): 95-104. https://izlik.org/JA73RM33HF.
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 [1]A. Acikgoz and N. A. Tas, “On New Decompositions Via Soft Sets”, JNRS, vol. 3, no. 6, pp. 95–104, June 2014, [Online]. Available: https://izlik.org/JA73RM33HF
ISNAD Acikgoz, Ahu - Tas, Nihal Arabacioglu. “On New Decompositions Via Soft Sets”. Journal of New Results in Science 3/6 (June 1, 2014): 95-104. https://izlik.org/JA73RM33HF.
JAMA 1.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, June 2014, pp. 95-104, https://izlik.org/JA73RM33HF.
Vancouver 1.Ahu Acikgoz, Nihal Arabacioglu Tas. On New Decompositions Via Soft Sets. JNRS [Internet]. 2014 Jun. 1;3(6):95-104. Available from: https://izlik.org/JA73RM33HF

 

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