Academic literature on the topic 'Rough neutrosophic set'

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Journal articles on the topic "Rough neutrosophic set"

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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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Bo, Chunxin, Xiaohong Zhang, Songtao Shao, and Florentin Smarandache. "New Multigranulation Neutrosophic Rough Set with Applications." Symmetry 10, no. 11 (2018): 578. http://dx.doi.org/10.3390/sym10110578.

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After the neutrosophic set (NS) was proposed, NS was used in many uncertainty problems. The single-valued neutrosophic set (SVNS) is a special case of NS that can be used to solve real-word problems. This paper mainly studies multigranulation neutrosophic rough sets (MNRSs) and their applications in multi-attribute group decision-making. Firstly, the existing definition of neutrosophic rough set (we call it type-I neutrosophic rough set (NRSI) in this paper) is analyzed, and then the definition of type-II neutrosophic rough set (NRSII), which is similar to NRSI, is given and its properties are
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Crispin Sweety, C. Antony, and I. Arockiarani. "Neutrosophic Rough Set Algebra." International Journal of Mathematics Trends and Technology 38, no. 3 (2016): 154–63. http://dx.doi.org/10.14445/22315373/ijmtt-v38p528.

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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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Al-Quran, Ashraf, Nasruddin Hassan, and Emad Marei. "A Novel Approach to Neutrosophic Soft Rough Set under Uncertainty." Symmetry 11, no. 3 (2019): 384. http://dx.doi.org/10.3390/sym11030384.

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To handle indeterminate and incomplete data, neutrosophic logic/set/probability were established. The neutrosophic truth, falsehood and indeterminacy components exhibit symmetry as the truth and the falsehood look the same and behave in a symmetrical way with respect to the indeterminacy component which serves as a line of the symmetry. Soft set is a generic mathematical tool for dealing with uncertainty. Rough set is a new mathematical tool for dealing with vague, imprecise, inconsistent and uncertain knowledge in information systems. This paper introduces a new rough set model based on neutr
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Yang, Hai-Long, Yan-Ling Bao, and Zhi-Lian Guo. "Generalized interval neutrosophic rough sets and its application in multi-attribute decision making." Filomat 32, no. 1 (2018): 11–33. http://dx.doi.org/10.2298/fil1801011y.

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Neutrosophic set (NS) was originally proposed by Smarandache to handle indeterminate and inconsistent information. It is a generalization of fuzzy sets and intuitionistic fuzzy sets. Wang and Smarandache proposed interval neutrosophic sets (INS) which is a special case of NSs and would be extensively applied to resolve practical issues. In this paper, we put forward generalized interval neutrosophic rough sets based on interval neutrosophic relations by combining interval neutrosophic sets with rough sets. We explore the hybrid model through constructive approach as well as axiomatic approach.
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Suriana Alias, Norzieha Mustapha, Roliza Md Yasin, Norarida Abd Rhani, Muhammad Naim Haikal Yaso, and Hazlin Shahira Ramlee. "Binary Logarithm Similarity Measure with Roughness Approximation." Journal of Mathematics and Computing Science 9, no. 2 (2023): 89–100. https://doi.org/10.24191/jmcs.v9i2.562.

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Roughness measures for uncertainty data occur with less consideration since the data involve indeterminacy and inconsistency. The indeterminacy plus inconsistency can be solved by a rough neutrosophic set with roughness approximation. Therefore, a binary logarithm similarity measure for a rough neutrosophic set with roughness approximation was proposed in this research. A rough neutrosophic set was chosen as the uncertainty set theory information, which includes the upper and lower approximation with a boundary set approximation. The objectives of this research are to define a binary logarithm
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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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Bilgin, Nazmiye Gönul. "ROUGH STATISTICAL CONVERGENCE IN NEUTROSOPHIC NORMED SPACES." Euroasia Journal of Mathematics, Engineering, Natural & Medical Sciences 9, no. 21 (2022): 47–55. http://dx.doi.org/10.38065/euroasiaorg.958.

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In this study, Neutrophic normed spaces, which is one of the popular mathematics topics of recent times, is discussed. The Neutrosophic approach, which argues that it is insufficient to evaluate the problems in daily life as just right and wrong, is based on the principle that the degree of indecision should be taken into account. Now, rough statistical convergence of triple sequences is defined in Neutrosophic normed spaces. Moreover, the important topological properties about to the set of cluster points of roughly statistical convergent triple sequences are given.
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Rogulj, Katarina, Jelena Kilić Pamuković, and Majda Ivić. "Hybrid MCDM Based on VIKOR and Cross Entropy under Rough Neutrosophic Set Theory." Mathematics 9, no. 12 (2021): 1334. http://dx.doi.org/10.3390/math9121334.

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Problems in real life usually involve uncertain, inconsistent and incomplete information. An example of such problems is strategic decision making with respect to remediation planning of historic pedestrian bridges. The multiple decision makers and experts, as well as the various mutually conflicting criteria, unknown criteria weights, and vagueness and duality in final decisions, provide motivation to develop a methodology that is able to resist the challenges implicit in this problem. Therefore, the aim of this research was to propose an algorithm based on the theory of rough neutrosophic se
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Book chapters on the topic "Rough neutrosophic set"

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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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Alias, Suriana, Norzieha Mustapha, Roliza Md Yasin, et al. "Roughness-Dice Similarity Measure Generalization for Rough Neutrosophic Set Application in Investment Company Selection." In Springer Proceedings in Mathematics & Statistics. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-3450-4_1.

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Pramanik, Surapati, Suman Das, Rakhal Das, and Binod Chandra Tripathy. "MADM Strategies Based on Arithmetic and Geometric Mean Operator Under Rough-Bipolar Neutrosophic Set Environment." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2022. http://dx.doi.org/10.1007/978-3-662-66544-2_5.

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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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Smarandache, Florentin, Mumtaz Ali, and Mohsin Khan. "Arithmetic Operations of Neutrosophic Sets, Interval Neutrosophic Sets and Rough Neutrosophic Sets." In Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00045-5_2.

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Mondal, Kalyan, Surapati Pramanik, and Bibhas C. Giri. "Rough Neutrosophic Aggregation Operators for Multi-criteria Decision-Making." In Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00045-5_5.

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Bai, Wenhui, Juanjuan Ding, Chao Zhang, Yanhui Zhai, Deyu Li, and Said Broumi. "Adjustable Multigranulation SVN Probabilistic Rough Sets With Application to Teamwork Evaluations." 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.ch002.

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In the community of generalized fuzzy sets, the notion of single-valued neutrosophic sets (SVNSs) enables individuals to express their preferences by processing the indeterminate information, thus it plays a significant role in intelligent information processing. For addressing teamwork assessment tasks in the education setting, this chapter concentrates on exploring a viable teamwork assessment method via multi-attribute group decision-making (MAGDM). After revisiting basic notions of SVNSs and multigranulation probabilistic rough sets (MG PRSs), this chapter first puts forth a new model name
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Roy, Rumi, Surapati Pramanik, and Tapan Kumar Roy. "Interval Rough Neutrosophic TOPSIS Strategy for Multi-Attribute Decision Making." In Neutrosophic Sets in Decision Analysis and Operations Research. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-2555-5.ch005.

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In this chapter, the authors present a new strategy for multi-attribute decision making in interval rough neutrosophic environment. They define Hamming distance and Euclidean distance between interval rough neutrosophic numbers. They also define interval rough neutrosophic relative positive ideal solution (IRNRPIS) and interval rough neutrosophic relative negative ideal solution (IRNRNIS). Then the ranking order of the alternatives is obtained by the technique for order preference by similarity to ideal solution (TOPSIS) strategy. Finally, a numerical example is provided to demonstrate the app
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Alias, Suriana, Daud Mohamad, and Adibah Shuib. "Rough Neutrosophic Multisets." 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.ch025.

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The effect of uncertainty in information raises human logical thinking due to many variabilities from expert decision making. The generalization of rough neutrosophic multisets theory tries to overcome this problem. The rough neutrosophic multisets allow the multiplicity of information represented by truth membership sequences, indeterminacy membership sequences, and falsity membership sequences. The lower and upper approximations belong to this triple membership sequence, making the information result more valuable since the relationship among this membership sequence makes sense. This chapte
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Conference papers on the topic "Rough neutrosophic set"

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Subha, V. S., and R. Selvakumar. "An Innovative Electric Vehicle Selection with Multi-Criteria Decision-making Approach in Indian brands on a Neutrosophic Hypersoft Rough Set by using Reduct and Core." In 2024 Fourth International Conference on Advances in Electrical, Computing, Communication and Sustainable Technologies (ICAECT). IEEE, 2024. http://dx.doi.org/10.1109/icaect60202.2024.10469585.

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