Results 21 to 30 of about 165 (115)

Multidimensional Topological Measure Spaces and Their Applications in Decision‐Making Problems

Advances in Fuzzy Systems, Volume 2026, Issue 1, 2026.
This paper presents a generalized framework termed the multidimensional topological measure space (MDTMS), developed through multidimensional fuzzy sets, multidimensional topology, and an associated distance measure. The suggested framework enhances traditional fuzzy models by facilitating a more nuanced representation and examination of intricate ...
Jomal Josen, Sunil Jacob John, T. Baiju, Shikha Binwal   +3 more
wiley   +1 more source

Bipolar Hesitant Fuzzy Soft Aggregation Operators and Their Application in Sustainable Warehouse Management

Journal of Mathematics, Volume 2026, Issue 1, 2026.
A sustainable warehouse management system aims to enhance warehouse operations while reducing contamination and resource utilization. Implementation of different policies for a sustainable warehouse management system is not easy because the factors involved are often vague and complex, which makes decision‐making difficult. To address these issues, the
Shahzaib Ashraf, Syed Ali Haider Shah, Ayesha Naeem, Gokul K. C., Francisco J. Garcia-Pacheco   +4 more
wiley   +1 more source

On intuitionistic fuzzy modal topological structures with modal operator of second type

Notes on Intuitionistic Fuzzy Sets, 2022
Two new Intuitionistic Fuzzy Modal Feeble Topological Structures (IFMFTSs) are introduced of fifth and sixth types. Examples for these structures are given.
openaire   +1 more source

Properties of Supra Equivalent Subsets and Their Applications via Supra R0 Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The extension of a topology by weakening its axioms is highly significant, as it generates new frameworks that preserve certain topological properties while allowing for the modeling of several practical problems. In this paper, we introduce the concept of supra equivalent subsets in the framework of a supra topological space and look at the main ...
Tareq M. Al-Shami, A. A. Azzam, Smritijit Sen   +2 more
wiley   +1 more source

Adding Neutrosophic Topological Indices to Graphs for Social Network Analysis

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Topological indices are widely used in graph analysis under uncertainty. However, existing fuzzy and intuitionistic approaches do not fully capture indeterminacy. Neutrosophic graphs, with their truth, indeterminacy and falsity components, offer a more comprehensive framework. Despite the frequent use of the Wiener index in neutrosophic contexts, other
S. R. Yaseen, A. M. Salih, M. W. Alomari, Smritijit Sen   +3 more
wiley   +1 more source

Structural Analysis of Two‐Fold Algebraic Systems Defined Over Fuzzy and Antifuzzy Groups

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study examines the structural properties of two‐fold algebras defined over fuzzy groups and antifuzzy groups. The corresponding two‐fold binary operations are introduced, and their fundamental algebraic features, such as associativity, identity elements, inverses, and finite order elements, are analyzed. In addition, several related substructures,
Ramazan Yaşar, G. Muhiuddin
wiley   +1 more source

Contraction‐Type Fixed‐Point Theorem for Bivariate/Multivariate Self‐Mappings in Fuzzy Banach Spaces and Hyers–Ulam Stability of Multivariate Functional Equations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
To address the lack of dedicated tools for analyzing the stability of bivariate functional equations in fuzzy environments, this paper investigates fixed‐point theory and functional equation stability in fuzzy Banach spaces (FBSs). First, building on the Bag–Samanta fuzzy norm, we supplement and prove the “proposition on convergence preservation of ...
Gang Lyu, Yang Liu, Yuanfeng Jin, Choonkil Park, Erhan Güler   +4 more
wiley   +1 more source

Delving Into the Depths of the Properties and Behavior of Bipolar Pythagorean Neutrosophic Metric Spaces: A Theoretical Analysis

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper advances the theory of bipolar Pythagorean neutrosophic fuzzy (BPNF) sets by establishing their formalization within a topological and metric framework, while also demonstrating their role in decision‐making under uncertainty. The main contributions are as follows: (1) definition and characterization of BPNF topological spaces, providing a ...
Akiladevi Natarajan, Santhi Rathinasamy, Prasantha Bharathi Dhandapani, Md. Fayz-Al-Asad, Samy R. Mahmoud, Tareq Al-Shami   +5 more
wiley   +1 more source

A New Fixed‐Point Framework for Nonexpansive and Averaged Mappings in Normed GE‐Algebras

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we develop a systematic framework for studying fixed‐point theory in the setting of normed GE‐algebras. Building on the GE‐norm, we introduce and analyze nonexpansive mappings, α‐averaged mappings, and enriched contractions with respect to the quasimetric induced by the GE‐norm.
Prashant Patel, Ravikumar Bandaru, Amal S. Alali, Erhan Güler   +3 more
wiley   +1 more source

The New Bipolar Intuitionistic Fuzzy Metric Space (NBIFM-Space) with Applications

Axioms
This paper introduces the New Bipolar Intuitionistic Fuzzy Metric Space (NBIFM-space)—a mathematical framework that extends intuitionistic and previously proposed bipolar intuitionistic structures by providing a complete three-component formulation based
Bratislav Iričanin, Tatjana Došenović, Nebojša M. Ralević, Biljana Carić   +3 more
doaj   +1 more source