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Weak Forms of Fuzzy N- Open Sets and Fuzzy - Sets in Fuzzy Topological Spaces | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 58, Issue 4, 2018, Pages 2401-2411 | ||
| Author | ||
| Sabiha I. Mahmood | ||
| Abstract | ||
| In this article we introduce a new type of fuzzy open sets in fuzzy topological spaces called fuzzy N-open sets and we prove that the family of all fuzzy N-open sets in a fuzzy topological space forms a fuzzy topology on X. Also we use fuzzy N-open sets to define and study new types of fuzzy sets called weak fuzzy N-open sets and weak fuzzy - sets in fuzzy topological spaces. Moreover we investigate the relation between the fuzzy open sets and each of fuzzy N-open sets, weak fuzzy N-open sets and weak fuzzy - sets. | ||
| Keywords | ||
| fuzzy N; open set; fuzzy; fuzzy b; fuzzy pre; set; set and fuzzy | ||
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