On some types of covering rough sets from topological points of view
نویسندگان
چکیده
منابع مشابه
Covering Rough Sets From a Topological Point of View
—Covering-based rough set theory is an extension to classical rough set. The main purpose of this paper is to study covering rough sets from a topological point of view. The relationship among upper approximations based on topological spaces are explored.
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Covering based rough sets [3,15,16,17,18,19] have been introduced as an extension of the basic rough sets introduced by Pawlak [6]. There is only one way to define the lower approximation of a set using covering. However, as many as four definitions have been proposed for the upper approximation. Accordingly, four types of covering based rough sets have been defined. In this paper we introduced...
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In this study, we induce some topological structures in the covering rough set models, and construct their closure operators by using the covering upper approximation operators. Furthermore, we show that the minimum set of each of these topological structures is their base, and a partition on the universe of discourse. Finally, we discuss the relationships between some topologies generated by s...
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Covering approximation spaces are a generalization of equivalence-based rough set theories. In this paper, we will consider twelve types of covering based approximation operators by combining four types of covering lower approximation operators and three types of covering upper approximation operators. Then, we will study the properties of these new pairs and show they have most of the common p...
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ژورنال
عنوان ژورنال: International Journal of Approximate Reasoning
سال: 2016
ISSN: 0888-613X
DOI: 10.1016/j.ijar.2015.09.003