[HTML][HTML] 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 …

[HTML][HTML] The relationship between ordinary and soft algebras with an application

ZA Ameen, TM Al-shami, R Abu-Gdairi, A Mhemdi - Mathematics, 2023 - mdpi.com
This work makes a contribution to the theory of soft sets. It studies the concepts of soft semi-
algebras and soft algebras, along with some operations. Then, it examines the relations of …

[HTML][HTML] Some classes of soft functions defined by soft open sets modulo soft sets of the first category

ZA Ameen, MH Alqahtani - Mathematics, 2023 - mdpi.com
Soft continuity can contribute to the development of digital images and computational
topological applications other than the field of soft topology. In this work, we study a new …

[HTML][HTML] Baire category soft sets and their symmetric local properties

ZA Ameen, MH Alqahtani - Symmetry, 2023 - mdpi.com
In this paper, we study soft sets of the first and second Baire categories. The soft sets of the
first Baire category are examined to be small soft sets from the point of view of soft topology …

[HTML][HTML] Congruence representations via soft ideals in soft topological spaces

ZA Ameen, MH Alqahtani - Axioms, 2023 - mdpi.com
This article starts with a study of the congruence of soft sets modulo soft ideals. Different
types of soft ideals in soft topological spaces are used to introduce new weak classes of soft …

[PDF][PDF] The connection between ordinary and soft σ-algebras with applications to information structures

TM Al-Shami, ZA Ameen, A Mhemdi - AIMS Math, 2023 - aimspress.com
The paper presents a novel analysis of interrelations between ordinary (crisp) σ-algebras
and soft σ-algebras. It is known that each soft σ-algebra produces a system of crisp …

[HTML][HTML] Soft super-continuity and soft delta-closed graphs

D Abuzaid, S Al Ghour, M Naghi - Plos one, 2024 - journals.plos.org
Introducing a strong form of soft continuity between soft topological spaces is significant
because it can contribute to our growing understanding of soft topological spaces and their …

Measurable soft mappings

M Riaz, K Naeem - Punjab University Journal of mathematics, 2020 - journals.pu.edu.pk
The goal of this paper is to throw light on the novel concept of measurable soft mappings.
The criteria for an extended real-valued soft mapping to be a Lebesgue measurable soft …

[PDF][PDF] Novel concepts of soft sets with applications

M Riaz, K Naeem, MO Ahmad - Annals of Fuzzy Mathematics and …, 2017 - afmi.or.kr
We introduce different concepts of soft sets, including soft σ-ring, soft algebra, and soft σ-
algebra. We present different types of set functions, including soft finitely sub-additive, soft …

Picture fuzzy soft -algebra and picture fuzzy soft measure and their applications to multi-criteria decision-making

K Naeem, S Memiş - Granular Computing, 2023 - Springer
The concept of picture fuzzy soft sets (PFSSs) has been introduced as an efficacious
extension of intuitionistic fuzzy soft sets to model uncertain information, especially when …