Some Weaker Forms of Fuzzy Faintly Open Mappings

Hakeem A. Othman
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Abstract

This paper is devoted to introduce and investigate some weak forms of fuzzy open mappings, namely fuzzy faintly semi open (fuzzy faintly semi closed), fuzzy faintly preopen (fuzzy faintly preclosed), fuzzy faintly $\alpha$-open (fuzzy faintly $\alpha$-closed), fuzzy faintly semi preopen (fuzzy faintly semi preclosed) and fuzzy faintly $sp$- open (fuzzy faintly $sp$- closed) mappings and their fundamental properties are obtained. Moreover, their relationship with other types of fuzzy open (closed) mappings are discussed.
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模糊弱开映射的一些弱形式
本文介绍和研究了模糊开映射的一些弱形式,即模糊弱半开(模糊弱半闭)、模糊弱预开(模糊弱预闭)、模糊弱$\alpha$-开(模糊弱$\alpha$-闭)、模糊弱半预开(模糊弱半预闭)和模糊弱$sp$-开(模糊弱$sp$-闭)映射,并得到了它们的基本性质。此外,还讨论了它们与其他类型模糊开(闭)映射的关系。
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