Topology of the Redefined Intuitionistic Fuzzy Rough Sets

Sang Min Yun, Yeon Seok Eom, Seok Jong Lee · International Journal of Fuzzy Logic and Intelligent Systems · 2021

In our previous paper, we proposed a new definition of intuitionistic fuzzy rough sets.In this paper, we propose a topology for redefined intuitionistic fuzzy rough sets and investigate the basic properties of their subspaces, transition spaces, and continuous functions.Moreover, we obtain the adjointness between the categories of fuzzy rough sets and intuitionistic fuzzy rough sets.The results obtained from this new definition differ from those of previous studies.

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