On three types of soft fuzzy coverings based rough sets

Recently, the concept of soft fuzzy rough covering was defined and their properties were studied by Zhan et al.. (Zhan and Sun, 2019). As a generalization of Zhan's method (i.e., to increase the lower approximation and decrease the upper approximation), the present work aims to define the complementary fuzzy soft neighborhood and hence three new types of soft fuzzy rough covering models are constructed. The properties of these construction are explained. According to these results, we define three types of fuzzy soft measure degrees. Also, we study three kinds of psi-soft fuzzy rough coverings and three kinds of D-soft fuzzy rough coverings, and study their properties. The relationships among these three models and Zhan's model are also presented. Finally, a decision-making algorithm is presented based on the proposed operations and illustrate with a numerical example to describe its performance. (C) 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.