Let $L$ be an integral and commutative quantale. In this paper, by fuzzifying the notion of generalized neighborhood systems, the notion of $L$-fuzzy generalized neighborhood system is introduced and then a pair of lower and upper approximation operators based on it are defined and discussed. It is proved that these approximation operators include generalized neighborhood system-based approximation operators, $L$-fuzzy relation-based approximation operators and $L$-fuzzy covering-based approximation operators as their special circumstances. Therefore, the research on $L$-fuzzy generalized neighborhood system-based approximation operators has more general significance. In addition, when the $L$-fuzzy generalized neighborhood system is serial, reflexive, unary and transitive, then the corresponding approximation operators are discussed and characterized, respectively.
Zhao, F., Li, L., Sun, S., Jin, Q. (2019). Rough approximation operators based on quantale-valued fuzzy generalized neighborhood systems. Iranian Journal of Fuzzy Systems, 16(6), 53-63. doi: 10.22111/ijfs.2019.5019
MLA
F. F. Zhao; L. Q. Li; S. B. Sun; Q. Jin. "Rough approximation operators based on quantale-valued fuzzy generalized neighborhood systems". Iranian Journal of Fuzzy Systems, 16, 6, 2019, 53-63. doi: 10.22111/ijfs.2019.5019
HARVARD
Zhao, F., Li, L., Sun, S., Jin, Q. (2019). 'Rough approximation operators based on quantale-valued fuzzy generalized neighborhood systems', Iranian Journal of Fuzzy Systems, 16(6), pp. 53-63. doi: 10.22111/ijfs.2019.5019
VANCOUVER
Zhao, F., Li, L., Sun, S., Jin, Q. Rough approximation operators based on quantale-valued fuzzy generalized neighborhood systems. Iranian Journal of Fuzzy Systems, 2019; 16(6): 53-63. doi: 10.22111/ijfs.2019.5019