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International Journal for Uncertainty Quantification

Impact factor: 1.000

ISSN Print: 2152-5080
ISSN Online: 2152-5099

Open Access

International Journal for Uncertainty Quantification

DOI: 10.1615/Int.J.UncertaintyQuantification.2018020594
Forthcoming Article

P-soft rough fuzzy groups and P-soft fuzzy rough groups and corresponding decision making

Jianming Zhan
Hubei University for Nationalities
Wenjun Pan
Hubei University for Nationalities

ABSTRACT

The study of applying hybrid soft set models to deal with uncertain problems has become a hot topic. In this article, we give the notions of P-soft rough fuzzy and P-soft fuzzy rough in groups and investigate some basic properties of them. Meanwhile, we put forward the P-soft rough fuzzy-subgroups, P-soft rough fuzzy-normal subgroups, P-soft fuzzy rough-subgroups and P-soft fuzzy rough-normal subgroups of a group. These kinds of roughness on groups are also investigated. Finally, we raise two kinds of decision making methods for P-soft rough fuzzy sets and P-soft fuzzy rough sets in groups, and some actual examples are given to illustrate the effectiveness and rationality.