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A new view to N-group theory: soft N-groups

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Molodtsov introduced the concept of soft sets. In this paper, we present the definition of soft N-groups and construct some basic properties by using N-groups and Molodtsov's definition of soft sets. We introduce the notions of soft N-subgroups, soft N-ideal, N-idealistic soft N-groups and soft N-group homomorphisms. Moreover, the relations between N-idealistic soft N-groups and soft N-groups are investigated under certain conditions of the near-ring N and these relations are illustrated by many examples.
Rocznik
Tom
Strony
123--140
Opis fizyczny
Bibliogr. 27 poz.
Twórcy
autor
  • Sezer 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 Gaziosmanpasa 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, Cağman N., Soft sets and soft groups, Inform. Sci., 177(2007), 2726-2735.
  • [3] Ali M.I., Feng F., Liu X., Min W.K., Shabir M., 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 К.V., Sunil J.J., Soft set relations and functions, Comput. Math. Appl., 60(7)(2010), 1840-1849.
  • [6] Cağman N., Enginoğlu S., Soft matrix theory and its decision making, Comput. Math. Appl., 59(2010), 3308-3314.
  • [7] Cağman N., Enginoğlu S., Soft set theory and uni-int decision making, Eur. J. Oper. Res., 207(2010), 848-855.
  • [8] Feng F., Jun Y.B., Zhao X., Soft semirings, Comput. Math. Appl., 56(2008), 2621-2628.
  • [9] Feng F., Liu X.Y., Leoreanu-Fotea V., Jun Y.B., Soft sets and soft rough sets, Inform. Sci., 181(6)(2011), 1125-1137.
  • [10] 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.
  • [11] Jun Y.B., Soft BCK/BCI-algebras, Comput. Math. Appl., 56(2008), 1408¬1413.
  • [12] Jun Y.B., Park C.H., Applications of soft sets in ideal theory of BCK/ BCI-algebras, Inform. Sci., 178(2008), 2466-2475.
  • [13] Jun Y.B., Lee K.J., Zhan J., Soft p-ideals of soft BCI-algebras, Comput. Math. Appl., 58(2009), 2060-2068.
  • [14] Kazanci O., Yilmaz Ş., Yamak S., Soft sets and soft BCH-algebras, Hacet. J. Math. Stat., 39(2)(2010), 205-217.
  • [15] Maji Р.К., Biswas R., Roy A.R., Soft set theory, Comput. Math. Appl., 45(2003), 555-562.
  • [16] Maji Р.К., Roy A.R., Biswas R., An application of soft sets in a decision making problem, Comput. Math. Appl., 44(2002), 1077-1083.
  • [17] Majumdar Р., Samanta S.K., On soft mappings, Comput. Math. Appl., 60 (9)(2010), 2666-2672.
  • [18] Molodtsov D., Soft set theory-first results, Comput. Math. Appl., 37(1999), 19-31.
  • [19] 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.
  • [20] Pilz G., Near-rings, North Holland Publishing Company, Amsterdam-New York-Oxford, 1983.
  • [21] Sezgin A., Atagün A.O., Aygün E., A note on soft near-rings and idealistic soft near-rings, Filomat, 25(2)(2011), 53-68.
  • [22] Sezgin A., Atagün A.O., On operations of soft sets, Comput. Math. Appl., 61(5)(2011), 1457-1467.
  • [23] Sezgin A., Atagün A.O., Soft groups and normalistic soft groups, Comput. Math. Appl., 62(2)(2011), 685-698.
  • [24] Sezgin A., Atagün A.O., Cağman N., Union soft substructures of near- rings and N -groups, Neural Comput. Appl., 21 (Issue 1-Supplement) (2012), 133-143.
  • [25] Sezgin A., Atagün A.O., Cağman N., Soft intersection near-rings with applications, Neural Comput. Appl., 21(Issue 1-Supplement)(2012), 221-229.
  • [26] Sezer A.S., A new view to ring theory via soft union rings, ideals and bi- ideals, Knowledge-Based Systems, 36(2012), 300-314.
  • [27] Zhan J., Jun Y.B., Soft BL-algebras based on fuzzy sets, Comput. Math. Appl., 59(6)(2010), 2037-2046.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-b3871fdc-b5e2-4211-8dbd-df50e34b2bd2
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