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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
pages 75-99

P-SOFT ROUGH FUZZY GROUPS AND P-SOFT FUZZY ROUGH GROUPS AND CORRESPONDING DECISION-MAKING

Wenjun Pan
Department of Mathematics, Hubei University for Nationalities, Enshi, 445000, P.R. China
Jianming Zhan
Department of Mathematics, Hubei University for Nationalities, Enshi, 445000, P.R. China

ABSTRACT

The study of applying hybrid soft models to uncertain problems has become a hot topic. In this research study, we introduce the notions of P-soft rough fuzzy groups and P-soft fuzzy rough groups and investigate some of their basic properties. Further, we present certain notions, including 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. In particular, we propose two kinds of decision-making methods based on P-soft rough fuzzy sets and P-soft fuzzy rough sets in groups to illustrate the effectiveness and rationality. Finally, we present numerical experimentations of six algorithms, in which the comparison among six types of hybrid soft models are analyzed.