Relevant bibliographies by topics / Neutrosophic set

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Academic literature on the topic 'Neutrosophic set'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Neutrosophic set"

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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2

Mehmood, Arif, Saleem Abdullah, Mohammed M. Al-Shomrani, Muhammad Imran Khan, and Orawit Thinnukool. "Some Results in Neutrosophic Soft Topology Concerning Neutrosophic Soft ∗ b Open Sets." Journal of Function Spaces 2021 (May 24, 2021): 1–15. http://dx.doi.org/10.1155/2021/5544319.

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In this article, new generalised neutrosophic soft open known as neutrosophic soft ∗ b open set is introduced in neutrosophic soft topological spaces. Neutrosophic soft ∗ b open set is generated with the help of neutrosophic soft semiopen and neutrosophic soft preopen sets. Then, with the application of this new definition, some soft neutrosophical separation axioms, countability theorems, and countable space can be Hausdorff space under the subjection of neutrosophic soft sequence which is convergent, the cardinality of neutrosophic soft countable space, engagement of neutrosophic soft counta
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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-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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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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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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A.A., Salama, K.F.Alhasan, A. Elagamy H., and Smarandache Florentin. "Neutrosophic Dynamic Set." Neutrosophic Knowledge 3, no. 1 (2021): 1–5. https://doi.org/10.5281/zenodo.5507522.

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In this paper, we introduced the concept of the dynamic set according to modern logic, is neutrosophic logic. We study the neutrosophic dynamic set according to time and random variable depended on dynamic set. Neutrosophic dynamic is a dynamic analysis of a sequence of data through of time. It used in many problems in life such as a mathematical statistic, philosophy, medicine, engineering. Some examples and notes are presented.
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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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9

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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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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Books on the topic "Neutrosophic set"

1

Smarandache, Florentin. Neutrosophy: Neutrosophic probability, set, and logic : analytic synthesis & synthetic analysis. American Research Press, 1998.

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2

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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Proceedings of the First International Conference on Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics. American Research Press, 2002.

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New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications. MDPI, 2019. http://dx.doi.org/10.3390/books978-3-03921-939-1.

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Ashour, Amira Salah, and Yanhui Guo. Neutrosophic Set in Medical Image Analysis. Elsevier Science & Technology, 2019.

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Neutrosophic Set in Medical Image Analysis. Elsevier, 2019. http://dx.doi.org/10.1016/c2018-0-01943-x.

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Ashour, Amira S., and Yanhui Guo. Neutrosophic Set in Medical Image Analysis. Elsevier Science & Technology Books, 2019.

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9

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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10

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"

1

Farhadinia, Bahram. "Neutrosophic Hesitant Fuzzy Set." In Hesitant Fuzzy Set. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-7301-6_3.

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Smarandache, Florentin. "Introduction to Neutrosophy, Neutrosophic Set, Neutrosophic Probability, Neutrosophic Statistics and Their Applications to Decision Making." In Studies in Fuzziness and Soft Computing. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-78505-4_1.

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Zulqarnain, Rana Muhammad, Xiao Long Xin, Muhammad Saqlain, and Florentin Smarandache. "Application of Generalized Aggregate Operators on Neutrosophic Hypersoft Set in Decision-Making." In Neutrosophic Operational Research. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-57197-9_13.

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Pramanik, Surapati. "Single-Valued Neutrosophic Set: An Overview." In Integrated Science. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-94651-7_26.

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Aini, Qonita Qurratu, Imam Mukhlash, Kistosil Fahim, Jasmir, and Fatia Fatimah. "Neutrosophic Soft Set for Forecasting Indonesian Bond Yields." In Lecture Notes in Networks and Systems. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-67192-0_77.

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Khatri, Rohit, and Gagandeep Kaur. "Neutrosophic cubic set-based operators for library ranking system." In Strategic Fuzzy Extensions and Decision-making Techniques. CRC Press, 2024. http://dx.doi.org/10.1201/9781003497219-5.

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Sahni, Ritu, Manoj Sahni, and Nayankumar Patel. "Chi-Square Similarity Measure for Interval Valued Neutrosophic Set." In Advances in Intelligent Systems and Computing. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-15-9953-8_46.

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Jayasudha, J., and S. Raghavi. "Introduction to Interval-Valued Neutrosophic Hyper-Soft Expert Set." In Springer Proceedings in Mathematics & Statistics. Springer Nature Singapore, 2025. https://doi.org/10.1007/978-981-96-1505-6_4.

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Bao, Yan-Ling, and Hai-Long Yang. "On Single Valued Neutrosophic Refined Rough Set Model and Its Application." In Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00045-5_6.

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Cuong, Bui Cong. "Pareto Solution in Neutrosophic Set Setting for Multiple Criteria Decision Making Problems." In Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00045-5_15.

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Conference papers on the topic "Neutrosophic set"

1

Al-Hijjawi, Sumyyah, Abd Ghafur Ahmad, and Shawkat Alkhazaleh. "Effective neutrosophic soft expert set (ENSES)." In 5TH INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES (ICMS5). AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0228107.

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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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De, Soumitra, Jaydev Mishra, and Sharmistha Ghosh. "Query processing of inconsistent data using neutrosophic set." In 2016 International Conference on Computing, Communication and Automation (ICCCA). IEEE, 2016. http://dx.doi.org/10.1109/ccaa.2016.7813723.

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Arockiarani, I. "A fuzzy neutrosophic soft set model in medical diagnosis." In 2014 IEEE Conference on Norbert Wiener in the 21st Century (21CW). IEEE, 2014. http://dx.doi.org/10.1109/norbert.2014.6893943.

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Canayaz, Murat, and Kazim Hanbay. "Neutrosophic set based image segmentation approach using cricket algorithm." In 2016 International Symposium on INnovations in Intelligent SysTems and Applications (INISTA). IEEE, 2016. http://dx.doi.org/10.1109/inista.2016.7571851.

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Aarthi, D., A. Panimalar, and S. Santhoshkumar. "An automated method for detecting tumor by Neutrosophic set." In FOURTH INTERNATIONAL CONFERENCE ON ADVANCES IN PHYSICAL SCIENCES AND MATERIALS: ICAPSM 2023. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0216042.

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De, Soumitra, and Jaydev Mishra. "Inconsistent data processing using vague set and neutrosophic set for justifying better outcome." In 2017 International Conference on Inventive Communication and Computational Technologies (ICICCT). IEEE, 2017. http://dx.doi.org/10.1109/icicct.2017.7975210.

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Faraji, Mohammad Reza, and Xiaojun Qi. "An effective neutrosophic set-based preprocessing method for face recognition." In 2013 IEEE International Conference on Multimedia and Expo Workshops (ICMEW). IEEE, 2013. http://dx.doi.org/10.1109/icmew.2013.6618251.

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Hassan, Nasruddin, and Ashraf Al-Quran. "Possibility neutrosophic vague soft expert set for decision under uncertainty." In THE 4TH INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES: Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society. Author(s), 2017. http://dx.doi.org/10.1063/1.4980956.

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Mathew, Jeethu Mary, Surya S.R, and Philomina Simon. "Automatic cloud detection based on neutrosophic set in satellite images." In 2013 International Conference on Control Communication and Computing (ICCC). IEEE, 2013. http://dx.doi.org/10.1109/iccc.2013.6731652.

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