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Relevant bibliographies by topics / Neutrosophic set theory

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Academic literature on the topic 'Neutrosophic set theory'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Neutrosophic set theory"

1

Al-Odhari, Adel. "Some Aspects of Neutrosophic Set Theory." Neutrosophic Optimization and Intelligent Systems 4 (October 1, 2024): 31–38. http://dx.doi.org/10.61356/j.nois.2024.4359.

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This article aims to introduce my work on constructing neutrosophic set theory. Neutrosophy is a new branch of mathematical systems proposed by Smarandache in 1995 as an extension of an intuitionistic fuzzy set according to three-degree membership functions. The new perspective of neutrosophic sets consists of two paths, the first path depends on the three degrees including the degree of truth-membership, degree of indeterminacy-membership, and degree of false-non-membership respectively, while the second path depends on the generated classical set by three types of neutrosophic sets and study

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Al-Quran, Ashraf Al, Faisal Al Al-Sharqi, Hamiden Abd El Wahed Khalifa, Haifa Alqahtani, and Ali M. A. Bany Awad. "T-Spherical Fuzzy-Valued Neutrosophic Set Theory." International Journal of Neutrosophic Science 23, no. 2 (2024): 104–15. http://dx.doi.org/10.54216/ijns.230209.

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From fuzzy to neutrosophy, multiple hybrid models have been innovated, with each introduced model surpassing its predecessor. Due to the inherent indeterminacy in the world, a more precise form of imprecision is required. As a result, more sophisticated variants of the neutrosophic set have been created. Examples of these amalgamations include fuzzy neutrosophic sets, intuitionistic fuzzy neutrosophic sets, Pythagorean fuzzy neutrosophic sets, neutrosophic vague sets, and neutrosophic rough sets. The main objective of this paper is to present another variant of the neutrosophic set called T-sp

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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. "Basic Introduction of Neutrosophic Set Theory." Plithogenic Logic and Computation 2 (July 3, 2024): 20–28. http://dx.doi.org/10.61356/j.plc.2024.2327.

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This paper is devoted to introducing the basic introduction to neutrosophic set theory. Neutrosophic laws defined by the partial algebra are totally (100%) true. We study three types of neutrosophic sets H1t[I], H2t[I] and H3t[I], and defined the notions of empty neutrosophic set, universal neutrosophic set, equality of neutrosophic set, neutrosophic subsets, complement of neutrosophic set, and their properties.

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Songsaeng, Metawee, and Aiyared Iampan. "Neutrosophic Set Theory Applied to UP-Algebras." European Journal of Pure and Applied Mathematics 12, no. 4 (2019): 1382–409. http://dx.doi.org/10.29020/nybg.ejpam.v12i4.3543.

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The notions of neutrosophic UP-subalgebras, neutrosophic near UP-filters, neutrosophic UP-filters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are introduced, and several properties are investigated. Conditions for neutrosophic sets to be neutrosophic UP-subalgebras, neutrosophic near UP-filters, neutrosophic UP-filters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are provided. Relations between neutrosophic UP-subalgebras (resp., neutrosophic near UP-filters, neutrosophic UP-filters, neutrosophic UP-ideals, neutrosophic strongly UP

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Surapati, Pramanik* Kalyan Mondal. "ROUGH BIPOLAR NEUTROSOPHIC SET." Global Journal of Engineering Science and Research Management 3, no. 6 (2016): 71–81. https://doi.org/10.5281/zenodo.55966.

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Bipolar neutrosophic set theory and rough neutrosophic set theory are emerging as powerful tool for dealing with uncertainty, and indeterminate, incomlete, and inprecise information. In the present study we develop a hybrid structure called “rough bipoar neutrsophic set”. In the study, we define rough bipoar neutrsophic set and define union, complement, intersection and containment of rough bipolar neutrosophic sets.  

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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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Et. al., N. Moogambigai. "Z-open sets in a Neutrosophic Topological Spaces." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 1S (2021): 357–62. http://dx.doi.org/10.17762/turcomat.v12i1s.1850.

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In this paper, introduce a neutrosophicopen sets in neutrosophic topological spaces. Also, discuss about near open sets, their properties and examplesZ-open set which is a union of neutrosophic P-open sets and neutrosophic δof a neutrosophicS Z-open set. Moreover, we investigate some of their basic properties and examples of neutrosophic Z-interior and Z-closure in a neutrosophic topological spaces.

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Al-Odhari, Adel. "Some Results of Neutrosophic Relations for Neutrosophic Set Theory." Neutrosophic Knowledge 5 (November 14, 2024): 76–86. https://doi.org/10.5281/zenodo.14181753.

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<strong>Abstract:</strong> Nearly thirty years ago, the science of Neutrosophic appeared at the hands of the scientist Smarandache, who generalized the concept of the intuitionistic set to the neutrosophic set and the intuitionistic logic into the neutrosophic logic according to the degree of membership functions truth, indeterminacy, and falsehood respectively. Moreover, he presented the neutrosophic structure of a set when he studied the structure of neutrosophic algebra with other scholars in their works neutrosophic groups, and neutrosophic rings. Later, a few scholars who take the concept

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Al-Odhari, Adel. "Invertible Neutrosophic Functions on Neutrosophic Set Theory of Three Types." Neutrosophic Knowledge 6 (January 26, 2025): 21–29. https://doi.org/10.5281/zenodo.14740796.

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Abstract:  The aim of this paper is to present the reasons or arguments for believing that the transformation from classical set theory into neutrosophic set theory may be possible for the neutrosophic set of three types. For this reason, I present the invertible neutrosophic function, Bijective Neutrosophic function, Neutrosophic Image, investigate some examples, and prove theorems.     Keywords: Neutrosophic sets, Neutrosophic function on, Inverse Neutrosophic Function on, Neutrosophic Image; Properties of Neutrosophic Function on, Bijective 

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Books on the topic "Neutrosophic set theory"

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Garg, Harish. Decision-Making with Neutrosophic Set: Theory and Applications in Knowledge Management. Nova Science Publishers, Incorporated, 2021.

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Garg, Harish. Decision-Making with Neutrosophic Set: Theory and Applications in Knowledge Management. Nova Science Publishers, Incorporated, 2021.

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Book chapters on the topic "Neutrosophic set theory"

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Sengupta, Shampa, and Debabrata Datta. "Development of a Neutrosophic Set Theory Based Feature Selection Method for Classification of Paddy Seed." In Studies in Computational Intelligence. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-93087-4_17.

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Otay, İrem, and Cengiz Kahraman. "A State-of-the-Art Review of Neutrosophic Sets and Theory." In Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00045-5_1.

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Deli, Irfan. "Theory of Single Valued Trapezoidal Neutrosophic Numbers and Their Applications to Multi Robot Systems." In Toward Humanoid Robots: The Role of Fuzzy Sets. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-67163-1_10.

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R., Subha,, and Mohana K. "IMPROVED CORRELATION COEFFICIENTS OF FERMATEAN PENTAPARTITIONED SINGLE VALUED NEUTROSOPHIC SETS AND INTERVAL FERMATEAN PENTAPARTITIONED NEUTROSOPHIC SETS FOR MULTIPLE ATTRIBUTE DECISION MAKING." In Recent Trends in Fuzzy Set Theory and its Applications. Iterative International Publishers, Selfypage Developers Pvt Ltd, 2024. http://dx.doi.org/10.58532/nbennurch282.

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A correlation coefficient is a statistical measure that helps identify how many changes in one value signal change in another. Wang's single valued neutrosophic sets were improvised into Fermatean Pentapartitioned single valued neutrosophic sets. We investigated the attributes of the interval Fermatean pentapartitioned neutrosophic sets and Fermatean pentapartitioned single-valued neutrosophic sets. Additionally, we have used this idea in many decisionmaking techniques using interval and Fermatean pentapartitioned single valued neutrosophic environments. Eventually we presuming (that) an examp

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Jabarali, Abdul Kani, Arul Joshua. W, and Manivarsha V. "EXPLORING SOME NEUTROSOPHIC STATISTICAL DISTRIBUTIONS: A COMPREHENSIVE REVIEW OF METHODOLOGY." In Recent Trends in Fuzzy Set Theory and its Applications. Iterative International Publishers, Selfypage Developers Pvt Ltd, 2024. http://dx.doi.org/10.58532/nbennurch276.

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Neutrosophic statistics represent a pioneering and innovative approach to statistics, introducing a unique paradigm that accommodates indeterminate and vague information. This emerging discipline extends traditional statistical methods by incorporating neutrosophic logic, which deals with the indeterminacy arising from incomplete or uncertain data. The applications of neutrosophic statistics are diverse and impactful. Neutrosophic statistics provide a robust framework for decision support systems, enabling more informed and resilient decision-making in ambiguous situations. Neutrosophic statis

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V. R, Radhika, and Mohana K. "ALGEBRAIC OPERATIONS ON PENTAPARTITIONED NEUTROSOPHIC VAGUE SETS." In Recent Trends in Fuzzy Set Theory and its Applications. Iterative International Publishers, Selfypage Developers Pvt Ltd, 2024. http://dx.doi.org/10.58532/nbennurch280.

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In this paper, we present some algebraic operations for Pentapartitioned Neutrosophic Vague Set as an extension of single valued Neutrosophic vague sets. Specifically, we introduce addition, multiplication, scalar multiplication and power for the Pentapartitioned Neutrosophic Vague Sets also the compact spaces with suitable examples and a theorem with proofs

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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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T., Madhumathi, and F. Nirmala Irudayam. "NEUTROSOPHIC CHAOTIC B-CLOSED SET IN NEUTROSOPHIC CHAOTIC TOPOLOGICAL SPACE." In Recent Trends in Fuzzy Set Theory and its Applications. Iterative International Publishers, Selfypage Developers Pvt Ltd, 2024. http://dx.doi.org/10.58532/nbennurch279.

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This article focuses on devising the novel idea of framing a b-open set in neutrosophic chaotic topological space. We further devote this article to the study of the properties posed by this newly developed set suitable examples are provided as and when required

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Pratheesha S. V, Arokia, and Mohana K. "QUADRIPARTITIONED SINGLE VALUED NEUTROSOPHIC REFINED VOLTERRA SPACES." In Recent Trends in Fuzzy Set Theory and its Applications. Iterative International Publishers, Selfypage Developers Pvt Ltd, 2024. http://dx.doi.org/10.58532/nbennurch285.

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The focus of this paper is to introduce and study the notions of quadripartitioned single valued neutrosophic refined contra generalized pre-continuous mappings in quadripartitioned single valued neutrosophic refined topological spaces.We examine some of its basic characteristics and properties

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Ali, Mumtaz, and Florentin Smarandache. "Neutrosophic Soft Sets and Their Properties." 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.ch014.

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Soft set plays an important role in the theory of approximations, as parameterized family of subsets in the universe of discourse. On the other hand, neutrosophic set is based on the neutrosophic philosophy, which states that: Every idea A has an opposite anti(A) and its neutral neut(A). This is the main theme of neutrosophic sets and logics. This chapter is about the hybrid structure called neutrosophic soft set, i.e. a soft set defined over a neutrosophic set. This chapter begins with the introduction of soft sets and neutrosophic sets. The notions of neutrosophic soft sets are defined and t

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Conference papers on the topic "Neutrosophic set theory"

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Alkhazaleh, Shawkat. "n-valued refined neutrosophic soft set theory." In 2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2016. http://dx.doi.org/10.1109/fuzz-ieee.2016.7738004.

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Singh, Pritpal, and Kinjal Rabadiya. "Information Classification, Visualization and Decision-Making: A Neutrosophic Set Theory Based Approach." In 2018 IEEE International Conference on Systems, Man, and Cybernetics (SMC). IEEE, 2018. http://dx.doi.org/10.1109/smc.2018.00079.

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Fan, En, Keli Hu, and Xiaobin Li. "Review of Neutrosophic-Set-Theory-Based Multiple- Target Tracking Methods in Uncertain Situations." In 2019 IEEE International Conference on Artificial Intelligence and Computer Applications (ICAICA). IEEE, 2019. http://dx.doi.org/10.1109/icaica.2019.8873497.

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Li, Haifeng, Dayi Yang, Yangyang Fu, Hujie Huang, and Hongyuan Fang. "A microstructure evolution visualization method based on neutrosophic set theory and cellular automaton technique." In the 6th International Symposium. ACM Press, 2013. http://dx.doi.org/10.1145/2493102.2493106.

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