A systematic literature review of soft set theory

JCR Alcantud, AZ Khameneh, G Santos-García… - Neural Computing and …, 2024 - Springer
Soft set theory, initially introduced through the seminal article “Soft set theory—First results”
in 1999, has gained considerable attention in the field of mathematical modeling and …

On primal soft topology

TM Al-shami, ZA Ameen, R Abu-Gdairi, A Mhemdi - Mathematics, 2023 - mdpi.com
In a soft environment, we investigated several (classical) structures such as ideals, filters,
grills, etc. It is well known that these structures are applied to expand abstract concepts; in …

A new operator of primal topological spaces

A Al-Omari, S Acharjee, M Özkoç - arXiv preprint arXiv:2210.17278, 2022 - arxiv.org
Recently, Acharjee et al.[S. Acharjee, M.\" Ozko\c {c} and FY Issaka, Primal topological
spaces, arXiv: 2209.12676 [math. GM]] introduced a new structure in topology named primal …

Categories of open sets in generalized primal topological spaces

H Al-Saadi, H Al-Malki - Mathematics, 2024 - mdpi.com
In this research article, we define some categories of open sets over a generalized
topological space given together with a primal collection. In addition, we clarify some of its …

Primal-proximity spaces

A Al-Omari, M Ozcog, S Acharjee - arXiv preprint arXiv:2306.07977, 2023 - arxiv.org
The main purpose of this paper is to introduce and study the primal-proximity spaces. Also,
we define two new operators via primal proximity spaces and investigate some of their …

Novel fuzzy topologies from old through fuzzy primals

ZA Ameen, RA Mohammed, TM Al-shami… - arXiv preprint arXiv …, 2023 - arxiv.org
In this paper, we introduce a novel fuzzy structure named" fuzzy primal". We study the
essential properties and discuss basic operations on it. A fuzzy operator (.) $^\diamond $ on …

Primal structure with closure operators and their applications

A Al-Omari, MH Alqahtani - Mathematics, 2023 - mdpi.com
Acharjee et al. have created a new structure in mathematics called a primal. Therefore, the
primary goal of this research was to introduce and explore more primal space features …

Novel fuzzy topologies formed by fuzzy primal frameworks

ZA Ameen, RA Mohammed… - Journal of Intelligent …, 2024 - content.iospress.com
This paper introduces a new fuzzy structure named “fuzzy primal.” Then, it studies the
essential properties and discusses their basic operations. By applying the q-neighborhood …

An Introduction to Single-Valued Neutrosophic Primal Theory

F Alsharari, H Alohali, Y Saber, F Smarandache - Symmetry, 2024 - mdpi.com
This article explores the interconnections among the single-valued neutrosophic grill, single-
valued neutrosophic primal and their stratification, uncovering their fundamental …

[HTML][HTML] Strong GP-continuity and weakly GP-closed functions on GPT spaces

H Al-Saadi, H Al-Malki - Journal of King Saud University-Science, 2024 - Elsevier
In this research article, we present the procedure of generating GPT spaces in two different
ways: using the generalized neighbourhood system and the monotonic operator. Then, we …