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## Actions of soft groups

#### Gülay OGUZ [1] , Ilhan ICEN [2] , M. Habil GURSOY [3]

##### 6 95

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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Primary Language en Mathematics Articles Orcid: 0000-0003-4302-8401Author: Gülay OGUZ Author: Ilhan ICEN Author: M. Habil GURSOY
 Bibtex @research article { cfsuasmas509926, journal = {Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics}, issn = {1303-5991}, eissn = {2618-6470}, address = {Ankara University}, year = {2018}, volume = {68}, pages = {1163 - 1174}, doi = {10.31801/cfsuasmas.509926}, title = {Actions of soft groups}, key = {cite}, author = {OGUZ, Gülay and ICEN, Ilhan and GURSOY, M. Habil} } 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. DOI: 10.31801/cfsuasmas.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 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 - doi: 10.31801/cfsuasmas.509926 DO - 10.31801/cfsuasmas.509926 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 - doi: 10.31801/cfsuasmas.509926 UR - https://doi.org/10.31801/cfsuasmas.509926 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 doi: 10.31801/cfsuasmas.509926 %U 10.31801/cfsuasmas.509926 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 (April 2018): 1163-1174. https://doi.org/10.31801/cfsuasmas.509926