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Relevant bibliographies by topics / Neutrosophic concept

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Academic literature on the topic 'Neutrosophic concept'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Neutrosophic concept"

1

Gulistan, Muhammad, Florentin Smarandache, and Amir Abdullah. "An application of complex neutrosophic sets to the theory of groups." International Journal of Algebra and Statistics 7, no. 1-2 (2018): 94–112. http://dx.doi.org/10.20454/ijas.2018.1455.

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In this article we introduce the concept of complex neutrosophıc subgroups (normal subgroups). We define the notion of alpha-cut of complex neutrosophıc set, give examples and study some of its related results. We also define the Cartesian product of complex neutrosophic subgroups. Furthermore, we introduce the concept of image and preimage of complex neutrosophic set and prove some of its properties.

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Al-Odhari, Adel Mohammed. "Axiomatic of Neutrosophic Groups." مجلة جامعة صنعاء للعلوم التطبيقية والتكنولوجيا 2, no. 2 (2024): 205–14. http://dx.doi.org/10.59628/jast.v2i2.793.

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The aim of this article is to; present a neutrosophic group according to axioms such as classical group theory and the neutrosophic set, and to study some properties and theorems related to the neutrosophic group. The new concept of the neutrosophic set is a new approach that is suitable for mathematical problems related to philosophical concepts, such as uncertainty and indeterminacy, in which human knowledge and human evaluation are necessary. Neutrosophic algebra is a branch of neutrosophic set theory, and in 2004, Kandasamy and Smarandache introduced basic neutrosophic algebraic structures

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Voskoglou, Michael Gr. "From Zadeh’s Fuzziness to Smarandache’s Neutrosophy: A Review." International Journal of Applied Mathematics, Computational Science and Systems Engineering 4 (December 31, 2022): 98–104. http://dx.doi.org/10.37394/232026.2022.4.13.

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The present paper reviews the process that led from Zadeh’s fuzziness to Smarandache’s neutrosophy. Starting from fuzzy sets and logic and Atanassov’s intuitionistic fuzzy sets, it proceeds to a detailed study of the concept of neutrosophic set, which takes in account the existing in real life indeterminacy. The basic operations on neutrosophic sets are defined and the classical notion of topological space is extended to the notion of neutrosophic topological space, where fundamental properties and concepts like convergence, continuity, compactness and Hausdorff topological spaces are naturall

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Al-Odhari, Adel Mohammed. "Neutrosophic Cosets and Neutrosophic Normal Subgroups of Neutrosophic Groups Associated With Gt1 [I]." مجلة جامعة صنعاء للعلوم التطبيقية والتكنولوجيا 3, no. 3 (2025): 848–60. https://doi.org/10.59628/jast.v3i3.1666.

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The Article discusses neutrosophic left/right cosets, their properties, neutrosophic normal subgroups, and neutrosophic quotient groups with some theories and examples. The concept of Neutrosophic Groups was introduced by Kandasamy and Smarandache in their work in 2006 as part of a broader field of research in neutrosophy. Neutrosophic Groups are defined by classical NeutroAxioms according to the Neutrosophic Set theory, which has type-1, The paper explores various structures related to Neutrosophic Groups, including examples of neutrosophic groups, neutrosophic left/right cosets, neutrosophic

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Madhumathi, T., and F. NirmalaIrudayam. "Neutrosophic Orbit Topological Spaces." Trends in Sciences 18, no. 24 (2021): 1443. http://dx.doi.org/10.48048/tis.2021.1443.

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Neutrosophy is a flourishing arena which conceptualizes the notion of true, falsity and indeterminancy attributes of an event. In the study of dynamical systems, an orbit is a collection of points related by the evolution function of the dynamical system. Hence in this paper we focus on introducing the concept of neutrosophic orbit topological space denoted as (X, tNO). Also, some of the important characteristics of neutrosophic orbit open sets are discussed with suitable examples. HIGHLIGHTS  The orbit in mathematics has an important role in the study of dynamical systems&#x

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Ishtiaq, Umar, Khaleel Ahmad, Farhan Ali, Moazzama Faraz, and Ioannis K. Argyros. "Common Fixed-Point Theorems for Families of Compatible Mappings in Neutrosophic Metric Spaces." Foundations 3, no. 4 (2023): 738–65. http://dx.doi.org/10.3390/foundations3040042.

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Sets, probability, and neutrosophic logic are all topics covered by neutrosophy. Moreover, the classical set, fuzzy set, and intuitionistic fuzzy set are generalized using the neutrosophic set. A neutrosophic set is a mathematical concept used to solve problems with inconsistent, ambiguous, and inaccurate data. In this article, we demonstrate some basic fixed-point theorems for any even number of compatible mappings in complete neutrosophic metric spaces. Our primary findings expand and generalize the findings previously established in the literature.

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Chakraborty, Avishek, Sankar Prasad Mondal, Ali Ahmadian, Norazak Senu, Shariful Alam, and Soheil Salahshour. "Different Forms of Triangular Neutrosophic Numbers, De-Neutrosophication Techniques, and their Applications." Symmetry 10, no. 8 (2018): 327. http://dx.doi.org/10.3390/sym10080327.

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In this paper, we introduce the concept of neutrosophic number from different viewpoints. We define different types of linear and non-linear generalized triangular neutrosophic numbers which are very important for uncertainty theory. We introduced the de-neutrosophication concept for neutrosophic number for triangular neutrosophic numbers. This concept helps us to convert a neutrosophic number into a crisp number. The concepts are followed by two application, namely in imprecise project evaluation review technique and route selection problem.

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Saber, Yaser. "Connectedness in Single-Valued Neutrosophic Soft Grill Topological Spaces." International Journal of Analysis and Applications 21 (December 18, 2023): 137. http://dx.doi.org/10.28924/2291-8639-21-2023-137.

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The incentive of this article is to continue discovering more interesting results and concepts related to the single-valued neutrosophic soft topological spaces. The concept of the single-valued neutrosophic soft operator φ created from a single-valued neutrosophic soft grill (Kσ, Kτ, Kδ) and a single-valued neutrosophic soft topological space (B, ~T~σ, ~T~ς, ~T~δ) is presented. Connectedness of single-valued neutrosophic soft topological spaces with single-valued neutrosophic soft grills is given. Moreover, the concept of γ-connectedness associated with a single-valued neutrosophic soft opera

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Ishtiaq, Umar, Khalil Javed, Fahim Uddin, Manuel de la Sen, Khalil Ahmed, and Muhammad Usman Ali. "Fixed Point Results in Orthogonal Neutrosophic Metric Spaces." Complexity 2021 (August 9, 2021): 1–18. http://dx.doi.org/10.1155/2021/2809657.

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Neutrosophy deals with neutrosophic logic, probability, and sets. Actually, the neutrosophic set is a generalization of the classical set, fuzzy set, and intuitionistic fuzzy set. A neutrosophic set is a mathematical notion serving issues containing inconsistent, indeterminate, and imprecise data. The notion of intuitionistic fuzzy metric space is useful in modelling some phenomena, where it is necessary to study the relationship between two probability functions. In this study, the concept of an orthogonal neutrosophic metric space is initiated. It is a generalization of the neutrosophic metr

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Celik, Mehmet, and Necati Olgun. "An Introduction to Neutrosophic Real Banach and Hillbert Spaces." Galoitica: Journal of Mathematical Structures and Applications 2, no. 1 (2022): 08–13. http://dx.doi.org/10.54216/gjmsa.020101.

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Banach and Hillbert spaces are the main important concepts in the study of classical functional analysis. This paper generalizes these two kinds of functional spaces into neutrosophic systems, where the concept of neutrosophic Banach space and neutrosophic Hillbert space will be defined and discussed for the first time over partial ordered neutrosophic spaces. Also, many related concepts such as neutrosophic Cauchy sequence, neutrosophic Bessel's inequality, and neutrosophic Parseval's identity will be established and proved.

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Book chapters on the topic "Neutrosophic concept"

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Moi, Sandip, Suvankar Biswas, and Smita Pal. "Neutrosophic Linear Differential Equation with a New Concept of Neutrosophic Derivative." In Neutrosophic Operational Research. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-57197-9_19.

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Singh, Prem Kumar. "Three–Way Bipolar Neutrosophic Concept Lattice." In Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00045-5_16.

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Shanmugapriya, K. P., and P. Hemavathi. "A Novel Concept of Neutrosophic Fuzzy Sets in Ẑ-Algebra." In Trends in Mathematics. Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-37538-5_5.

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Jain, Amita, and Basanti Pal Nandi. "Intuitionistic and Neutrosophic Fuzzy Logic: Basic Concepts and Applications." In Hybrid Intelligent Systems in Control, Pattern Recognition and Medicine. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-34135-0_1.

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Narmada Devi, R., Regan Murugesan, Nagadevi Bala Nagaram, Kala Raja Mohan, and Sathish Kumar Kumaravel. "Role of Fertamean Neutrosophic Sets for Decision Making Modelling in Machine Learning." In Deep Learning Concepts in Operations Research. Auerbach Publications, 2024. http://dx.doi.org/10.1201/9781003433309-19.

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Anbarasi Rodrigo, P., and S. Maheswari. "More Functions Associated with Neutrosophic gsα*- Closed Sets in Neutrosophic Topological Spaces." In Advanced Topics of Topology [Working Title]. IntechOpen, 2021. http://dx.doi.org/10.5772/intechopen.99464.

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The concept of neutrosophic continuous function was very first introduced by A.A. Salama et al. The main aim of this paper is to introduce a new concept of Neutrosophic continuous function namely Strongly Neutrosophic gsα* - continuous functions, Perfectly Neutrosophic gsα* - continuous functions and Totally Neutrosophic gsα* - continuous functions in Neutrosophic topological spaces. These concepts are derived from strongly generalized neutrosophic continuous function and perfectly generalized neutrosophic continuous function. Several interesting properties and characterizations are derived an

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Uluçay, Vakkas, and Memet Şahin. "Decision-Making Method Based on Neutrosophic Soft Expert Graphs." In Advances in Data Mining and Database Management. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-1313-2.ch002.

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This chapter defines the concept of neutrosophic soft expert graph. The authors have established a link between graphs and neutrosophic soft expert sets. Basic operations of neutrosophic soft expert graphs such as union, intersection, and complement are defined here. The concept of neutrosophic soft expert soft graph is also discussed in this chapter. The new concept is called neutrosophic soft expert graph-based multi-criteria decision-making method (NSEGMCDM, for short). Finally, an illustrative example is given, and a comparison analysis is conducted between the proposed approach and other

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Sivaramakrishnan, Sambandan, Parthasarathy Balaji, and M. Sivasakthi. "Pythagorean Anti-Neutrosophic Linear Space." In Advances in Chemical and Materials Engineering. IGI Global, 2024. https://doi.org/10.4018/979-8-3693-3204-7.ch002.

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This chapter introduces the concept of a Pythagorean anti-neutrosophic linear space, expanding on the principles of Pythagorean, anti-neutrosophic, and fuzzy linear space. These advancements offer new approaches for addressing uncertainty, indeterminacy, and contradiction within traditional linear space. The authors prove that the union of two Pythagorean anti-neutrosophic linear spaces forms another Pythagorean anti-neutrosophic linear space. However, they provide a counterexample to show that the intersection of two such spaces are not necessarily result in a Pythagorean anti-neutrosophic li

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Deli, Irfan. "Refined Neutrosophic Sets and Refined Neutrosophic Soft Sets." In Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing. IGI Global, 2016. http://dx.doi.org/10.4018/978-1-4666-9798-0.ch016.

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Refined neutrosophic sets (RNS) are a generalization of a neutrosophic sets, intuitionistic fuzzy sets, fuzzy sets, intuitionistic fuzzy multi-sets and fuzzy multi-sets. Similarly, refined neutrosophic soft sets (RNSS) are a generalization of a neutrosophic soft sets, intuitionistic fuzzy soft sets, fuzzy soft sets, intuitionistic fuzzy soft multi-sets and fuzzy soft multi-sets. These sets are a powerful general formal framework that has been proposed to present uncertainty, imprecise, incomplete, inaccurate and inconsistent information which exist in real life. This chapter will survey concep

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Allouf, Ali. "An Era of Cryptography Based on Neutrosophic Number Theory." In The Role of Cybersecurity in the Industry 5.0 Era [Working Title]. IntechOpen, 2024. http://dx.doi.org/10.5772/intechopen.114975.

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The main objective of this chapter is to introduce the concept of neutrosophic number theory and to demonstrate its potential applications in modern cybernetic systems. The chapter will also explore the possibility of utilizing neutrosophic theory to enhance existing security algorithms, including a detailed explanation of the neutrosophic version of the RSA algorithm. Furthermore, the chapter will present a novel neutrosophic version of the Diffie-Hellman key exchange algorithm.

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Conference papers on the topic "Neutrosophic concept"

1

Poonia, Mahima, and Priyanka Bhardwaj. "The Concept of Complex Neutrosophic Hesitant Fuzzy Graph is Used to Solve a Problem Related to Cellular Network." In 2023 International Conference on Sustainable Emerging Innovations in Engineering and Technology (ICSEIET). IEEE, 2023. http://dx.doi.org/10.1109/icseiet58677.2023.10303510.

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Ali, Muntaha Jaafer, and Majid Mohammed Abed. "Fine neutrosophic rings and related concepts." In 6TH INTERNATIONAL CONFERENCE FOR PHYSICS AND ADVANCE COMPUTATION SCIENCES: ICPAS2024. AIP Publishing, 2025. https://doi.org/10.1063/5.0265793.

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