In this paper the concepts of fuzzifying β −irresolute functions and fuzzifying β-compact spaces are characterized in terms of fuzzifying β-open sets and some of their properties are discussed.

©2006  Shiraz University.

New classes of sets called Ω-closed sets and Ωs-closed sets are introduced and studied. Also, we introduce and study Ω-continuous functions and Ωs-continuous functions and prove pasting lemma for these functions. Moreover, we introduce classes of topological spaces called Ω-T_1/2 and Ω-T_s.

@ 2005 Akade´miai Kiado´, Budapest.

In this paper we introduce and study the concept of semi compactness in the framework of fuzzifying topology. We use the finite intersection property to give a characterization of the fuzzifying semi compactness.

@2005 The Pakistan Academy of Sciences.

In this paper, the theory of γ -convergence, and cγ -convergence on nets
and filters is established in fuzzifying topology. Some important and interesting
results in fuzzifying topology are obtained by means of the theory.

@2005 The Pakistan Academy of Sciences.

In (2000), Zahran has introduced the concepts of -open sets, almost continuity and -continuity in fuzzifying topology. In this note we show that Lemma 2.2 and Theorem 2.4 are incorrect.

@ 2004 Elsevier Science B.V.
 

In the present paper we introduce and study pre-T₀-, pre-R₀-, pre-T₁-, pre-R₁-, pre-T₂ (pre-Hausdorff)-, pre-T₃ (pre-regularity)-,  pre-T₄ (pre-normality), )-, pre-strongT₃- and pre-strong T₄ -separation axioms in fuzzifying topology and
give some of their characterizations as well as the relations of these axioms and other separation axioms in fuzzifying topology introduced by Shen [7].

We introduce the concept of a fuzzifying proximity and study some properties of fuzzifying proximities - in particular we show how a fuzzifying proximity on
a set X naturally induces a fuzzifying topology on the same set. Besides, the concept of a strong fuzzifying uniformity (which is a certain modification of Ying’s concept of a fuzzifying uniformity ([4])) is introduced. Some relations between fuzzifying proximities, strong fuzzifying uniformities and corresponding fuzzifying topologies are established. In particular, we show that the fuzzifying topology induced by the fuzzifying proximity and the fuzzifying topology induced by the strong fuzzifying uniformity are coincide.

The concepts of fuzzy cγ-open sets and fuzzy cγ-continuity are introduced and studied in fuzzifying topology and by making use of these concepts, some decompositions of fuzzy continuity are introduced.

© 2002,Hindawi Publishing Corp

Hierarchical porous zeolitic imidazolate frameworks (HZIFs) are promising materials for several applications, including adsorption, separation, and nanomedicine. Herein, the conversion of zinc hydroxide nitrate nanosheets into HZIF-8 nanocomposite with graphene oxide (GO) and magnetic nanoparticles (MNPs) is reported. The conversion takes place at room temperature in water. This approach has been successfully applied for the formation of leaf-like ZIF(ZIF-L), and their nanocomposites with nanoparticles, such as GO and MNPs. This method offers a simple approach for the synthesis of tunable pore structure using nanoparticles and fast room temperature conversion (30 min) without any visible residual impurities of zinc hydroxide nitrates. The applications of HZIF-8, ZIF-L, and their nanocomposites, for CO₂ sorption, exhibit excellent adsorption properties. The synthesized composites exhibit enhanced CO₂ adsorption capacity due to the synergistic effect between nanoparticles (GO, or MNPs), and ZIF-8. The materials have good potential for further applications.