scholarly journals On perfectly αδ-continuous functions in topological spaces

2021 ◽  
Vol 11 (1) ◽  
pp. 6-11
Author(s):  
Basker P
Keyword(s):  
Research Paper ◽  
Continuous Functions ◽  
Topological Spaces ◽  
Compact Spaces ◽  
Closed Sets ◽  
Connected Spaces

The concept of αδ-closed sets was introduced in the research paper “On Strongly-αδ-Super-Irresolute Functions In Topological Spaces. The aim of this paper is to consider and characterize αδ-irresolute and αδ-continuous functions via the concept of αδ-closed sets and to relate these concepts to the classes of αδ-compact spaces and αδ0-connected spaces.

scholarly journals On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic Topological Spaces

Mathematics ◽  
2018 ◽  
Vol 7 (1) ◽  
pp. 1 ◽  
Author(s):  
Wadei Al-Omeri ◽  
Saeid Jafari
Keyword(s):  
The Other ◽  
Topological Spaces ◽  
Compact Spaces ◽  
Extremally Disconnected ◽  
Closed Sets ◽  
Connected Spaces

In this paper, the concept of generalized neutrosophic pre-closed sets and generalized neutrosophic pre-open sets are introduced. We also study relations and various properties between the other existing neutrosophic open and closed sets. In addition, we discuss some applications of generalized neutrosophic pre-closed sets, namely neutrosophic p T 1 2 space and neutrosophic g p T 1 2 space. The concepts of generalized neutrosophic connected spaces, generalized neutrosophic compact spaces and generalized neutrosophic extremally disconnected spaces are established. Some interesting properties are investigated in addition to giving some examples.

scholarly journals Fine Fuzzy sp Closed Sets in Fine Fuzzy Topological Spaces

2020 ◽  
Vol 9 (3) ◽  
pp. 1306-1313
Keyword(s):  
Continuous Function ◽  
Topological Space ◽  
Inverse Image ◽  
Continuous Functions ◽  
Topological Spaces ◽  
The Novel ◽  
Closed Set ◽  
Closed Sets ◽  
Fuzzy Topological Space ◽  
Fuzzy Topological Spaces

The main view of this article is the extended version of the fine topological space to the novel kind of space say fine fuzzy topological space which is developed by the notion called collection of quasi coincident of fuzzy sets. In this connection, fine fuzzy closed sets are introduced and studied some features on it. Further, the relationship between fine fuzzy closed sets with certain types of fine fuzzy closed sets are investigated and their converses need not be true are elucidated with necessary examples. Fine fuzzy continuous function is defined as the inverse image of fine fuzzy closed set is fine fuzzy closed and its interrelations with other types of fine fuzzy continuous functions are obtained. The reverse implication need not be true is proven with examples. Finally, the applications of fine fuzzy continuous function are explained by using the composition.

scholarly journals More Functions Associated with Neutrosophic gsα*- Closed Sets in Neutrosophic Topological Spaces

2021 ◽  
Author(s):  
P. Anbarasi Rodrigo ◽  
S. Maheswari
Keyword(s):  
Continuous Function ◽  
Continuous Functions ◽  
Topological Spaces ◽  
Closed Sets

The concept of neutrosophic continuous function was very first introduced by A.A. Salama et al. The main aim of this paper is to introduce a new concept of Neutrosophic continuous function namely Strongly Neutrosophic gsα* - continuous functions, Perfectly Neutrosophic gsα* - continuous functions and Totally Neutrosophic gsα* - continuous functions in Neutrosophic topological spaces. These concepts are derived from strongly generalized neutrosophic continuous function and perfectly generalized neutrosophic continuous function. Several interesting properties and characterizations are derived and compared with already existing neutrosophic functions.

scholarly journals Continuous functions between sets with operations

2020 ◽  
Vol 24 (2) ◽  
pp. 225-239
Author(s):  
Fumie Nakaoka ◽  
Nobuyuki Oda
Keyword(s):  
Topological Space ◽  
Continuous Functions ◽  
Compact Spaces ◽  
Fundamental Properties ◽  
Connected Spaces

A set with an operation is a generalization of a topological space. Two types of continuous functions are dened between sets with operations. They are characterized making use of two types of closures and interiors. Homeomorphisms between sets with operations are also characterized. Variants of subspaces, connected spaces and compact spaces are introduced in a set with an operation and some fundamental properties of them are proved.

scholarly journals Weaklyα-continuous functions

1987 ◽  
Vol 10 (3) ◽  
pp. 483-490 ◽  
Author(s):  
Takashi Noiri
Keyword(s):  
Continuous Function ◽  
Hausdorff Space ◽  
Dense Subset ◽  
Continuous Functions ◽  
Weak Continuity ◽  
Topological Spaces ◽  
Connected Spaces

In this paper, we introduce the notion of weaklyα-continuous functions in topological spaces. Weakα-continuity and subweak continuity due to Rose [1] are independent of each other and are implied by weak continuity due to Levine [2]. It is shown that weaklyα-continuous surjections preserve connected spaces and that weaklyα-continuous functions into regular spaces are continuous. Corollary1of [3] and Corollary2of [4] are improved as follows: Iff1:X→Yis a semi continuous function into a Hausdorff spaceY,f2:X→Yis either weaklyα-continuous or subweakly continuous, andf1=f2on a dense subset ofX, thenf1=f2onX.

scholarly journals On generalized fuzzy strongly semiclosed sets in fuzzy topological spaces

2002 ◽  
Vol 30 (11) ◽  
pp. 651-657
Author(s):  
Oya Bedre Ozbakir
Keyword(s):  
Continuous Functions ◽  
Topological Spaces ◽  
Closed Sets ◽  
Fuzzy Topological Spaces

We introduce the concept of generalized fuzzy strongly semiclosed, generalized fuzzy almost-strongly semiclosed, generalized fuzzy strongly closed, and generalized fuzzy almost-strongly closed sets. In the light of these definitions, we also define some generalizations of fuzzy continuous functions and discuss the relations between these new classes of functions and other fuzzy continuous functions.

scholarly journals Onpairwise Compactness in Fuzzy Finebi-Topological Spaces

2020 ◽  
Vol 9 (3) ◽  
pp. 1122-1125
Keyword(s):  
Open Cover ◽  
Topological Spaces ◽  
Compact Spaces ◽  
Equivalent Statement ◽  
Connected Spaces

In this paper the concepts of Pairwise ( , ) Tif Tjf fuzzy fine dually open cover, Pairwise ( , ) Tif Tjf fuzzy fine dually compact spacesand Pairwise ( , ) Tif Tjf fuzzy fine connected spaces are introduced and also an equivalent statement on Pairwise ( , ) Tif Tjf fuzzy fine dually compact spaces is established.

scholarly journals Fuzzy Ideal Supra Topological Spaces

2020 ◽  
Author(s):  
Fadhil Abbas
Keyword(s):  
Topological Space ◽  
Fuzzy Set ◽  
Basic Structure ◽  
Continuous Functions ◽  
Topological Spaces ◽  
Local Function ◽  
Closed Sets ◽  
Fuzzy Ideal ◽  
Neighbourhood Structure

Abstract In this paper, we introduce the notion of fuzzy ideals in fuzzy supra topological spaces. The concept of a fuzzy s-local function is also introduced here by utilizing the s-neighbourhood structure for a fuzzy supra topological space. These concepts are discussed with a view to nd new fuzzy supra topologies from the original one. The basic structure, especially a basis for such generated fuzzy supra topologies and several relations between different fuzzy ideals and fuzzy supra topologies are also studied here. Moreover, we introduce a fuzzy set operator ΨS and study its properties. Finally, we introduce some sets of fuzzy ideal supra topological spaces (fuzzy *-supra dense-in-itself sets, fuzzy S*-supra closed sets, fuzzy *-supra perfect sets, fuzzy regular-I-supra closed sets, fuzzy-I-supra open sets, fuzzy semi-I-supra open sets, fuzzy pre-I-supra open sets, fuzzy α-I-supra open sets, fuzzy β-I-supra open sets) and study some characteristics of theses sets and then we introduce some fuzzy ideal supra continuous functions.

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