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. F., Li, L. Q., Sun, S. B., & 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. F., Li, L. Q., Sun, S. B., 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. F., Li, L. Q., Sun, S. B., 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