Results 61 to 70 of about 2,665 (190)

The Role of Generalized β−J Contraction Mappings in Neutrosophic Metric Spaces and Its Applications

Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.
In this study, we have introduced the neutrosophic generalized β−J contraction as a generalization of the neutrosophic J‐contraction with admissible mappings. Sufficient conditions for the existence and uniqueness of the fixed points for a neutrosophic generalized β−J contraction are derived in complete strong neutrosophic metric spaces (SNMSs).
M. Pandiselvi, M. Jeyaraman, Rahul Shukla, Mohammad Safi Ullah   +3 more
wiley   +1 more source

Fixed Point Results for Geraghty Type Contraction Mapping in Neutrosophic b‐Metric Spaces

Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.
In this article, we introduce the C‐triangular property and develop a new class of Geraghty‐type contractions within the framework of neutrosophic b‐metric spaces. These tools allow us to derive several new fixed point theorems that not only generalize the classical results but also provide a unified approach to various existing contraction principles.
M. Pandiselvi, M. Jeyaraman, Rahul Shukla, Deepali   +3 more
wiley   +1 more source

Topological Aspects of Set-Valued Mappings Defned on Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems
Samarandache [43] introduced neutrosophoic sets to generalize the theory of fuzzy sets. In this paper we modify the definition of neutrosophic normed space with help of continuous neutrosophic t-representable norm. Then we study the statistical graphical
Vakeel A Khan, Mohd Kamran
doaj   +1 more source

Exploring n‐Dimensional Fuzzy Soft Sets: A Framework for Multicriteria Decision‐Making Problems

Advances in Fuzzy Systems, Volume 2025, Issue 1, 2025.
This study introduces several operations on n‐dimensional fuzzy sets, including union, intersection, and complement, and examines the validity of De Morgan’s law within this framework. To further elucidate the conceptual underpinnings, the study also presents illustrative examples of t‐norm, t‐conorm, and negation operations on n‐dimensional fuzzy sets.
Shifa Mol A. P., Sunil Jacob John, Athira T. M., Mohamed Hamdy   +3 more
wiley   +1 more source

Generator of Fuzzy Implications

Algorithms, 2023
In this research paper, a generator of fuzzy methods based on theorems and axioms of fuzzy logic is derived, analyzed and applied. The family presented generates fuzzy implications according to the value of a selected parameter.
Athina Daniilidou, Avrilia Konguetsof, Georgios Souliotis, Basil Papadopoulos   +3 more
doaj   +1 more source

Optimizing the Hexagonal Fuzzy Transportation Problem With the Novel Dhouib‐Matrix‐TP1 Method

Advances in Fuzzy Systems, Volume 2025, Issue 1, 2025.
Transportation Problem (TP) is considered a combinatorial optimization problem, and its aim is to minimize the total transportation cost from several sources to different destinations. In this paper, an intensive literature review of the TP is presented in detail with an enhancement of the novel heuristic entitled Dhouib‐Matrix‐TP1 (DM‐TP1) to solve ...
Souhail Dhouib, Aida Kharrat, Taicir Loukil, Habib Chabchoub, Antonin Dvorák   +4 more
wiley   +1 more source

Optimized Selection of Renewable Energy Sources Based on Regional Potentials in Colombia: A Comparative Analysis of AHP and FAHP for Sustainable Development

International Journal of Energy Research, Volume 2025, Issue 1, 2025.
This study evaluates alternatives using the analytic hierarchy process (AHP) and Fuzzy AHP (FAHP) methodologies across five scenarios (SC1 to SC5), aiming to compare the effectiveness of both approaches in integrating environmental and technical criteria.
Christian Manuel Moreno Rocha, Daina Arenas Buelvas, Itzjak Vega Machado, Juan Pacheco Peña, Samuel Lalthazuala Rokhum   +4 more
wiley   +1 more source

A Binary Intuitionistic Fuzzy Relation: Some New Results, a General Factorization, and Two Properties of Strict Components

International Journal of Mathematics and Mathematical Sciences, 2009
We establish, by means of a large class of continuous t-representable intuitionistic fuzzy t-conorms, a factorization of an intuitionistic fuzzy relation (IFR) into a unique indifference component and a family of regular strict components.
Louis Aimé Fono, Gilbert Njanpong Nana, Maurice Salles, Henri Gwet   +3 more
doaj   +1 more source

Strict Archimedean t-norms and t-conorms as universal approximators

International Journal of Approximate Reasoning, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen, Hung T., Kreinovich, Vladik, Wojciechowski, Piotr   +2 more
openaire   +1 more source

On q`‐Rung Orthopair Neutrosophic Metric Spaces and Topological Properties

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we introduce the novel structure of the q`‐rung orthopair neutrosophic metric space (q`‐RˇONM∧S), which unifies and extends the frameworks of q`‐rung orthopair fuzzy sets and neutrosophic metric spaces. The proposed model incorporates membership, nonmembership, and indeterminacy degrees within a q`‐rung orthopair framework, thereby ...
N. Muthulakshmi, D. Poovaragavan, M. Jeyaraman, Rahul Shukla, AbdelMaksoud Soliman   +4 more
wiley   +1 more source