On Soft Somewhere Dense Open Functions and Soft Baire Spaces

The journal of mathematics and computer science, 2023

In this paper, we first explore more properties of soft somewhere dense continuous functions. Then, we discuss the preservation of soft Baire property and soft Baire category. We give some concrete examples to illustrate how our findings extend some conclusions and connections made in the literature.

International Journal of Advanced Science and Engineering, 2018

In this paper we investigate fuzzy soft semi Baire spaces are studied and introduced the characterizations of fuzzy soft semi baire spaces are studied. Several examples are given to illustrate the concepts introduced in this paper. ABSTRACT: In this paper we investigate fuzzy soft semi Baire spaces are studied and introduced the characterizations of fuzzy soft semi baire spaces are studied. Several examples are given to illustrate the concepts introduced in this paper.

2021

In this paper, we define a soft somewhat open set using the soft interior operator. We study main properties the class of soft somewhat open sets that is contained in the class soft somewhere dense sets. Then, we introduce the classes of soft somewhat continuous and soft somewhat open functions and soft somewhat homeomorphisms. Moreover, we study properties and characterizations of soft somewhat continuous and soft somewhat open functions. At last, we discuss topological invariants for soft somewhat homeomorphisms. Multiple examples are offered to clarify some invalid results.

Wasit journal for pure sciences, 2024

In the context of soft classes, Athar Kharal and B. Ahmad [6] defined a soft mapping and investigated some characteristics of soft set images and inverse images. The references ([7], [8] [9], [10], [11], [12], [13]) introduced and ABSTRACT: This paper introduces novel concepts of soft functions known as soft-irresolute, soft-open, and soft-closed function as well as some of their properties. The interrelationships of this newly defined soft functions with other types of soft functions are investigated, and the behaviors of soft-irresolute (respectively, soft-open, and soft-closed) functions under soft composition are studied. Finally, using soft-open sets, the concepts of soft-Hausdorff space are introduced and investigated.

Science journal of University of Zakho, 2019

The objective of studing the current paper is to introduced a new class of soft open sets in soft topological spaces called soft "-open sets. Then soft "-open sets are used to study some soft topological concepts. Furthermore, the concept of soft "-continuous and almost soft "-continuous functions are defined by using the soft "-open sets. Some properties and Characterizations of such functions are given.

Abstract and Applied Analysis, 2014

We introduce softα-sets on soft topological spaces and study some of their properties. We also investigate the concepts of softα-continuous and softα-open functions and discuss their relationships with soft continuous and other weaker forms of soft continuous functions. Also counterexamples are given to show the noncoincidence of these functions.Corrigendum to “Soft α-Open Sets and Soft α-Continuous Functions”

2017

The main objective of this paper is to introduce and define a new class of sets called soft -open sets in soft topological spaces, which is subclass of soft pre-open sets. Several properties of this kind of sets are obtained. By using this soft set we present and study the concept of soft -continuous functions.

Iraqi Journal of Science, 2020

In this paper, we offer and study a novel type generalized soft-open sets in topological spaces, named soft Ƅc-open sets. Relationships of this set with other types of generalized soft-open sets are discussed, definitions of soft Ƅ , soft bc- closure and soft bc- interior are introduced, and its properties are investigated. Also, we introduce and explore several characterizations and properties of this type of sets.

Advances in Mathematics: Scientific Journal, 2020

In this paper, we introduce the concept of soft dense subsets. We give characterizations of soft continuity in terms of soft dense subsets and in terms of convergent sequences of soft maps taken from soft dense subsets. We obtain (i) an extension theorem for a soft continuous map which is defined on soft dense subsets of the domain (ii) soft continuity of a soft map in terms of the soft continuity of its restrictions to members of a soft cover of the domain having soft dense intersection.

In this article semi-open and semi-closed sets on a fuzzy soft topological space are introduced and some properties have been studied. Fuzzy soft semi closure and fuzzy soft semi interior operators are also introduced and studied. Semi-continuous, semi-open, semi-clsoed and irresolute fuzzy soft functions on a fuzzy soft topological space are introduced and characterized.