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NEAR SOFT GROUPOID

Year 2020, Volume: 2 Issue: 2, 35 - 39, 30.10.2020

Abstract

In this article, firstly some concepts on the near soft set obtained by combining the close set and the soft set are given. In the previous studies in the literature, the definition of soft element with binary operation in the set of all non-empty soft elements of a soft set and the definition of the concept of soft groupoid depending on the set of soft elements are given. In this study, starting from the concept of soft element, the concept of close soft groupoid is defined by using the close soft element with binary operation in the set of all non-empty soft close elements of a close soft set. In addition, properties related to the defined close soft groupoid are given with theorem and example.

References

  • [1] J.F.Peters, Near sets: Special Theory about nearness of objects, Fund. Informaticae . 75 (2007) 407-433.
  • [2] J.F.Peters, Near sets: General Theory about nearness of objects, App.Math. Sci. 1 (2007) 2609-2629.
  • [3] P.K.Maji, R.Biswas, A.R.Roy, Soft set theory, Comput. Math.appl. 45 (2003) 555-562.
  • [4] D.Molodtsov, Soft set theory-¯rst results, Comput. Math.appl. 37 (1999) 19-31.
  • [5] F.Feng, C.Li, B.Davvaz, M.I.Ali, Soft sets combined with fuzzy sets and rough sets, Soft comput. 14 (2010) 899-911.
  • [6] N.Cagman, S.Karatas, S.Engino¸glu, M.I.Ali, Soft Topology, Computers and Mathematics with Applications 62 (2011) 351{358.
  • [7] H.Aktas,N.Cagman, Soft sets and soft groups, Inform. Sci. 177(2007) 2726-2735.
  • [8] D. Wardowski, On a soft mappingand its ¯xed points, Fixed point theory and Applications 182, (2013) 1-11.
  • [9] J. Ghosh, D.Mandal, T.K.Samanta, Soft group based on soft element, Jordan journal of mathematics and Statistics(JJMS) 9(2), (2016)141-159.
  • [10] J. Ghosh, T.K.Samanta, Soft set functions and soft set groups, Pure and Applied mathematics Letters, (2016)8-14.
  • [11] H. Tasbozan, I.Icen, N.Bag³rmaz, A.F. Ozcan, Soft sets and soft topology on nearness approximation spaces, Filomat, 13 (2017) 4117-4125.
Year 2020, Volume: 2 Issue: 2, 35 - 39, 30.10.2020

Abstract

References

  • [1] J.F.Peters, Near sets: Special Theory about nearness of objects, Fund. Informaticae . 75 (2007) 407-433.
  • [2] J.F.Peters, Near sets: General Theory about nearness of objects, App.Math. Sci. 1 (2007) 2609-2629.
  • [3] P.K.Maji, R.Biswas, A.R.Roy, Soft set theory, Comput. Math.appl. 45 (2003) 555-562.
  • [4] D.Molodtsov, Soft set theory-¯rst results, Comput. Math.appl. 37 (1999) 19-31.
  • [5] F.Feng, C.Li, B.Davvaz, M.I.Ali, Soft sets combined with fuzzy sets and rough sets, Soft comput. 14 (2010) 899-911.
  • [6] N.Cagman, S.Karatas, S.Engino¸glu, M.I.Ali, Soft Topology, Computers and Mathematics with Applications 62 (2011) 351{358.
  • [7] H.Aktas,N.Cagman, Soft sets and soft groups, Inform. Sci. 177(2007) 2726-2735.
  • [8] D. Wardowski, On a soft mappingand its ¯xed points, Fixed point theory and Applications 182, (2013) 1-11.
  • [9] J. Ghosh, D.Mandal, T.K.Samanta, Soft group based on soft element, Jordan journal of mathematics and Statistics(JJMS) 9(2), (2016)141-159.
  • [10] J. Ghosh, T.K.Samanta, Soft set functions and soft set groups, Pure and Applied mathematics Letters, (2016)8-14.
  • [11] H. Tasbozan, I.Icen, N.Bag³rmaz, A.F. Ozcan, Soft sets and soft topology on nearness approximation spaces, Filomat, 13 (2017) 4117-4125.
There are 11 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Kabul edilmiş makaleler
Authors

Hatice Taşbozan

Publication Date October 30, 2020
Acceptance Date January 25, 2021
Published in Issue Year 2020 Volume: 2 Issue: 2

Cite

APA Taşbozan, H. (2020). NEAR SOFT GROUPOID. Ikonion Journal of Mathematics, 2(2), 35-39.
AMA Taşbozan H. NEAR SOFT GROUPOID. ikjm. October 2020;2(2):35-39.
Chicago Taşbozan, Hatice. “NEAR SOFT GROUPOID”. Ikonion Journal of Mathematics 2, no. 2 (October 2020): 35-39.
EndNote Taşbozan H (October 1, 2020) NEAR SOFT GROUPOID. Ikonion Journal of Mathematics 2 2 35–39.
IEEE H. Taşbozan, “NEAR SOFT GROUPOID”, ikjm, vol. 2, no. 2, pp. 35–39, 2020.
ISNAD Taşbozan, Hatice. “NEAR SOFT GROUPOID”. Ikonion Journal of Mathematics 2/2 (October 2020), 35-39.
JAMA Taşbozan H. NEAR SOFT GROUPOID. ikjm. 2020;2:35–39.
MLA Taşbozan, Hatice. “NEAR SOFT GROUPOID”. Ikonion Journal of Mathematics, vol. 2, no. 2, 2020, pp. 35-39.
Vancouver Taşbozan H. NEAR SOFT GROUPOID. ikjm. 2020;2(2):35-9.