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- Title
Rough approximation operators based on quantale-valued fuzzy generalized neighborhood systems.
- Authors
Zhao, F. F.; Li, L. Q.; Sun, S. B.; Jin, Q.
- Abstract
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 deffned 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 signiffcance. In addition, when the L-fuzzy generalized neighborhood system is serial, re exive, unary and transitive, then the corresponding approximation operators are discussed and characterized, respectively.
- Subjects
FUZZY arithmetic; FUZZY topology; ROUGH sets
- Publication
Iranian Journal of Fuzzy Systems, 2019, Vol 16, Issue 6, p53
- ISSN
1735-0654
- Publication type
Article