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Intuitionistic Fuzzy Approximation Spaces Induced by Intuitionistic Fuzzy Topologies
2016 Joint 8th International Conference on Soft Computing and Intelligent Systems (SCIS) and 17th International Symposium on Advanced Intelligent Systems (ISIS), 2016We investigate intuitionistic fuzzy approximation spaces induced by intuitionistic fuzzy topologies, and prove that there exists a one-to-one correspondence between the set of all preordered intuitionistic fuzzy relations and the set of all intuitionistic fuzzy topologies satisfying appropriate condition.
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2021In this paper, we define morphological topology (\(\mathcal {M}\)-topology) on intuitionistic fuzzy graph (IFG). We also define neighbourhood graph, continuity and isomorphism between \(\mathcal {M}\)-topologies.
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Intuitionistic Fuzzy Topologies Induced by Intuitionistic Fuzzy Approximation Spaces
International Journal of Fuzzy Systems, 2016In this paper, we obtain some basic results of intuitionistic fuzzy topological spaces induced by given intuitionistic fuzzy approximation spaces. In addition, we introduce the concept of pseudo-constant intuitionistic fuzzy relation, and obtain topological structures of an intuitionistic fuzzy approximation space by using them.
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