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Кафедра : Uygulamalı Matematik ... ✕Тематический рубрикатор : soft element ✕
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On elementary soft compact topological spaces

İsmet ALTINTAŞ

This paper is a work on elementary soft (𝜖-soft) compact spaces. We first define the cofinite 𝜖- soft compact space and prove that the image of an 𝜖-soft compact space under a soft continuous mapping is 𝜖-soft compact space. We then examine the relationship between 𝜖-soft compact space and classical compact space and give an illustrative example.

Статья 2021 Fen Fakültesi MANAS Journal of Engineering (MJEN)9 ( 2 ) 59 Просмотры
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Soft partial metric spaces

İsmet ALTINTAŞ | Peyil Esengul Kızı

This paper is an introduction to soft partial metric spaces. The aim is to create a soft topological model for a programming language described as a soft logic system, like in classical partial metric studies. Since the soft metric spaces have Hausdorff properties, they are not useful in examining non-Hausdorff soft topologies. This paper proposes a generalized soft metric for non-Hausdorff soft topologies and a new approach that guides how to expand soft metric implements like the Banach theorem to such topologies.

Статья 2022 Fen Fakültesi Soft Computing28 ( 18 ) 24 Просмотры
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A new approach for soft topology and soft function via soft element

İsmet ALTINTAŞ

In this article, we give some new properties of elementary operations on soft sets and then we introduce a new soft topology by using elementary operations over a universal set with a set of parameters called elementary soft topology. Also, we define a topology, members of which are collections of the soft elements and give the relation between this topology and elementary soft topology. We show that this new soft topology is different from those previously defined soft topologies. We prove some of the properties of the topological concepts we investigate in this topology. Finally, we describe ...Более

Статья 2020 Fen Fakültesi Mathematical Methods in the Applied Sciences44 ( 9 ) 68 Просмотры
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Countable and separable elementary soft topological space

İsmet ALTINTAŞ

This paper is an introduction to countable and separable elementary soft topological spaces, which includes concepts such as dense soft set, first countability, second countability, separability and Lindelof properties and some basic properties of them in the elementary soft topological spaces.

Статья 2020 Fen Fakültesi Mathematical Methods in the Applied Sciences44 ( 9 ) 39 Просмотры
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