It has been studied that, the fine-irresolute mapping introduced in [13] includes all mappings defined by Császár (cf. [5]) in a fine space which is a special case of generalized topological space. It has been also noted that g-α-irresolute function defined by Bai et al [1] is also included in the same fine-irresolute mapping.

The aim of this paper is to introduce fuzzy ($e$, almost) $e^{*}$-regular spaces in $check{S}$ostak's fuzzy topological spaces. Using the $r$-fuzzy $e$-closed sets, we define $r$-($r$-$theta$-, $r$-$etheta$-) $e$-cluster points and their properties. Moreover, we investigate the relations among $r$-($r$-$theta$-, $r$-$etheta$-) $e$-cluster points, $r$-fuzzy ($e$, almost) $e^{*}$-regular spaces a...

In this paper, we introduce the concepts of soft semi \( \omega \)-continuous, \(\omega \)-irresolute, and \) -irresolute functions by using \)-open sets. We characterize them discuss their main properties with help examples. investigate under what conditions restriction are respectively \)-irresolute. Also, composition two -continuous, \)-irresolute -irresolute, addition to these, examine conn...

We define and characterize a somewhat fuzzy γ-irresolute continuous mapping and a somewhat fuzzy irresolute γ-open mapping on a fuzzy topological space. AMS Mathematics Subject Classification : 54A40.

ISSN 2277 – 5048 | © 2012 Bonfring Abstract--In this paper we introduce the concept of − γ generalized α -continuous mappings in topological spaces and study its relationship with other mappings. Further we declare the concepts of αγ -continuous mappings and − γ gα-continuous mappings which coincide when the space is α− γ T1/2. In addition, we define the concept of − γ gα-irresolute mappings in...

In this paper we define almost rg-normality and mild rg-normality, continue the study of further properties of rgnormality. We show that these three axioms are regular open hereditary. Also define the class of almost rg-irresolute mappings and show that rg-normality is invariant under almost rg-irresolute M-rg-open continuous surjection. AMS Subject Classification: 54D15, 54D10.

In this paper by using rgα−open sets I define almost rgα−normality and mild rgα−normality also we continue the study of further properties of rgα−normality. We show that these three axioms are regular open hereditary. I also define the class of almost rgα−irresolute mappings and show that rgα−normality is invariant under almost rgα−irresolute M-rgα−open continuous surjection.

The main purpose of our paper, is to investigate more properties of the soft β-separation axioms given in [8]. We show that, the properties of soft β-Ti-spaces (i = 1, 2) are soft topological properties under the bijection and irresolute open soft mapping. Also, the property of being soft βregular and soft β-normal are soft topological properties under bijection, irresolute soft and irresolute ...

The concept of fuzzy super irresolute function was considered and studied by Šostak's (1985). A comparison between this type and other existing ones is established. Several characterizations, properties, and their effect on some fuzzy topo-logical spaces are studied. Also, a new class of fuzzy topological spaces under the terminology fuzzy S *-closed spaces is introduced and investigated. 1. In...