The soft set theory proposed by Molodtsov is a recent mathematical approach for modeling uncertainty and vagueness. The main aim of this study is to introduce the concept of soft action by combining soft set theory with the action which is an important concept in dynamical systems theory. Moreover, different types of soft action are presented and some important characterizations are given. Finally, we define the concept of soft symmetric group and present the relation between the soft action and soft symmetric group, as a similar result to the classical Cayley's Theorem.

Soft set, soft group, soft action, soft symmetric group

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Birincil Dil | en |
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Konular | Matematik |

Dergi Bölümü | Makaleler |

Yazarlar |

Bibtex | ```
@araştırma makalesi { cfsuasmas509926,
journal = {Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics},
issn = {1303-5991},
eissn = {2618-6470},
address = {Ankara Üniversitesi},
year = {2018},
volume = {68},
pages = {1163 - 1174},
doi = {10.31801/cfsuasmas.509926},
title = {Actions of soft groups},
key = {cite},
author = {GURSOY, M. Habil and ICEN, Ilhan and OGUZ, Gülay}
}
``` |

APA | OGUZ, G , ICEN, I , GURSOY, M . (2018). Actions of soft groups. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68 (1), 1163-1174. Retrieved from http://dergipark.gov.tr/cfsuasmas/issue/36517/509926 |

MLA | OGUZ, G , ICEN, I , GURSOY, M . "Actions of soft groups". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2018): 1163-1174 <http://dergipark.gov.tr/cfsuasmas/issue/36517/509926> |

Chicago | OGUZ, G , ICEN, I , GURSOY, M . "Actions of soft groups". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2018): 1163-1174 |

RIS | TY - JOUR T1 - Actions of soft groups AU - Gülay OGUZ , Ilhan ICEN , M. Habil GURSOY Y1 - 2018 PY - 2018 N1 - DO - T2 - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics JF - Journal JO - JOR SP - 1163 EP - 1174 VL - 68 IS - 1 SN - 1303-5991-2618-6470 M3 - UR - Y2 - 2018 ER - |

EndNote | %0 Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Actions of soft groups %A Gülay OGUZ , Ilhan ICEN , M. Habil GURSOY %T Actions of soft groups %D 2018 %J Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics %P 1303-5991-2618-6470 %V 68 %N 1 %R %U |

ISNAD | OGUZ, Gülay , ICEN, Ilhan , GURSOY, M. Habil . "Actions of soft groups". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 / 1 (Nisan 2018): 1163-1174. |