%A HAO Xiu-mei, LIU Ji-qin
%T Cut sets of outer P-fuzzy sets and extended rough sets models
%0 Journal Article
%D 2020
%J JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
%R 10.6040/j.issn.1671-9352.0.2020.196
%P 1-6
%V 55
%N 10
%U {http://lxbwk.njournal.sdu.edu.cn/CN/abstract/article_3339.shtml}
%8 2020-10-20
%X The P-fuzzy sets are a pair of inner and outer P-fuzzy sets. Inner and outer P-fuzzy sets are two different kinds of dynamic fuzzy sets. The cut sets method is frequently used in fuzzy sets discussed. The concepts of *λ*-cut sets, strong *λ*-cut sets, interval cut sets and cut sets granularity are proposed, and the cut sets and interval cut sets granularity theorems of outer P-fuzzy sets are discussed. Then, the interval cut sets decomposition theorems of outer P-fuzzy sets are given. By using the concept of the outer P-fuzzy rough membership function, four rough sets extended models are proposed such as *(α*_{F},β_{F}) rough sets, *(*1_{F},0_{F}) rough sets, *(α*_{F},β_{F})probability rough sets and *(α*_{F},β_{F}) variable precision rough sets. The *(α*_{F},β_{F})rough sets theorems of the outer P-fuzzy sets are discussed. In the end, the quantitative characteristics and relationship theorem are given.