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Relevant bibliographies by topics / Neutrosophic field

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Academic literature on the topic 'Neutrosophic field'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Neutrosophic field"

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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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Harika, Bhurgula, K. Rajani, P. Narasimha Swamy, T. Nagaiah, and L. Bhaskar. "Neutrosophic Near Algebra Over Neutrosophic Field." International Journal of Neutrosophic Science 22, no. 1 (2023): 29–34. http://dx.doi.org/10.54216/ijns.220203.

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This piece of paper aims to learn neutrosophic near algebra and neutrosophic sub near algebra. This paper is summarized with the suitable definitions and theorems of neutrosophic near algebra and neutrosophic sub near algebra. It has also been demonstrated that the direct product of neutrosophic near algebra is a neutrosophic near algebra and the intersection of neutrosophic sub near algebra is a neutrosophic near algebra on a neutrosophic field. It also examined the union of couple of neutrosophic near algebras is a neutrosophic near algebra.

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Nicolescu, Adrian, and Mirela Teodorescu. "A Unifying Field in Logics - Book Review." International Letters of Social and Humanistic Sciences 43 (November 2014): 48–59. http://dx.doi.org/10.18052/www.scipress.com/ilshs.43.48.

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Paradoxism is an avant-garde movement in literature, art, philosophy, science, based on excessive use of antitheses, antinomies, contradictions, parables, odds, paradoxes in creations. It was set up and led by the writer Florentin Smarandache since 1980's, who said: "The goal is to enlargement of the artistic sphere through non-artistic elements. But especially the counter-time, counter-sense creation. Also, to experiment." Paradoxism = paradox + ism, means the theory and school of using paradoxes in literary, artistic, philosophical, scientific creations. "Paradoxism started as an anti-totali

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Jameel, S. Obaid, A. Mahdi Salih, R. Adnan Jaleel, and Musaddak M. A. Zahra. "On The Neutrosophic Formula of Some Matrix Equations Derived from Data Mining Theory and Control Systems." International Journal of Neutrosophic Science 19, no. 1 (2022): 267–71. http://dx.doi.org/10.54216/ijns.190122.

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This paper is dedicated to studying the neutrosophic formula of some famous matrix equations used in theoretical data mining algorithms and control systems by using neutrosophic matrices and refined neutrosophic matrices over neutrosophic real fields. On the other hand, we concentrate on the neutrosophic formula of the Sylvester equation, and Lyapunov equation, where we study their formulas and properties in terms of theorems in the neutrosophic real number field and refined real number field. Also, we illustrate many different examples to clarify the validity of our work.

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Sert, Eser, and Ahmet Alkan. "Image Edge Detection Based on Neutrosophic Set Approach Combined with Chan–Vese Algorithm." International Journal of Pattern Recognition and Artificial Intelligence 33, no. 03 (2019): 1954008. http://dx.doi.org/10.1142/s0218001419540089.

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Since edge detection is a field of study used by various disciplines, it is of vital importance to calculate it accuretly. In addition, an edge detection algorithm may be involved in many image processing phases. A recent and contemporary approach, neutrosophy is based on neutrosophic logic, neutrosophic probability, neutrosophic set and neutrosophic statistics. This method yields better results compared to various other optimization methods. Neutrosophic Set (NS) is based on the origin, nature and scope of neutralities. In NS, problems are separated into true, false and indeterminacy subsets.

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Bera, Tuhin, and Nirmal Kumar Mahapatra. "On Neutrosophic Soft Field." International Journal of Mathematics Trends and Technology 56, no. 7 (2018): 472–94. http://dx.doi.org/10.14445/22315373/ijmtt-v56p562.

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Zeina, Mohamed Bisher, and Yasin Karmouta. "Introduction to Neutrosophic Stochastic Processes." Neutrosophic Sets and Systems 54 (April 11, 2023): 169–83. https://doi.org/10.5281/zenodo.7817748.

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In this article, the definition of literal neutrosophic stochastic processes is presented for the first time in the form 𝒩𝑡 = 𝜉𝑡 + 𝜂𝑡 𝐼 ; 𝐼2 = 𝐼 where both {𝜉(𝑡), 𝑡 ∈ 𝑇} and {𝜂(𝑡), 𝑡 ∈ 𝑇} are classical real valued stochastic processes. Characteristics of the literal neutrosophic stochastic process are defined and its formulas are driven including neutrosophic ensemble mean, neutrosophic covariance function and neutrosophic autocorrelation function. Concept of literal neutrosophic stationary stochastic processes is well defined and many theorems are presented and proved using classica

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Abdel, Fattah keshty Nabila. "Neutrosophy in Law: "Overcoming Barriers toward Innovative Legal Solutions"." Neutrosophic Knowledge 6 (February 26, 2025): 30–37. https://doi.org/10.5281/zenodo.15009384.

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Abstract: The implementation of Neutrosophy in legal studies is a relatively new field, making its foundational body of studies somewhat limited. Nevertheless, there are some early efforts seeking to explore this interaction between modern philosophical logic and law. This research aims to study the obstacles facing the implementation of neutrosophic philosophy in the legal field and how to overcome them to ensure justice and innovative dispute resolution. Neutrosophic philosophy, which is based on the concept of neutrality and accommodating contradictions, offers a flexible approach that tran

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Kungumaraj, E., E. Lathanayagam, Utpal Saikia, et al. "Neutrosophic Topological Vector Spaces and its Properties." International Journal of Neutrosophic Science 23, no. 2 (2024): 63–76. http://dx.doi.org/10.54216/ijns.230206.

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The algebraic structures Group, Ring, Field and Vector spaces are important innovations in Mathematics. Most of the theoretical concepts of Mathematics are based on the theorems related to these algebraic structures. Initially many mathematicians developed theorems related to all these algebraic structures. In 20th century most of the researchers introduced the theorems on the algebraic structures with Fuzzy and Intuitionistic fuzzy sets. Recently in 21st century the researchers concentrated on Neutrosophic sets and introduced the algebraic structures like Neutrosophic Group, Neutrosophic Ring

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Paraskevas, Antonios. "Extended Event Calculus using Neutrosophic Logic: Method, Implementation, Analysis, Recent Progress and Future Directions." Neutrosophic Systems with Applications 14 (January 12, 2024): 38–49. http://dx.doi.org/10.61356/j.nswa.2024.116.

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Brains do not reason as digital computers do. Computers reason in clear steps with statements that are either true or false, while humans reason with vague terms of common sense. Neutrosophy is a new branch of philosophy and machine intelligence that deals with neutralities, specifically the idea of indeterminacy that is evident and experienced in our everyday lives. Indeterminacy is interpreted as everything that falls between a concept, idea, statement, declaration, etc. and its opposite. The fundamental thesis of neutrosophy is to employ neutrosophic logic, an extension of fuzzy logic, to i

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Books on the topic "Neutrosophic field"

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A Unifying Field in Logics: Neutrosophic Logic, Neutrosophy, Neutrosophic Set, Neutrosophic Probability. [Rehoboth, NM] : Xiquan Publishing House, 2004.

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Smarandache, Florentin. A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability (third edition). American Research Press, 2003.

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Smarandache, Florentin. A Unifying Field in Logics: Neutrosophic Logic. Neutrosphy, Neutrosophic Set, Neutrosophic Probability (in Chinese translation by Feng Liu). Xiquan, 2003.

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Book chapters on the topic "Neutrosophic field"

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Smarandache, Florentin, and Madeleine Al-Tahan. "NeutroAlgebra and AntiAlgebra Are Generalizations of Classical Algebras." In Advances in Computer and Electrical Engineering. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-6684-3495-6.ch001.

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Neutrosophy as a branch of philosophy has many applications in almost every field of science. It studies neutralities, which are found in almost every real-life problem. This chapter is a review of reproduction of the evolution from the foundation of paradoxism (1980s), then of neutrosophy (1995) and its derivatives (neutrosophic set/logic/probability/statistics), then neutrosophic algebraic structures (2003), and ending with the NeutroAlgebra and AntiAlgebra (2019) as well as the NeutroGeometry and AntiGeometry (2021) of the previous work.

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Sweety, C. Antony Crispin, and S. Bhuvaneshwari. "Application of the Neutrosophic Spherical Sets in Education." In Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education. IGI Global, 2023. http://dx.doi.org/10.4018/978-1-6684-7836-3.ch007.

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Neutrosophic logic is the science of artificial intelligence that enables information systems to simulate human understanding. Neutrosophic logic enables computers to understand complex concepts with indeterministic constraints. It incorporates human intellect into machines and tries to exhibit human decision-making skills. Hence, neutrosophic logic makes predictions and inferences based on its knowledge, turning it into a tool for users to explore ideas and conclude on perfect solutions for real-time problems that involve indeterminacy. Neutrosophic logic finds varied applications in the fiel

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R., Sarannya Kumari, Sunny Joseph Kalayathankal, Mathews M. George, and Florentin Smarandache. "Application of n-Cylindrical Fuzzy Neutrosophic Sets in Education Using Neutrosophic Similarity Index and Neutrosophic Score Ratio." In Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education. IGI Global, 2023. http://dx.doi.org/10.4018/978-1-6684-7836-3.ch004.

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The n-Cylindrical fuzzy neutrosophic sets (n-CyFNS) with I as independent neutrosophic component, are one of the largest extension of fuzzy sets except fuzzy neutrosophic sets. Here the positive, neutral, and negative membership functions are satisfying the condition, 0≤ βA(x) ≤1 and 0≤ αAn(x) + γAn(x) ≤ 1, n≥1, is an integer. In this set, two constrains are defined, in order to broaden the membership value range. In this chapter, some applications of n-Cylindrical fuzzy neutrosophic sets in the field of education are presented, such as evaluating a funded project proposal and staff recruitmen

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Debnath, Somen. "Neutrosophic Fuzzy Soft Matrix Theory and Its Application in Group Decision Making." In Handbook of Research on Advances and Applications of Fuzzy Sets and Logic. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-7998-7979-4.ch033.

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In 2020, Sujit et al. introduced the notion of the neutrosophic fuzzy set (NFS) to deal with uncertainty under a fuzzy environment where the fuzzy membership grade of every element of the field of the domain is associated with three independent neutrosophic components, namely truth, indeterminacy, and falsity membership grade. The main focus of the chapter is to introduce a neutrosophic fuzzy soft set (NFSS) to deal with uncertainty parametrically, and it gives the approximate solution to the problem. NFSS is a mixture of a neutrosophic set, fuzzy sets, and soft sets. So, it can be treated as

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Pratihar, Jayanta, Ranjan Kumar, Arindam Dey, and Said Broumi. "Transportation Problem in Neutrosophic Environment." In Advances in Data Mining and Database Management. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-1313-2.ch007.

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The transportation problem (TP) is popular in operation research due to its versatile applications in real life. Uncertainty exists in most of the real-life problems, which cause it laborious to find the cost (supply/demand) exactly. The fuzzy set is the well-known field for handling the uncertainty but has some limitations. For that reason, in this chapter introduces another set of values called neutrosophic set. It is a generalization of crisp sets, fuzzy set, and intuitionistic fuzzy set, which is handle the uncertain, unpredictable, and insufficient information in real-life problem. Here c

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S., Sivasankar, and Said Broumi. "A New Algorithm to Determine the Density of a Balanced Neutrosophic Graph and Its Application to Enhance Education Quality." In Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education. IGI Global, 2023. http://dx.doi.org/10.4018/978-1-6684-7836-3.ch001.

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The education system of a country to its citizens determines its success. The primary goal of providing education is to mold a person's entire personality and shape his career. Everyone, regardless of caste, creed, religion, gender, or any other factor, must have access to their choice's high-quality and indiscriminate education. At present, poverty, gender discrimination, regional imbalance, family background, and other unknown factors contribute to education inequality. In particular, the regional imbalance concerning academic opportunities and infrastructure plays a vital role. When there i

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Radhika, V. R., and K. Mohana. "Pentapartitioned Neutrosophic Vague Number Assignment Problem." In Advances in Chemical and Materials Engineering. IGI Global, 2024. https://doi.org/10.4018/979-8-3693-3204-7.ch003.

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An extensively researched and significant field in optimization is assignment problems (APs), this research manuscript introduces the pentapartitioned neutrosophic vague assignment problem (PNVAP), an assignment problem in a pentapartitioned neutrosophic vague environment. Utilizing interval-valued trapezoidal pentapartitioned neutrosophic vague numbers in the cost matrix's elements, the problem is put forth. This interval-valued trapezoidal pentapartitioned neutrosophic vague assignment problem (IVTPNVAP) is converted to an interval-valued AP in accordance with the idea of a score function. T

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Jdid, Maissam Ahmed. "The Use of Neutrosophic Linear Programming Method in the Field of Education." In Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education. IGI Global, 2023. http://dx.doi.org/10.4018/978-1-6684-7836-3.ch015.

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In light of the great development witnessed by all fields of science, it was necessary to keep pace with this development, benefit from it, and adapt it to serve humanity through organized observation of natural events and conditions, discovering facts, formulating appropriate laws for those facts, and exploiting available resources. By using operations research methods, we can face most problems and find solutions, which prompted many researchers and scholars in the field of education to claim the need to use these methods in the management of educational institutions and to include them in t

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Pillai, Nagarajan Deivanayagam, Lathamaheswari Malayalan, Said Broumi, Florentin Smarandache, and Kavikumar Jacob. "New Algorithms for Hamiltonian Cycle Under Interval Neutrosophic Environment." In Advances in Data Mining and Database Management. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-1313-2.ch004.

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A cycle passing through all the vertices exactly once in a graph is a Hamiltonian cycle (HC). In the field of network system, HC plays a vital role as it covers all the vertices in the system. If uncertainty exists on the vertices and edges, then that can be solved by considering fuzzy Hamiltonian cycle. Further, if indeterminacy also exist, then that issue can be dealt efficiently by having neutrosophic Hamiltonian cycle. In computer science applications, objects may not be a crisp one as it has uncertainty and indeterminacy in nature. Hence, new algorithms have been designed to find interval

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Martin, Nivetha, and Said Broumi. "Neutrosophic Cognitive Impact Study on Role Transformation of Teachers to Facilitators." In Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education. IGI Global, 2023. http://dx.doi.org/10.4018/978-1-6684-7836-3.ch011.

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The field of education is witnessing paradigm changes, especially with reference to characterization of teachers and their roles. The inception of digital learning portals has widened the information sources of the learners and masked the belief of teachers as the only pool of knowledge. The mutating pedagogies have defined teacher as a facilitator in a learning environment. This chapter investigates on the impacts caused by the transformation of a teacher's role to a facilitator in the intra- and inter- personal dimensions of teachers and also on the classroom environment. This research work

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