Explanipedia

T-Norm Uncertainty Soft Modulo Group With Respect to Inclusion of Soft Sets Open

Rathinam Nagarajan · 2025

In this paper, we introduce the notion of T-fuzzy soft N-subgroups by using Molodtsov’s definition of soft sets and investigate their related properties with respect to α-inclusion of soft sets.

T-Norm Uncertainty Soft Modulo Group With Respect to Inclusion of Soft Sets Open

Rathinam Nagarajan · 2025

In this paper, we introduce the notion of T-fuzzy soft N-subgroups by using Molodtsov’s definition of soft sets and investigate their related properties with respect to α-inclusion of soft sets.

Isolated Monad Points on Amply Soft Topological Spaces Open

Gürkan Karakaş, Orhan Göçür, Abdullah Kopuzlu · 2025

In this study, isolated monad points are introduced. For any amply soft set, an amply soft set of isolated monad points on amply soft topological spaces is defined. The relationship between limit monad points, closure points and isolated m…

Soft Connectedness, Soft Path Connectedness and the Category of Soft Topological Groups Open

Alemdar, Nazmiye, Akız, Hürmet Fulya, Ayaz, Halim · 2025

In this study, the soft usual topology compatible with the usual topology of $\mathbb{R}$ is defined, and using its subspace topology on the interval $[0,1]$, the concept of a soft path is introduced. Within this context, the notions of so…

Soft Connectedness, Soft Path Connectedness and the Category of Soft Topological Groups Open

Alemdar, Nazmiye, Akız, Hürmet Fulya, Ayaz, Halim · 2025

In this study, the soft usual topology compatible with the usual topology of $\mathbb{R}$ is defined, and using its subspace topology on the interval $[0,1]$, the concept of a soft path is introduced. Within this context, the notions of so…

Double framed T-bipolar soft sets and their applications in decision making Open

Department of Mathematics, Faculty of Engineering and Computer Sciences, National University of Modern Languages (NUML), H-9, Islamabad, Pakistan, Jabbar Ahmmad, Tahir Mahmood, Department of Mathematics and Statistics, International Islamic University Islamabad, Pakistan, Jabbar Ahmmad , et al. · 2025

Handling symmetric information that involves both positive and negative aspects, while avoiding data loss and a two-dimensional nature, has always been a problem for researchers. So far, no structure is available to address this issue. In …

BEST APPROXIMATION IN SOFT METRIC SPACES Open

Dilip Kumar Sah · 2025

This article examines best approximation within soft metric spaces, a framework that effectively models uncertain and imprecise data. Extending classical best approximation theory, defining soft best approximation distance and establish th…

A STUDY OF THE ENERGY OF SOFT GRAPHS Open

P. Sakthi Amaravathi · 2025

The concept of energy in soft graphs are established and also present various findings regarding the energy operations of soft graphs. We demonstrate that some of these results are accompanied by illustrative examples.

A Game-Theoretic Perspective on Soft Topology: Linking Banach-Mazur Games with Soft Spaces Open

K. Amutha · 2025

This paper introduces a novel link between soft topology and game topology by exploring Banach-Mazur-type games in the context of soft topological spaces. After presenting foundational concepts of both soft and game topology, we define gam…

A novel framework for handling uncertainty: Intuitionistic fuzzy rough soft sets Open

Quang‐Thinh Bui, Thanh Hao Nguyen, Hung Son Nguyen, Bay Vo · 2025

PolyTree-Soft Sets and PolyForest-Soft Sets: A Directed Acyclic Framework for Soft Set Modeling Open

Takaaki Fujita · 2025

Various mathematical frameworks have been developed to handle uncertainty, including the concepts of Fuzzy Sets and Neutrosophic Sets. Among these, Soft Sets provide a powerful and flexible approach to decision-making by mapping parameters…

Quantified Possibility Neutrosophic Soft Set Based Decision Support System for Enhanced Accuracy in Sustainable Supplier Selection Decision Analysis Open

Neha Andaleeb Khalid, Muhammad Saeed · 2025

Soft derivative Open

Burak Arslan, Serdar Enginoğlu · 2025

This study presents a comprehensive investigation of soft and upper (lower) soft derivatives within the framework of Molodtsov’s soft set theory, extending it through the introduction of novel and complementary notions: left and right soft…

Note for Soft MultiExpert Set and MultiSoft MultiExpert Set Open

Takaaki Fujita · 2025

Modern frameworks for modeling uncertainty and guiding decision-making—such as fuzzy sets, intuitionistic fuzzy sets, neutrosophic sets, hesitant fuzzy sets, and soft sets—have been the focus of extensive research. Soft sets capture vaguen…

Harnessing Quantum Superposition in Soft Set Theory: Introducing Quantum Hypersoft and SuperHyperSoft Sets Open

T. Fujita, Florentín Smarandache · 2025

This paper presents two novel extensions of the Quantum Soft Set framework by integrating the hierarchical structures of hypersoft and superhypersoft sets with quantum superposition principles. Soft sets offer a versatile approach to decis…

On Parameterized Time Neutrosophic Soft Set and its Aplication Open

Ayman Hazaymeh, Anwar Bataihah, Majdoleen Abu Qamar, Naser Alodat, Alaa Melhem · 2025

In his doctoral dissertation, Ayman A. Hazaymeh presented the idea of time-fuzzy soft set in 2013, which is an extension of fuzzy soft set[1]. In this work, we present the idea of the parameterized time neutrosophic soft set, which is an e…

Soft union-plus product of groups Open

Zeynep Sonay Ay, Aslıhan Sezgin · 2025

A rigorous and expressive algebraic framework for modeling systems with uncertainty, ambiguity, and parameter-dependent variability is offered by soft set theory. In this paper, we present a new binary operation on soft sets whose paramete…

Some New Classifications of Soft Subsets and Soft Equalities with Soft Symmetric Difference-Difference Product of Groups Open

Aslıhan Sezgin, İbrahim Durak, Zeynep Sonay Ay · 2025

Soft sets provide a comprehensive mathematical framework for tackling uncertainty. Soft set operations and products are fundamental to soft set theory, offering innovative solutions to problems that involve parametric data. In this study, …

Soft Binary Piecewise Theta Operation: A New Operation for Soft Sets Open

Aslıhan Sezgin, Eda Yavuz, T. Manikantan · 2025

After being presented by Molodtsov in 1999, soft set theory became well-known as a novel strategy for resolving uncertainty-related issues and modeling uncertainty. It has several uses in both theoretical and real-world settings. In this s…

An Algorithm for Group Decision Making Problems via Soft Set Relations Open

Nazan Çakmak Polat · 2025

Decision-making is a critical process in various fields, often complicated by uncertainty and incomplete information. Soft set theory, introduced as a mathematical tool to handle such uncertainties, offers a flexible and efficient framewor…

DECISION MAKING WITH BIJECTIVE SOFT ROUGH SET MODEL Open

Nurettin Bağırmaz · 2025

Rough sets and soft sets are two important mathematical tools for dealing with uncertainty. Methods that combine properties of both sets can provide more effective solutions in certain applications. This paper aims to present an applicatio…

Neutrosophic Soft Set with Application in Decision Making: A Case Study on Online Food Delivery Open

Faizal Mohamed, Nordin Ramli, Siti Hajar Aisyah Binti Mohamed Saedan · 2025

The global online food delivery (OFD) market has experienced significant growth, particularly accelerated by the COVID-19 pandemic. This surge is largely attributed to the convenience of ordering meals online and having them delivered dire…

Decision-Making Method That Prioritizes User Ranking by Using Intuitionistic Fuzzy Soft Set Open

Gözde Yaylalı · 2025

Decision-making holds significant importance in real life applications. To manage uncertainties in practical applications, soft sets, fuzzy sets and fuzzy soft sets are commonly used nowadays. Also, the effectiveness of intuitionistic fuzz…

Interval-Valued Complex Neutrosophic Sets and Complex Neutrosophic Soft Topological Spaces Open

Maha Mohammed Saeed, Sami Ullah Khan, Fatima Suriyya, Arif Mehmood, Jamil Hamja · 2025

Network performance is the evaluation and assessment of collective network statistics, to define the quality of services offered by the computer network. It is a qualitative and quantitative technique that measures and defines the performa…

Decision-Making with Fermatean Neutrosophic Vague Soft Sets Using a Technique for Order of Preference by Similarity to Ideal Solution Open

Najla Althuniyan, Abedallah Al-shboul, Sarah Aljohani, Kah Lun Wang, Kok Bin Wong , et al. · 2025

This study addresses the challenge of effectively modeling uncertainty and hesitation in complex decision-making environments, where traditional fuzzy and vague set models often fall short. To overcome these limitations, we propose the Fer…

Decision-making approaches focusing on best parameter-object pair for soft set Open

Orhan Dalkılıç · 2025

The pursuit of studies related to the parameterization tool, which offers advantageous gains in analyzing data in uncertain contexts, continues to hold great importance. This research revolves around the parameterization tool originally in…

Rough Set Theory and Soft Computing Methods for Building Explainable and Interpretable AI/ML Models Open

Sami Naouali, Oussama El Othmani · 2025

This study introduces a novel framework leveraging Rough Set Theory (RST)-based feature selection—MLReduct, MLSpecialReduct, and MLFuzzyRoughSet—to enhance machine learning performance on uncertain data. Applied to a private cardiovascular…

A Hierarchical Soft Computational Model for Optimizing Agricultural UAVs: Recruiting Neutrosophic Theory and Tree Soft Sets Open

Mona Mohamed, Nurhan Alaa, Bilal Arain, Karam M. Sallam · 2025

Weighted Soft Set and its Application in Parameterized Decision Making Processes Open

H. M. Balami, Aliyu G. Dzarma, Mohammed A. Mohammed · 2025

In this research, we reviewed the notion of soft set and some of its application in decision making cases and observed that, there is need to introduce weighted parameterized soft set and its applications in real-life decision-making proce…

Effective Fuzzy Parameterized Soft Set with Application in Decision Making Open

Umar F. Muhammad, Elijah E. Edeghagba, Yakub Y. Ejalonibu, Hauwa M. Muhammad · 2025

In this paper, we introduce the concept of effective fuzzy parameterized soft set in the framework of effective set; where the decision on the selection of any element in the power set of the universal set is influenced by the effects the …