Abstract
Firstly, this paper presents the new concept of soft subincline. Then some equivalent conditions of it and two operations “RESTRICTED INTERSECT” and “AND” on it are discussed. After that the relationship between soft subincline and the dual of soft set based on the method of the dual of soft set are studied. In addition, the concepts and properties of maps between soft subincline are given. Finally, the chain condition of H which consists of all of the soft subinclines is introduced and obtain a necessary and sufficient condition for H is Artinian or Noetherian.
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Acknowledgements
This work is supported by the National Science Foundations of China (No: 61673193, 61170121, 11401259), and the Natural Science Foundations of Jiangsu Province (No: BK2015117).
Recommender: Zhao Yan-cai, Wuxi City College of Vocational Technology, China, doctor, professor.
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Chen, Lh., Liao, Zh., Liao, Zy., Li, Y., Zhu, Xy., Song, W. (2018). A New Type of Soft Subincline of Incline. In: Cao, BY. (eds) Fuzzy Information and Engineering and Decision. IWDS 2016. Advances in Intelligent Systems and Computing, vol 646. Springer, Cham. https://doi.org/10.1007/978-3-319-66514-6_7
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DOI: https://doi.org/10.1007/978-3-319-66514-6_7
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