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Continuities and neighborhood structures in intuitionistic fuzzy smooth topological spaces

ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
약어 : -
2018 vol.16, no.1, pp.33 - 54
DOI : 10.30948/afmi.2018.16.1.33
발행기관 : 원광대학교 기초자연과학연구소
연구분야 : 수학
Copyright © 원광대학교 기초자연과학연구소
163 회 열람

First, we introduce the concepts of an intuitionistic fuzzy smooth [resp. weak, strong] continuity and an intuitionistic fuzzy smooth homeomorphism, and we obtained some their properties. Next, we define an intuitionistic fuzzy smooth subspace and study its some properties. Finally, we define an intuitionistic fuzzy smooth neighborhood system and an intuitionistic fuzzy smooth $Q$- neighborhood system and we obtain the the characterization (See Theorem 5.5).

Intuitionistic fuzzy smooth topological space, Intuitionistic fuzzy smooth continuous mapping, Intuitionistic fuzzy smooth preserving mapping, Intuitionistic fuzzy smooth subspace, Intuitionistic fuzzy smooth neighborhood system, Intuitionistic fuzzy smooth $Q$-neighborhood system

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