Research Article
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The R<sub>0</sub> and R<sub>1</sub> Properties in Fuzzy Soft Topological Spaces

Year 2018, Issue: 24, 50 - 58, 14.08.2018

Abstract

The purpose of this paper is to introduce and study some new properties so-called
fuzzy soft Ri (for short, FSRi
, i = 0, 1) on fuzzy soft spaces by using quasi-coincident relation for
fuzzy soft points, we get some characterizations and properties of them. Also, the relationships of
these properties in fuzzy soft topologies which are constructed from crisp topology and soft topology
over X and vice versa are studied with some illustrative examples.

References

  • [1] S. Atmaca and I. Zorlutuna, On fuzzy soft topological spaces, Ann. Fuzzy Math. Inform. 5(2) (2013) 377-386.
  • [2] C. L. Chang, Fuzzy topological spaces, J. of Math. analysis and Appl. 24(1986) 182-190.
  • [3] ˙I. Demir and O. Ozbakır, ¨ Some properties of fuzzy proximity spaces, The Scientific World Journal, (2015), ID 752634, 10 PP.
  • [4] A. Kandil, O. A. Tantawy, S. A. El-Sheikh and A. M. Abd El-latif, Some fuzzy toplogical properties based on fuzzy semi-open soft sets, South Asian J. of Math. 4(2014) 154-169.
  • [5] A. Kharal and B. Ahmad, Mappings on fuzzy soft classes, Adv. Fuzzy Syst. 2009, Artical ID 407890, 6 pp.
  • [6] P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Comp. Math. Appl. 45 (2003) 555-562.
  • [7] P. K. Maji, R. Biswas and A. R. Roy, Fuzzy soft sets, J. Fuzzy Math. 9(3) (2001) 589-602.
  • [8] D. Molodtsov, Soft set theory-first results, Comp. Math. Appl. 37 (1999) 19-31.
  • [9] S. Roy and T. K. Samanta, A note on fuzzy soft topological spaces, Ann. Fuzzy Math. Inform. 3(2) (2011) 305-311.
  • [10] S. Saleh and Amani Al-Salemi, Some new results on fuzzy soft spaces, Accepted (2018).
  • [11] M. Shabir and M. Naz, On soft topological spaces, Comp. Math. Appl. 61 (2011) 1786-1799.
  • [12] B. Tanay and M. B. Kandemir, Topological structures of fuzzy soft sets, Comput. Math. Appl. 61 (2011) 412-418.
  • [13] L. A. Zadeh, Fuzzy Sets, Information and Control 8 (1965) 338-353.
Year 2018, Issue: 24, 50 - 58, 14.08.2018

Abstract

References

  • [1] S. Atmaca and I. Zorlutuna, On fuzzy soft topological spaces, Ann. Fuzzy Math. Inform. 5(2) (2013) 377-386.
  • [2] C. L. Chang, Fuzzy topological spaces, J. of Math. analysis and Appl. 24(1986) 182-190.
  • [3] ˙I. Demir and O. Ozbakır, ¨ Some properties of fuzzy proximity spaces, The Scientific World Journal, (2015), ID 752634, 10 PP.
  • [4] A. Kandil, O. A. Tantawy, S. A. El-Sheikh and A. M. Abd El-latif, Some fuzzy toplogical properties based on fuzzy semi-open soft sets, South Asian J. of Math. 4(2014) 154-169.
  • [5] A. Kharal and B. Ahmad, Mappings on fuzzy soft classes, Adv. Fuzzy Syst. 2009, Artical ID 407890, 6 pp.
  • [6] P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Comp. Math. Appl. 45 (2003) 555-562.
  • [7] P. K. Maji, R. Biswas and A. R. Roy, Fuzzy soft sets, J. Fuzzy Math. 9(3) (2001) 589-602.
  • [8] D. Molodtsov, Soft set theory-first results, Comp. Math. Appl. 37 (1999) 19-31.
  • [9] S. Roy and T. K. Samanta, A note on fuzzy soft topological spaces, Ann. Fuzzy Math. Inform. 3(2) (2011) 305-311.
  • [10] S. Saleh and Amani Al-Salemi, Some new results on fuzzy soft spaces, Accepted (2018).
  • [11] M. Shabir and M. Naz, On soft topological spaces, Comp. Math. Appl. 61 (2011) 1786-1799.
  • [12] B. Tanay and M. B. Kandemir, Topological structures of fuzzy soft sets, Comput. Math. Appl. 61 (2011) 412-418.
  • [13] L. A. Zadeh, Fuzzy Sets, Information and Control 8 (1965) 338-353.
There are 13 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Salem Al-wosabi (s. Saleh) This is me

Amani Salemi This is me

Publication Date August 14, 2018
Submission Date May 3, 2018
Published in Issue Year 2018 Issue: 24

Cite

APA Al-wosabi (s. Saleh), S., & Salemi, A. (2018). The R0 and R1 Properties in Fuzzy Soft Topological Spaces. Journal of New Theory(24), 50-58.
AMA Al-wosabi (s. Saleh) S, Salemi A. The R0 and R1 Properties in Fuzzy Soft Topological Spaces. JNT. August 2018;(24):50-58.
Chicago Al-wosabi (s. Saleh), Salem, and Amani Salemi. “The R0 and R1 Properties in Fuzzy Soft Topological Spaces”. Journal of New Theory, no. 24 (August 2018): 50-58.
EndNote Al-wosabi (s. Saleh) S, Salemi A (August 1, 2018) The R0 and R1 Properties in Fuzzy Soft Topological Spaces. Journal of New Theory 24 50–58.
IEEE S. Al-wosabi (s. Saleh) and A. Salemi, “The R0 and R1 Properties in Fuzzy Soft Topological Spaces”, JNT, no. 24, pp. 50–58, August 2018.
ISNAD Al-wosabi (s. Saleh), Salem - Salemi, Amani. “The R0 and R1 Properties in Fuzzy Soft Topological Spaces”. Journal of New Theory 24 (August 2018), 50-58.
JAMA Al-wosabi (s. Saleh) S, Salemi A. The R0 and R1 Properties in Fuzzy Soft Topological Spaces. JNT. 2018;:50–58.
MLA Al-wosabi (s. Saleh), Salem and Amani Salemi. “The R0 and R1 Properties in Fuzzy Soft Topological Spaces”. Journal of New Theory, no. 24, 2018, pp. 50-58.
Vancouver Al-wosabi (s. Saleh) S, Salemi A. The R0 and R1 Properties in Fuzzy Soft Topological Spaces. JNT. 2018(24):50-8.


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