Volume 36 • Number 4 • 2013   • $\theta $-Semi-Generalized Closed Sets in Fuzzy Topological Spaces]{$\theta $-Semi-Generalized Closed Sets in Fuzzy Topological Spaces Zabidin Salleh and N. A. F. Abdul Wahab Abstract. In 1997, Balasubramanian has introduced and investigated the notion of fuzzy generalized closed set. In this paper, we define and obtain a new notion of fuzzy generalized closed set called fuzzy $\theta $%-semi-generalized closed set and its characterizations are investigated. Moreover, as applications of fuzzy $\theta $-semi-generalized closed set, we introduce fuzzy $\theta $-semi-generalized continuity and fuzzy $\theta $%-semi-generalized irresolute mapping. Furthermore, we also introduce fuzzy $% \theta $-semi-generalized closed mapping and characterize them. 2010 Mathematics Subject Classification:54A40, 54C08, 54C10 Full text: PDF