L -fuzzy approximating spaces
Jiasheng Zeng, Pei Wang · Journal of Intelligent & Fuzzy Systems · 2019
Rough set theory (for short, RST) are widely applied to artificial intelligence. Fuzzy rough sets (for short, FRSs) are the results of approximation of fuzzy sets on a fuzzy approximation space. In this paper, L -fuzzy is briefly denoted by LF . We study a topological problem of FRSs based on residuated lattices, i.e., suppose that L is a complete residuated lattice, then when may the given LF -topology be consistent with the LF -topology induced by some preorder LF -relation? In order to answer this problem, the notion of LF -approximating spaces is introduced. Moreover, determinant conditions for LF -topological spaces to be LF -approximating spaces are given.