NEAR SOFT GROUPOID
NEAR SOFT GROUPOID
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.
Keywords:
Near set, Soft Set, Near Soft Set, Near Soft Element, Near Soft Group Near Soft Groupoid,
___
- [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.
- ISSN: 2687-6531
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2019
- Yayıncı: Nihat AKGÜNEŞ