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Completely continuous functions and R-map in fuzzifying topological space

机译：在模糊的拓扑空间中完全连续的函数和R-map

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摘要

This paper considers fuzzifying topologies, a special case of I-fuzzy topologies introduced by Ying. The concepts of fuzzifying regular derived set, fuzzifying regular interior and fuzzifying regular convergence are studied and some results on above concepts are obtained. Also, the concepts of fuzzifying completely continuous functions and fuzzifying R-map are introduced and some important characterizations are obtained. Furthermore, some compositions of fuzzifying continuity with fuzzifying completely continuous functions and fuzzifying R-map are presented.
机译：本文考虑模糊化拓扑，这是Ying提出的I-模糊拓扑的特例。研究了使规则集派生模糊化，使内部规则化模糊化和规则收敛性模糊化的概念，并获得了有关上述概念的一些结果。此外，介绍了使完全连续函数模糊化和使R-map模糊化的概念，并获得了一些重要的特征。此外，给出了一些模糊连续性，完全连续函数模糊化和R-map模糊化的组成。

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