Fuzzy Binary Rough Set
Abstract
In this paper, we provide a definition of α-fuzzified lower and upper approximations for fuzzy sets based on the α-cut of fuzzy binary relations. We show that the definition is a proper generalization of the previous one for approximations of crisp sets and compare it with an existing definition in the context of fuzzy tolerance relation.
This work was partially supported by a grant from the Ministry of Science and Technology, Taiwan, No. MOST 106-2221-E-150-040.