Academic literature on the topic 'Neutrosophic soft set'

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Journal articles on the topic "Neutrosophic soft set"

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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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Acikgoz, Ahu, та Ferhat Esenbel. "Neutrosophic soft δ-topology and neutrosophic soft δ-compactness". Filomat 34, № 10 (2020): 3441–58. http://dx.doi.org/10.2298/fil2010441a.

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We introduce the concepts of neutrosophic soft ?-interior, neutrosophic soft quasi-coincidence, neutrosophic soft q-neighbourhood, neutrosophic soft regular open set, neutrosophic soft ?-closure, neutrosophic soft ?-closure and neutrosophic soft semi open set. It is also shown that the set of all neutrosophic soft ?-open sets is a neutrosophic soft topology, which is called the neutrosophic soft ?-topology. We obtain equivalent forms of neutrosophic soft ?-continuity. Moreover, the notions of neutrosophic soft ?-compactness and neutrosophic soft locally ?-compactness are defined and their basi
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Areen, Areen, Belal Batiha, Areen Al Al-khateeb, Hamzeh .., Abedallah Al .., and Khaldoun Batiha. "Possibility Fermatean Neutrosophic Soft Set." International Journal of Neutrosophic Science 24, no. 4 (2024): 105–25. http://dx.doi.org/10.54216/ijns.240408.

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In this paper, we introduce the concept of Possibility Fermatean Neutrosophic Soft Set and define some related concepts such as Possibility Fermatean Neutrosophic Soft subset, Possibility Fermatean Neutrosophic Soft null set, and Possibility Fermatean Neutrosophic Soft universal set. Then, we define set-theoretical operations of Possibility Fermatean Neutrosophic Soft Sets such as union, intersection, and complement, and investigate some properties of these operations. We also introduce AND-product and OR-product operations between two Possibility Fermatean Neutrosophic Soft Sets. We propose a
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S., Ganesan S. Jafari and M. H. Page. "A new approach to neutrosophic soft set minimal structure spaces." Annals of Communications in Mathematics 5, no. 3 (2022): 181–93. https://doi.org/10.5281/zenodo.10058360.

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This chapter is an introduction of neutrosophic soft set minimal structure space and addresses properties of neutrosophic soft set minimal structure space. Neutrosophic set has plenty of applications. Moreover, we introduced neutrosophic soft set minimal closed set , neutrosophic soft set minimal open set, neutrosophic soft set minimal interior of (Fe, E), neutrosophic soft set minimal closure of (Fe, E), NSSm(Fe, E)- continuous, NSSm(Fe, E)-T0, NSSm(Fe, E)-T1, NSSm(Fe, E)-T2, NSSm(Fe, E)-compact, almost NSSm(Fe, E)-compact. We also present some of their basic properties.
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Broumi, S., and T. Witczak. "Heptapartitioned neutrosophic soft set." International Journal of Neutrosophic Science 18, no. 4 (2022): 270–90. http://dx.doi.org/10.54216/ijns.180423.

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The aim of this paper is to introduce the concept of heptapartitioned neutrosophic soft set and to study some of its basic properties. This kind of set can be considered as a significant extension of the idea of neutrosophic set. In general, our research is based on the earlier study presented by Radha and Stanis Arul Mary in 2021. However, we combine their initial definition with the inspiring notion of soft set (which has been established by Molodtsov in 1999). We examine algebraic operations on our sets. Then we show that the particular choose of exactly seven neutrosophic logical values ha
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Broumi, Said. "Generalized Neutrosophic Soft Set." International Journal of Computer Science, Engineering and Information Technology 3, no. 2 (2013): 17–30. http://dx.doi.org/10.5121/ijcseit.2013.3202.

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admin, admin, Hamzeh Zureigat, Belal Batiha, Areen Al Al-khateeb, and Abedallah Al Al-shboul. "Fermatean Neutrosophic Soft Set." International Journal of Neutrosophic Science 25, no. 3 (2025): 469–88. http://dx.doi.org/10.54216/ijns.250339.

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This paper aims to introduce a new concept which is Fermatean Neutrosophic Soft Set (FNSS), which is a combination of the Neutrosophic soft sets and Fermatean Fuzzy Sets. Some operations and properties of the new model, including complement, restricted union, and extended intersection are discussed. Further, an application of FNSS is modeled for multiple attribute decision-making and solved with the help of our newly launched algorithm, that is, the selection of the most attractive laptop based on a computer simulation report. Finally, a comparative analysis between the initiated FNSS model an
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Cruz, R. Anitha, and F. Nirmala Irudayam. "Neutrosophic Soft Cubic Set." International Journal of Mathematics Trends and Technology 46, no. 2 (2017): 88–94. http://dx.doi.org/10.14445/22315373/ijmtt-v46p515.

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Tasbozan, Hatice. "Near neutrosophic soft set." AIMS Mathematics 9, no. 4 (2024): 9447–54. http://dx.doi.org/10.3934/math.2024461.

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<abstract><p>In this article, the notion of near neutrosophic soft sets $ (Nss) $ is obtained by combining the notion of $ Nss $ and the notion of near approximation space. Accordingly, a new set was obtained by restricting the set of features with the help of the indiffirentiable relation defined on the set. The features and definitions that the set will provide are given, and, based on these features, the benefits that will be provided when they are implemented are investigated in the example.</p></abstract>
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Khalil, Ahmed Mostafa, Dunqian Cao, Abdelfatah Azzam, Florentin Smarandache, and Wedad R. Alharbi. "Combination of the Single-Valued Neutrosophic Fuzzy Set and the Soft Set with Applications in Decision-Making." Symmetry 12, no. 8 (2020): 1361. http://dx.doi.org/10.3390/sym12081361.

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In this article, we propose a novel concept of the single-valued neutrosophic fuzzy soft set by combining the single-valued neutrosophic fuzzy set and the soft set. For possible applications, five kinds of operations (e.g., subset, equal, union, intersection, and complement) on single-valued neutrosophic fuzzy soft sets are presented. Then, several theoretical operations of single-valued neutrosophic fuzzy soft sets are given. In addition, the first type for the fuzzy decision-making based on single-valued neutrosophic fuzzy soft set matrix is constructed. Finally, we present the second type b
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Book chapters on the topic "Neutrosophic soft set"

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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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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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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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Anitha, S., and A. Francina Shalini. "Entropy and Distance Measures of Bipolar Pythagorean Neutrosophic Soft Set." In Engineering, Science, and Sustainability. CRC Press, 2023. http://dx.doi.org/10.4324/9781003388982-37.

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Subashini, P., and R. Sophia Porchelvi. "On Solving a Multi-criteria Decision Making Problem Using Neutrosophic Soft Set and Its Application." In Lecture Notes in Networks and Systems. Springer Nature Singapore, 2025. https://doi.org/10.1007/978-981-96-0185-1_4.

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Naz, Sumera, Syeda Saba Fatima, Shariq Aziz Butt, Mehwish Majeed, and Areej Fatima. "A Novel MAGDM Approach for Software Quality Assessment: A Focus on Microsoft DevOps Transformation Using 2-Tuple Linguistic Single-Valued Neutrosophic Set." In Studies in Fuzziness and Soft Computing. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-78505-4_21.

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Mukherjee, Anjan. "Interval-Valued Neutrosophic Soft Sets." In Generalized Rough Sets. Springer India, 2015. http://dx.doi.org/10.1007/978-81-322-2458-7_7.

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Palanikumar, M., V. Sreelatha Devi, Chiranjibe Jana, and Gerhard Wilhelm Weber. "Multi-Criteria Group Decision-Making q-Rung Neutrosophic Interval-Valued Soft Set TOPSIS Aggregating Operator for the Selection of Diagnostic Health Imaging." In Fuzzy Optimization, Decision-making and Operations Research. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-35668-1_22.

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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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Sweety, C. Antony Crispin, Sumathi I. R., and Aishwaryapriyadharshini G. "Priority Weighted Neutrosophic Refined Soft Set." 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.ch035.

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This chapter devises a new concept of priority weighted neutrosophic refined soft set (PWNRSS) by combining neutrosophic refined sets and soft sets implemented with prioritized universal elements and weightage-imposed parameters. The concepts of PWNRS subset, PWNRS null set, and PWNRS universal set are defined. Based on the definitions of n-norm and n-co-norm, the theoretical operations of PWNRS sets such as union, intersection, and complement are defined. AND-product and OR-product between two priority-weighted neutrosophic refined soft sets are introduced. Furthermore, priority weights neutr
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Conference papers on the topic "Neutrosophic soft set"

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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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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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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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Binu, R., and P. Isaac. "Weighted Similarity Measure and Decision Making in Clinical Application of Neutrosophic Soft Set." In 2019 International Conference on Data Science and Engineering (ICDSE). IEEE, 2019. http://dx.doi.org/10.1109/icdse47409.2019.8971797.

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