On a novel uncertain soft set model: Z-soft fuzzy rough set model and corresponding decision making methods |
| |
Affiliation: | 1. Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt;2. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor, Malaysia |
| |
Abstract: | In this paper, a kind of novel soft set model called a Z-soft fuzzy rough set is presented by means of three uncertain models: soft sets, rough sets and fuzzy sets, which is an important generalization of Z-soft rough fuzzy sets. As a novel Z-soft fuzzy rough set, its applications in the corresponding decision making problems are established. It is noteworthy that the underlying concepts keep the features of classical Pawlak rough sets. Moreover, this novel approach will involve fewer calculations when one applies this theory to algebraic structures. In particular, an approach for the method of decision making problem with respect to Z-soft fuzzy rough sets is proposed and the validity of the decision making methods is testified by a given example. At the same time, an overview of techniques based on some types of soft set models is investigated. Finally, the numerical experimentation algorithm is developed, in which the comparisons among three types of hybrid soft set models are analyzed. |
| |
Keywords: | Pseudo fuzzy soft set Fuzzy rough set Decision making |
本文献已被 ScienceDirect 等数据库收录! |
|