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• W2562509475 abstract "In this paper, by constructing an intuitionistic L-fuzzy triangle norm T and an intuitionistic L-fuzzy implicator I, lower and upper approximations of intuitionistic L-fuzzy sets are defined with respect to an intuitionistic L-fuzzy approximation space. Properties of intuitionistic L-fuzzy approximation operators are then given. This paper is devoted to discussing the relationship between intuitionistic L-fuzzy relations and intuitionistic L-fuzzy topologies. It proves that the set of all lower approximation sets based on a reflexive and transitive intuitionistic L-fuzzy relation consists of an intuitionistic L-fuzzy Alexandrov topology; and conversely, an intuitionistic L-fuzzy Alexandrov topology is just the set of all lower approximation sets under a reflexive and transitive intuitionistic L-fuzzy relation. That is to say, there exists a one-to-one correspondence between the set of all intuitionistic L-fuzzy preorders and the set of all intuitionistic L-fuzzy Alexandrov topologies." @default.
• W2562509475 created "2017-01-06" @default.
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• W2562509475 date "2016-09-01" @default.
• W2562509475 modified "2023-10-10" @default.
• W2562509475 title "Intuitionistic <i>L</i>-fuzzy Rough Sets, Intuitionistic <i>L</i>-fuzzy Preorders and Intuitionistic <i>L</i>-fuzzy Topologies" @default.
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• W2562509475 doi "https://doi.org/10.1016/j.fiae.2016.11.002" @default.
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