On a novel uncertain soft set model: Z-soft fuzzy rough set model and corresponding decision making methods

被引:164
作者
Zhan, Jianming [1 ]
Ali, Muhammad Irfan [2 ]
Mehmood, Nayyar [3 ]
机构
[1] Hubei Univ Nationalities, Dept Math, Enshi 445000, Peoples R China
[2] Islamabad Model Coll Girls, Dept Math, F-6-2, Islamabad, Pakistan
[3] Int Islamic Univ Islamabad, Dept Math & Stat, Islamabad, Pakistan
关键词
Pseudo fuzzy soft set; Fuzzy rough set; Z-soft fuzzy rough set; Decision making; INFORMATION; EXTENSIONS; REDUCTION;
D O I
10.1016/j.asoc.2017.03.038
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
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. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码:446 / 457
页数:12
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