This paper reviews and compares theories of fuzzy sets and rough sets. Two approaches for
the formulation of fuzzy sets are reviewed, one is based on many-valued logic and the other …

Since introduction of the theory of rough set in early eighties, considerable work has been
done on the development and application of this new theory. The paper provides a review of …

Molodtsov introduced the concept of soft set theory, which can be used as a generic
mathematical tool for dealing with uncertainty. In this paper we introduce the basic …

This paper presents and compares two views of the theory of rough sets. The operator-
oriented view interprets rough set theory as an extension of set theory with two additional …

Rough sets and fuzzy sets have been proved to be powerful mathematical tools to deal with
uncertainty, it soon raises a natural question of whether it is possible to connect rough sets …

Since Pawlak [43] proposed the rough set theory in early eighties, many proposals have
been made for generalizing and interpreting rough sets [3, 4, 19, 27, 37, 38, 39, 46, 47, 51 …

This paper is an introduction to fuzzy set theory. It has several purposes. First, it tries to
explain the emergence of fuzzy sets from an historical perspective. Looking back to the …

A fuzzy set can be represented by a family of crisp sets using its α-level sets, whereas a
rough set can be represented by three crisp sets. Based on such representations, this paper …

The notion of a rough set was originally proposed by Pawlak [Z. Pawlak, Rough sets,
International Journal of Computer and Information Sciences 11 (5)(1982) 341–356]. Later …

The concept of the rough set was originally proposed by Pawlak as a formal tool for
modeling and processing incomplete information in information systems. Then in 1990 …