GDL

Journal from gdlhub / 2017-08-21 15:52:56
Oleh : Yu Zhong, Cong-Hua Yan, Fuzzy Information and Engineering
Dibuat : 2016-09-21, dengan 1 file

Keyword : Approximation operatorsIntuitionistic L-fuzzy setsIntuitionistic L-fuzzy rough setsIntuitionistic L-fuzzy preorderIntuitionistic L-fuzzy Alexandrov topology
Url : http://www.sciencedirect.com/science/article/pii/S1616865816300954
Sumber pengambilan dokumen : web

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.

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