Academic literature on the topic 'Complex neutrosophic set'

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Journal articles on the topic "Complex neutrosophic set"

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Ali, Mumtaz, and Florentin Smarandache. "Complex neutrosophic set." Neural Computing and Applications 28, no. 7 (2016): 1817–34. http://dx.doi.org/10.1007/s00521-015-2154-y.

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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-Quran, Ashraf Al, Abd Ghafur .., Faisal Al Al-Sharqi, and Abdalwali Lutfi. "Q-Complex Neutrosophic Set." International Journal of Neutrosophic Science 20, no. 2 (2023): 08–19. http://dx.doi.org/10.54216/ijns.200201.

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Most complex problems in the real-world typically involve uncertain,incomplete and indeterminate two-dimen sional data i.e. information pertaining to the attributes and the periodicity of the problem parameters. To meet the demand for models that has the ability to handle these information with these characteristics, the introduction of neutrosophic sets (NSs) was followed by their extension to the complex neutrosophic sets (CNSs). In this paper, we introduce the concept of Q- complex neutrosophic set (Q-CNS) by extending the ranges of the membership functions in Q-neutrosophic set (Q-NS) from
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Kalaiyarasan, V., and K. Muthunagai. "Complex Neutrosophic Fuzzy Set." Mathematics and Statistics 12, no. 1 (2024): 41–47. http://dx.doi.org/10.13189/ms.2024.120106.

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Rosli, Siti Nuri Idara, and Mohammad Izat Emiri Zulkifly. "Bézier Curve Interpolation Model for Complex Data by Using Neutrosophic Approach." EDUCATUM Journal of Science, Mathematics and Technology 12, no. 1 (2024): 1–9. https://doi.org/10.37134/ejsmt.vol12.1.1.2025.

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Since certain data are ignored owing to noise, coping with the complex data with neutrosophic features is problematic. This paper suggests a neutrosophic set strategy for interpolating the Bézier curve to overcome this issue. Thus, depending on the neutrosophic set notion, this work introduces the Bézier curve interpolation method for neutrosophic data. Using the neutrosophic set and its attributes, the neutrosophic control point is specified first. After that, the Bernstein basis function is linked to the control point and yields a neutrosophic Bézier. This curve is then shown using an interp
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Xu, Dongsheng, Xiangxiang Cui, and Huaxiang Xian. "An Extended EDAS Method with a Single-Valued Complex Neutrosophic Set and Its Application in Green Supplier Selection." Mathematics 8, no. 2 (2020): 282. http://dx.doi.org/10.3390/math8020282.

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The single-valued complex neutrosophic set is a useful tool for handling the data with uncertainty and periodicity. In this paper, a single-valued complex neutrosophic EDAS (evaluation based on distance from average slution) model has been established and applied in green supplier selection. Firstly, the definition of single-valued complex neutrosophic set and corresponding operational laws are briefly introduced. Next, to fuse overall single-valued complex neutrosophic information, the SVCNEWA and SVCNEWG operators based on single-valued complex neutrosophic set, Einstein product and sum are
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Al-Quran, Ashraf, Nasruddin Hassan, and Shawkat Alkhazaleh. "Fuzzy Parameterized Complex Neutrosophic Soft Expert Set for Decision under Uncertainty." Symmetry 11, no. 3 (2019): 382. http://dx.doi.org/10.3390/sym11030382.

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In the definition of the complex neutrosophic soft expert set (CNSES), parameters set is a classical set, and the parameters have the same degree of importance, which is considered as 1. This poses a limitation in modeling of some problems. This paper introduces the concept of fuzzy parameterized complex neutrosophic soft expert set (FP-CNSES) to handle this issue by assigning a degree of importance to each of the problem parameters. We further develop FP-CNSES by establishing the concept of weighted fuzzy parameterized complex neutrosophic soft expert set (WFP-CNSES) based on the idea that ea
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Rosli, Siti Nur Idara, and Mohammad Izat Emir Zulkifly Zulkifly. "Interval Neutrosophic Cubic Bézier Curve Approximation Model for Complex Data." Malaysian Journal of Fundamental and Applied Sciences 20, no. 2 (2024): 336–46. http://dx.doi.org/10.11113/mjfas.v20n2.3240.

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Complex data is defined as data that has the qualities of huge data, a lack of data information, and uncertainty. This paper discussed constructing the interval neutrosophic cubic Bézier curve (INCBC) approximation model for complex data. To construct the interval neutrosophic data point (INDP) based on the definition of interval neutrosophic set (INS), interval neutrosophic relation (INR) and interval neutrosophic point (INP). Next is the introduction of an interval neutrosophic control point (INCP) that blends with the theory of interval neutrosophic set and the Bernstein basis function. Lat
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CHENG, H. D., YANHUI GUO, and YINGTAO ZHANG. "A NOVEL IMAGE SEGMENTATION APPROACH BASED ON NEUTROSOPHIC SET AND IMPROVED FUZZY C-MEANS ALGORITHM." New Mathematics and Natural Computation 07, no. 01 (2011): 155–71. http://dx.doi.org/10.1142/s1793005711001858.

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Image segmentation is an important component in image processing, pattern recognition and computer vision. Many segmentation algorithms have been proposed. However, segmentation methods for both noisy and noise-free images have not been studied in much detail. Neutrosophic set (NS), a part of neutrosophy theory, studies the origin, nature, and scope of neutralities, as well as their interaction with different ideational spectra. However, neutrosophic set needs to be specified and clarified from a technical point of view for a given application or field to demonstrate its usefulness. In this pa
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Gulistan, Muhammad, and Salma Khan. "Extentions of neutrosophic cubic sets via complex fuzzy sets with application." Complex & Intelligent Systems 6, no. 2 (2019): 309–20. http://dx.doi.org/10.1007/s40747-019-00120-8.

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Abstract In this paper, we propose that the complex neutrosophic cubic set (internal and external) show, which is a blend of complex fuzzy sets, neutrosophic sets, and cubic sets. We characterize a few set theoretic activities of internal complex neutrosophic sets, for example, union, intersection and complement, and a while later the operational principles. A few ideas identified with the structure of this model are clarified. We present some accumulation administrators and talk about some basic leadership issue with genuine model.
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Book chapters on the topic "Complex neutrosophic set"

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Khan, Mohsin, Sadaf Umar, and Said Broumi. "Laplacian Energy of a Complex Neutrosophic Graph." In Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00045-5_9.

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Broumi, Said, Assia Bakali, Mohamed Talea, et al. "Bipolar Complex Neutrosophic Sets and Its Application in Decision Making Problem." In Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00045-5_26.

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R, Subha, and Mohana K. "COMPLEX FERMATEAN PENTAPATITIONED NEUTROSOPHIC SETS AND ITS APPLICATIONS." In Recent Trends in Fuzzy Set Theory and its Applications. Iterative International Publishers, Selfypage Developers Pvt Ltd, 2024. http://dx.doi.org/10.58532/nbennurch284.

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Complex fuzzy sets and complex intuitionistic fuzzy sets are unable to dealing with inexact, undetermined, discrepant, and inadequate periodic fact. To deal this issue, propose a complex fermatean pentapartitioned neutrosophic set whose complex valued truth membership function, complex valued contradiction membership function, complex valued ignorance membership function, complex valued unknown membership function, and complex valued false membership function are the combination of real valued truth amplitude term in related with phase term, real-valued contradiction amplitude term in related
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Bathusha, Suber, Sowndharya Jayakumar, and S. Angelin Kavitha Raj. "A Novel on Virtual Social Network Analysis Utilising Interval-Valued Complex Neutrosophic Graph Structures." In Advances in Systems Analysis, Software Engineering, and High Performance Computing. IGI Global, 2024. http://dx.doi.org/10.4018/979-8-3693-2085-3.ch005.

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The interval-valued complex neutrosophic set (IVCNS), an expansion of the interval-valued neutrosophic set (IVNS), provides a more precisecharacterisation of uncertainty than traditional fuzzy sets. Fuzzy control can use it in a variety of ways. In this research study, the authors also introduce the adjacency matrix IVCNGS notion as well as the idea of an isomorphic adjacency matrix. They also introduce interval-valued complex neutrosophic graph structures (IVCNGS). They use an example to investigate a number of IVCNGS adjacency matrix properties. In addition, they introduce the ideas of edge
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Mondal, Kalyan, Surapati Pramanik, and Bibhas C. Giri. "Some similarity measures for MADM under a complex neutrosophic set environment." In Optimization Theory Based on Neutrosophic and Plithogenic Sets. Elsevier, 2020. http://dx.doi.org/10.1016/b978-0-12-819670-0.00005-6.

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Mahapatra, Biplab Sinha, Mihir Baran Bera, Manoj Kumar Mondal, and Pinaki Pratim Acharjya. "A Probabilistic Approach for Renewable Energy Alternative Selection Through Correlation-Based Neutrosophic TOPSIS Approach." In Advances in Chemical and Materials Engineering. IGI Global, 2024. https://doi.org/10.4018/979-8-3693-3204-7.ch012.

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The selection of renewable energy alternatives becomes critical due to several quantitative and qualitative factors describing the criteria. Often these criteria cannot be appropriately quantified due to linguistic assessment. Hence, selecting renewable energy alternatives becomes a complex, uncertain multi-criteria decision-making (MCDM) problem. Several soft set-based TOPSIS approaches are used to solve uncertain MCDM problems. In this chapter, the authors introduce a neutrosophic soft set-based TOPSIS approach to solve MCDM problems in an uncertain situation. The TOPSIS methods calculate th
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Sweety, C. Antony Crispin, and S. Bhuvaneshwari. "Application of the Neutrosophic Spherical Sets in Education." 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.ch007.

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Neutrosophic logic is the science of artificial intelligence that enables information systems to simulate human understanding. Neutrosophic logic enables computers to understand complex concepts with indeterministic constraints. It incorporates human intellect into machines and tries to exhibit human decision-making skills. Hence, neutrosophic logic makes predictions and inferences based on its knowledge, turning it into a tool for users to explore ideas and conclude on perfect solutions for real-time problems that involve indeterminacy. Neutrosophic logic finds varied applications in the fiel
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Ding, Juanjuan, Wenhui Bai, Chao Zhang, Deyu Li, and Said Broumi. "A New Neutrosophic Multigranulation Model for Multi-Attribute 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.ch024.

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Neutrosophic theories and methods are suitable for handling a variety of uncertain information, especially in complex decision-making situations. Nowadays, how to study multi-attribute group decision-making (MAGDM) problems in neutrosophic environments is a vital task for scholars and practitioners. Granular computing is a popular mathematical framework for uncertain problems, and it has been proved as a useful tool for solving MAGDM problems. In this chapter, a new neutrosophic multigranulation model for MAGDM is proposed, and some theoretical models and decision-making algorithms are present
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Biswas, Siddhartha Sankar. "Real-Time Neutrosophic Graphs for Communication Networks." In Neutrosophic Sets in Decision Analysis and Operations Research. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-2555-5.ch015.

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In this century the communication networks are expanding very fast in huge volumes in terms of their nodes and the connecting links. But for a given alive communication network, its complete core topology may not be always available to the concerned communication systems at a given real point of time. Thus, at any real-time instant the complete graph may not be available, but a subgraph of it to the system for executing its communication or transportation activities may be. In this chapter, the author introduces ‘real-time neutrosophic graphs' (RTN-graphs) in which all real-time information (b
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