Results 41 to 50 of about 216 (161)

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

On Fermatean Neutrosophic e-continuous and e-irresolute Maps [PDF]

Neutrosophic Sets and Systems
The primary objective of this paper is to introduce and develop the concept of Fermatean neutrosophic e-continuous maps in the framework of Fermatean neutrosophic topological spaces.
A. Vadivel, P. Thamilarasi, S. Priya
doaj   +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 Novel Intuitionistic Fuzzy Inhibitor Arc Petri Net With Error Back Propagation Algorithm and Application in Fault Diagnosis

IEEE Access, 2019
The setting and adjustment of the weight parameters in the traditional fault diagnosis method depend entirely on personal experience, and the parameter setting lacks regularity.
Mingyue Tan, Jiming Li, Guangyuan Xu, Xuezhen Cheng   +3 more
doaj   +1 more source

Covering properties in intuitionistic fuzzy topological spaces [PDF]

Kybernetes, 2007
PurposeD.Çoker constructed the fundamental theory of intuitionistic fuzzy topological spaces. The purpose of this paper is to introduce a new concept of compactness and a definition of paracompactness for intuitionistic fuzzy topological spaces, and obtain several preservation properties.Design/methodology/approachTwo new covering properties in ...
openaire   +3 more sources

Intuitionistic Fuzzy Soft Topology via Neighborhood

Maltepe Journal of Mathematics, 2023
In this paper, we bring out some properties of intuitionistic fuzzy soft topology by using the concept of neighborhood. Firstly, we introduce the concept of intuitionistic fuzzy soft point differently from the previous published papers which is related to intuitonistic fuzzy soft point and study some of its basic properties.
openaire   +3 more sources

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

Degree‐Based Fuzzy Topological Indices of Multipolar q‐Rung Orthopair Fuzzy Flower Graph

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Fuzzy topological indices have diversified applications in fuzzy environment because the physicochemical properties of chemical structures can be determined by these indices. It is beneficial to compute these topological indices for fuzzy multicriteria decision‐making problems.
Nabilah Abughazalah, Naveed Yaqoob, Andleeb Kausar, Muhammad Gulistan, Smritijit Sen   +4 more
wiley   +1 more source

A mathematical approach to optimizing brand school placement via intuitionistic Sombor indices

Alexandria Engineering Journal
The property of fuzziness is advantageous for any setting where a problem prediction and solution are intended. In comparison to the classical approach (crisp set), fuzzy graphs are beneficial as they provide greater precision and flexibility ...
Shabana Anwar, Muhammad Kamran Jamil, Muhammad Azeem, Tapan Senapati, Sarbast Moslem   +4 more
doaj   +1 more source

Categorical Aspects of Intuitionistic Fuzzy Topological Spaces

The International Journal of Fuzzy Logic and Intelligent Systems, 2015
In this paper, we obtain two types of adjoint functors between the category of intuitionistic fuzzy topological spaces in Mondal and Samanta’s sense, and the category of intuitionistic fuzzy topological spaces in ?ostak’s sense. Also, we reveal that the category of Chang’s fuzzy topological spaces is a bireflective full subcategory of the category of ...
Jin Tae Kim, Seok Jong Lee
openaire   +2 more sources