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International Journal of Machine Learning and Cybernetics

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26-05-2018 | Original Article

Fuzzy soft \(\beta\)-covering based fuzzy rough sets and corresponding decision-making applications

Authors: Li Zhang, Jianming Zhan

Published in: International Journal of Machine Learning and Cybernetics | Issue 6/2019

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Abstract

In this article, the concepts of fuzzy soft \(\beta\)-coverings, fuzzy soft \(\beta\)-neighborhoods and fuzzy soft complement \(\beta\)-neighborhoods are firstly proposed and some related properties are studied. Then four distinct types of fuzzy soft \(\beta\)-coverings based fuzzy rough sets are defined. Furthermore, we explore the relationships among the several types of fuzzy soft \(\beta\)-coverings based fuzzy rough sets. In particular, by means of \(\beta\)-level subsets of fuzzy soft \(\beta\)-coverings, some kinds of soft coverings based rough sets are also investigated. Finally, by means of fuzzy soft \(\beta\)-coverings based fuzzy rough sets, we give a detailed description of an algorithmic procedure of decision-making for the new approach.

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Title: Fuzzy soft -covering based fuzzy rough sets and corresponding decision-making applications
Authors: Li Zhang
Jianming Zhan
Publication date: 26-05-2018
Publisher: Springer Berlin Heidelberg
Published in: International Journal of Machine Learning and Cybernetics / Issue 6/2019
Print ISSN: 1868-8071
Electronic ISSN: 1868-808X
DOI: https://doi.org/10.1007/s13042-018-0828-3

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