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N-group SI-action and its applications to N-group theory

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we define a new concept, called N-group soft intersection action (SI) on a soft set. This new notion gathers soft set theory, set theory and N-group theory together and it shows how a soft set effects on an N-group structure in the mean of intersection and inclusion of sets. We then obtain its basic properties with illustrative examples and derive some analog of classical N-group theoretic concepts for N-group SI-actions. Finally, we give the applications of N-group SI-actions to N-group theory.
Rocznik
Tom
Strony
139--153
Opis fizyczny
Bibliogr. 29 poz.
Twórcy
autor
  • Department of Mathematics Faculty of Arts and Science Amasya University 05100 Amasya, Turkey
autor
  • Department of Mathematics Faculty of Arts and Science Bozok University 66100 Yozgat, Turkey
autor
  • Department of Mathematics Faculty of Arts and Science Gaziosmanpaşa University 60250 Tokat, Turkey
Bibliografia
  • [1] Acar U., Koyuncu F., Tanay B., Soft sets and soft rings, Comput. Math. Appl., 59(2010), 3458-3463.
  • [2] Aktas H., Caǧman N., Soft sets and soft groups, Inform. Sci, 177(2007), 2726-2735.
  • [3] Ali M.I.,Feng F., Liu X., Min W.K., ShabirM., On some new operations in soft set theory, Comput. Math. Appl., 57(2009), 1547-1553.
  • [4] Atagün A.O., Sezgin A., Soft substructures of rings, fields and modules, Comput. Math. Appl., 61(3)(2011), 592-601.
  • [5] Babitha K.V., Sunil J.J., Soft set relations and functions, Comput. Math. Appl., 60(7)(2010), 1840-1849.
  • [6] Ҫaǧman N, Enginoǧlu S., Soft matrix theory and its decision making, Comput. Math. Appl., 59(2010), 3308-3314.
  • [7] Ҫaǧman N, Enginoǧlu S., Soft set theory and uni-int decision making, Eur. J. Oper. Res., 207(2010), 848-855.
  • [8] Ҫaǧman N., Ҫitak F., Aktaş H., Soft int-groups and its applications to group theory, Neural Comput. Appl., DOI: 10.1007/s00521-011-0752-x.
  • [9] Ҫaǧman N., Sezgin A., Atagün A.O., Soft uni-groups and its applications to group theory, (submitted).
  • [10] Ҫaǧman N., Sezgin A., Atagün A.O., α-inclusions and their applications to group theory, (submitted).
  • [11]Feng F., Jun Y.B., Zhao X., Soft semirings, Comput. Math. Appl., 56(2008), 2621-2628.
  • [12] Feng F., Liu X.Y., Leoreanu-Fotea V., Jun Y.B., Soft sets and soft rough sets, Inform. Sci., 181(6)(2011), 1125-1137.
  • [13]Feng F., Li C., Davvaz B., Ali M.I., Soft sets combined with fuzzy sets and rough sets: a tentative approach, Soft Comput., 14(6)(2010), 899-911.
  • [14] Jun Y.B., Soft BCK/BCI-algebras, Comput. Math. Appl., 56(2008), 1408 -1413.
  • [15] Jun Y.B., Park C.H., Applications of soft sets in ideal theory of BCK/ BCI-algebras, Inform. Sci., 178(2008), 2466-2475.
  • [16] Jun Y.B., Lee K.J., Zhan J., Soft p-ideals of soft BCI-algebras, Comput. Math. Appl., 58(2009), 2060-2068.
  • [17] Jun Y.B., Lee K.J., Park C.H., Soft set theory applied to ideals in d-algebras, Comput. Math. Appl., 57(3)(2009), 367-378.
  • [18] Kazanci O., Yilmaz Ş., Yamak S., Soft sets and soft BCH-algebras, Hacet. J. Math. Stat., 39(2)(2010), 205-217.
  • [19] Maji P.K., Biswas R., Roy A.R., Soft set theory, Comput. Math. Appl., 45(2003), 555-562.
  • [20] Maji P.K., Roy A.R., Biswas R., An application of soft sets in a decision making problem, Comput. Math. Appl., 44(2002), 1077-1083.
  • [21] Majumdar P., Samanta S.K., On soft mappings, Comput. Math. Appl., 60 (9)(2010), 2666-2672.
  • [22] Molodtsov D., Soft set theory-first results, Comput. Math. Appl., 37(1999), 19-31.
  • [23] Molodtsov D.A., Leonov V.Yu., Kovkov D.V., Soft sets technique and its application, Nechetkie Sistemy i Myagkie Vychisleniya, 1(1)(2006), 8-39.
  • [24] Pilz G., Near-rings, North Holland Publishing Company, Amsterdam-New York-Oxford, 1983.
  • [25] Sezgin A., Atagün A.O., Aygün E., A note on soft near-rings and idealistic soft near-rings, Filomat., 25(1)(2011), 53-68.
  • [26] Sezgin A., Atagün A.O., On operations of soft sets, Comput. Math. Appl., 61(5)(2011), 1457-1467.
  • [27] Wendt G., On Zero Divisors in Near-Rings, Int. J. Algebra, 3(1)(2009), 21-32.
  • [28] Zhan J., Jun Y.B., Soft BL-algebras based on fuzzy sets, Comput. Math. Appl., 59(6)(2010), 2037-2046.
  • [29] Zou Y., Xiao Z., Data analysis approaches of soft sets under incomplete information, Knowl-Based Syst., 21(2008), 941-945.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-7f4cc39c-723a-48d9-8f87-f9ae13a9c601
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