Results 41 to 50 of about 7,396,941 (151)

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

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

An Overview on intuitionistic fuzzy topological spaces [PDF]

, 2021
We present a brief overview some fundamental results on the intuitionistic fuzzy topological spaces, and give some introductory results about fuzzy open set, fuzzy closed set, fuzzy neighborhood, fuzzy interior set, fuzzy continuity, fuzzy compactness ...
Irwan, Abdy, Muhammad, Irwan, Irwan, Suzelawati Zenian, Zenian, Suzelawati, M Abdy   +5 more
core   +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

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

Intuitionistic fuzzy topological spaces [PDF]

, 2013
The present thesis consisting of three chapters is devoted to the study of Intuitionistic fuzzy topological spaces. After giving the fundamental denitions we have discussed the concepts of intuitionistic fuzzy continuity, intuitionistic fuzzy compactness,
Das , Smrutilekha
core  

Complex‐Valued Fuzzy Topological Spaces: Theory and Seasonal Pattern Prediction

Journal of Mathematics, Volume 2026, Issue 1, 2026.
A new approach based on the concept of fuzzy spaces (F‐spaces) for the study of fuzzy topological spaces was developed by Dib in 1999. Extending that line of inquiry, a subset of the current authors previously investigated further topological notions, including boundary, exterior, isolated points and separation axioms, within Dib’s fuzzy‐space ...
Mohammad Hazaimeh, Ibrahim Jawarneh, Hasan Almutairi, Abd Ulazeez Alkouri, Smritijit Sen   +4 more
wiley   +1 more source

On Covering Prosperities via Neutrosophic e‐Open Set in Neutrosophic Topological Space

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This research presents and explores a novel category of compactness in neutrosophic topological spaces (NTSs), termed neutrosophic e‐compact and neutrosophic locally e‐compact. This category is positioned within the frameworks of neutrosophic δ‐semicompactness and neutrosophic δ‐precompactness, while also encompassing neutrosophic β‐compactness.
Wadei Al-Omeri, Ammar Alsinai
wiley   +1 more source

On Fuzzy $e$-open Sets, Fuzzy $e$-continuity and Fuzzy $e$-compactness in Intuitionistic Fuzzy Topological Spaces [PDF]

, 2018
The purpose of this paper is to introduce and study the concepts of fuzzy $e$-open set, fuzzy $e$-continuity and fuzzy $e$-compactness in intuitionistic fuzzy topological spaces.
Durairaj Sobana, Veerappan Chandrasekar, Appachi Vadivel   +2 more
core   +2 more sources

Directional Diffusion Probabilistic Modelling With Fuzzy Similarity Fields for Multipolarized Petrographic Registration

Modelling and Simulation in Engineering, Volume 2026, Issue 1, 2026.
Accurate registration of multipolarized petrographic thin‐section images is essential for quantitative characterization of rock microstructures under plane‐polarized and cross‐polarized illumination. However, conventional diffusion probabilistic models struggle with the pronounced uncertainty arising from birefringence, textural heterogeneity ...
Wenqiang Wang, Bowei Chen, Bo Yan, Xin Chen, Wenmin He, Yongwei Wang, Lei Peng, Andong Wang, Marco Bonopera   +8 more
wiley   +1 more source