Title of article :
Topological structures induced by L-fuzzifying approximation operators
Author/Authors :
Wang, C. Y. School of Mathematics and Statistics - Shandong Normal University, PR China , Wan, L. School of Mathematics and Physics - Qingdao University of Science and Technology, PR China , Zhang, B. Foundational Courses Department - Wuhan Donghu University, PR China
Abstract :
This paper further studies topological structures induced by L-fuzzifying approximation operators, where L denotes a completely distributive De Morgan algebra. Firstly, the Alexandrov topologies induced by L-fuzzy relations are investigated with respect to L-fuzzifying approximation operators. Especially, the relationships among those Alexandrov topologies are discussed. Secondly, pseudo-similarity sets of L-fuzzy relations are proposed based on the Alexandrov topologies induced by upper and lower L-fuzzifying approximation operators. Meanwhile, the properties of pseudo-similarity sets are discussed, where some examples are presented to show the differences between similarity set of fuzzy relations and pseudo-similarity set of L-fuzzy relations.
Keywords :
L-fuzzy relation , topology , L-fuzzifying approximation operator , pseudo-similarity set
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
