Relevant bibliographies by topics / Neutrosophic soft sets

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Academic literature on the topic 'Neutrosophic soft sets'

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

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Journal articles on the topic "Neutrosophic soft sets"

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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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R. Anitha Cruz and F. Nirmala Irudayam. "More on R-Union and R-Intersection of Neutrosophic Soft Cubic Set." Mathematical Journal of Interdisciplinary Sciences 6, no. 2 (2018): 93–117. http://dx.doi.org/10.15415/mjis.2018.62008.

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R-unions and R-intersections, R-OR, R-AND of Neutrosophic soft cubic sets are introduced and related properties are investigated. We show that the R-union (R-intersection) of internal neutrosophic soft cubic set is also an internal neutrosophic soft cubic set. We show that the R-union and the R-intersection T-external (I-external, F-external) neutrosophic soft cubic sets are also T-external ( I-external, F-external) neutrosophic soft cubic sets. The conditions for the R-intersection of two cubic soft sets to be both an external neutrosophic soft cubic set and an internal neutrosophic soft cubi
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Vijayalakshmi, B., T. Sujitha, and E. Elavarasan. "Neutrosophic Soft Regular Semiopen Sets in Neutrosophic Soft Topological Spaces." International Journal of Multidisciplinary Research and Growth Evaluation 5, no. 4 (2024): 495–500. http://dx.doi.org/10.54660/.ijmrge.2024.5.5.495-500.

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In this paper, we introduce and study the concept of neutrosophic soft regular semiopen and neutrosophic soft regular semiclosed sets in neutrosophic soft topological spaces. By using neutrosophic soft regular semiopen set, we define a new neutrosophic soft interior operator namely neutrosophic soft regular semi interior operator and neutrosophic soft regular semi neighborhood. Also the relation between these sets and counter examples for the reverse relation are given.
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Şahin, Mehmet, Shawkat Alkhazaleh, and Vakkas Uluçay. "Neutrosophic Soft Expert Sets." Applied Mathematics 06, no. 01 (2015): 116–27. http://dx.doi.org/10.4236/am.2015.61012.

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Fujita, Takaaki. "Fuzzy MultiDirected Sets, Neutrosophic MultiDirected Sets, Plithogenic MultiDirected Sets, Soft MultiDirected Sets, and Hypersoft MultiDirected Sets." HyperSoft Set Methods in Engineering 3 (April 23, 2025): 70–88. https://doi.org/10.61356/j.hsse.2025.3470.

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A fuzzy set generalizes classical sets by assigning each element a membership value in the interval [0, 1], thereby capturing partial or uncertain membership. A Neutrosophic Set extends fuzzy sets by introducing three independent membership degrees: truth, indeterminacy, and falsity, each ranging within [0, 1]. A Plithogenic Set further generalizes classical and fuzzy sets by incorporating attributes, their possible values, and a measure of contradiction. Other notable frameworks for handling uncertainty include the Soft Set and Hypersoft Set, which provide flexible parameterized approaches. A
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Mehmood, Arif, Farkhanda Afzal, Muhammad Imran Khan, Saleem Abdullah, and Saeed Gul. "Neutrosophic Soft Quad Structures Concerning Neutrosophic Soft Points." Mathematical Problems in Engineering 2022 (January 19, 2022): 1–12. http://dx.doi.org/10.1155/2022/8483632.

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In this article, a new concept of neutrosophic soft quad-topological structures is introduced. Generalised neutrosophic soft ∗ b open sets in neutrosophic soft quad-topological structures concerning soft points of the space are introduced. Different results are addressed in neutrosophic soft quad-topological structure on the basis of these new neutrosophic soft ∗ b open sets. Neutrosophic soft separation axioms and other separation axioms are addressed in neutrosophic soft quad-topological structures. The engagement of these axioms is switched over with different results with respect to soft p
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Jumaili, Alaa M. F. AL. "Other Certain Classes of Generalized Neutrosophic Soft Separation Structures." International Journal of Neutrosophic Science 22, no. 1 (2023): 77–85. http://dx.doi.org/10.54216/ijns.220106.

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The main target of introduce our manuscript is to study and investigate another new extension for the classical meanings of neutrosophic soft neighbourhood and soft separation structures namely, neutrosophic soft δ-ß-neighbourhood and neutrosophic soft δ-ß-separation structures based on new idea of neutrosophic soft open sets called, neutrosophic soft δ-ß-open sets which is more general than of the neutrosophic soft open sets. This manuscript is devoted to obtaining some characterizations and essential properties concerning of neutrosophic soft δ-ß- Ti-spaces (i=0, 1, 2, 3, 4) as well the rela
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Priya, A., P. Maragatha Meenakshi, Aiyared Iampan, N. Rajesh, and Suganthi Mariyappan. "Possibility neutrosophic bipolar fuzzy soft sets and their applications." International Journal of Neutrosophic Science 23, no. 1 (2023): 176–92. http://dx.doi.org/10.54216/ijns.230116.

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In this work, the possibility neutrosophic bipolar soft sets interact with the possibility bipolar fuzzy soft sets, as well as complementation, union, intersection, AND, and OR. This paper extends the concept of bipolar neutrosophic soft sets to the possibility neutrosophic bipolar soft sets. Our main goal was to demonstrate De Morgan’s law, associate law and distributive law, which are all the laws related to the possibility neutrosophic bipolar soft sets. Also, we present an algorithm that uses a soft set model to solve the decision-making problem primarily in order to simplify the process.
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Mandal, Debabrata. "Neutrosophic Soft $\Gamma$-Semiring and Its Ideals." International Journal of Fuzzy System Applications 7, no. 2 (2018): 103–13. http://dx.doi.org/10.4018/ijfsa.2018040106.

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As a generalization of fuzzy sets, soft set and neutrosophic sets are applied to many branches of mathematics to overcome the complexities arising from uncertain data. Combining these notions, in this article, the author initiates the study of $\Gamma$-semirings, an extension of semirings, and its ideals by neutrosophic soft sets. After defining some necessary definitions, they investigate neutrosophic soft $\Gamma$-semiring, neutrosophic soft ideals, idealistic neutrosophic soft $\Gamma$-semiring and obtain some of its characterizations.
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Broumi, Said, and Flornetin Smarandache. "Interval-Valued Neutrosophic Soft Rough Sets." International Journal of Computational Mathematics 2015 (January 19, 2015): 1–13. http://dx.doi.org/10.1155/2015/232919.

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We first defined interval-valued neutrosophic soft rough sets (IVN-soft rough sets for short) which combine interval-valued neutrosophic soft set and rough sets and studied some of its basic properties. This concept is an extension of interval-valued intuitionistic fuzzy soft rough sets (IVIF-soft rough sets).
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Book chapters on the topic "Neutrosophic soft sets"

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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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Kostelić, Katarina, and Marli Gonan Božac. "Nuances of Satisfaction: An Approach Using Neutrosophic Sets." In Studies in Fuzziness and Soft Computing. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-78505-4_19.

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Syropoulos, Apostolos, Binod Kumar Sharma, and Basil K. Papadopoulos. "Neutrosophic Sets and the Production and Distribution of Electricity." In Studies in Fuzziness and Soft Computing. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-78505-4_20.

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Narmada Devi, R., Kala Raja Mohan, Nagadevi Bala Nagaram, Sathish Kumar Kumaravel, and Regan Murugesan. "Promothee Method in Selecting Best Smart Phone Supplier by Fertamean Neutrosophic Sets." In Studies in Fuzziness and Soft Computing. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-78505-4_18.

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Ajay, Devaraj, and P. Chellamani. "Pythagorean Neutrosophic Soft Sets and Their Application to Decision-Making Scenario." In Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-85577-2_65.

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Maji, Pabitra Kumar. "An Application of Weighted Neutrosophic Soft Sets in a Decision-Making Problem." In Springer Proceedings in Mathematics & Statistics. Springer India, 2015. http://dx.doi.org/10.1007/978-81-322-2301-6_16.

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Ramesh Kumar, S., and A. Stanis Arul Mary. "Utilizing Decision Theory in Agriculture with Quadripartitioned Neutrosophic Soft Sets in the Midst of Uncertainty." In Information Systems Engineering and Management. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-71125-1_40.

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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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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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Hussain S., Satham, Jahir Hussain R., Isnaini Rosyida, and Said Broumi. "Quadripartitioned Neutrosophic Soft Graphs." 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.ch034.

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The neutrosophic quadripartitioned soft model is a hybrid model by combining neutrosophic soft sets with quadripartitioned sets. This work concerns with the quadripartitioned neutrosophic soft graphs for treating neutrosophic soft information by employing the theory of quadripartitioned neutrosophic soft sets with graphs. Operations like Cartesian product, cross product, lexicographic product, and strong product of quadripartitioned neutrosophic soft graphs are established. The proposed concepts are explained with examples.
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Conference papers on the topic "Neutrosophic soft sets"

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Kaur, Kamalpreet, and Asha Gupta. "q-rung orthopair neutrosophic fuzzy rough sets with an application based on multi-criteria decision-making." In 2024 11th International Conference on Soft Computing & Machine Intelligence (ISCMI). IEEE, 2024. https://doi.org/10.1109/iscmi63661.2024.10851579.

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Al-Quran, Ashraf, and Nasruddin Hassan. "Mapping on complex neutrosophic soft expert sets." In THE 2017 UKM FST POSTGRADUATE COLLOQUIUM: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium. Author(s), 2018. http://dx.doi.org/10.1063/1.5028026.

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Jeeva, D., A. Vadivel, and D. Sivakumar. "M-open sets in neutrosophic soft topological spaces." In THE 12TH INTERNATIONAL CONFERENCE ON MECHANICAL ENGINEERING (TSME-ICoME 2022). AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0208371.

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Mathews, Priya, and Lovelymol Sebastian. "Hausdorff distance of neutrosophic fuzzy sets for medical diagnosis." In 2nd INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCES-MODELLING, COMPUTING AND SOFT COMPUTING (CSMCS 2022). AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0154022.

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Journal articles
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