Relevant bibliographies by topics / Smarandache basis

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Academic literature on the topic 'Smarandache basis'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Smarandache basis"

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Pietkiewicz, Tadeusz. "Fusion of Identification Information from ESM Sensors and Radars Using Dezert–Smarandache Theory Rules." Remote Sensing 15, no. 16 (2023): 3977. http://dx.doi.org/10.3390/rs15163977.

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This paper presents a method of fusion of identification (attribute) information provided by two types of sensors: combined primary and secondary (IFF) surveillance radars and ESMs (electronic support measures). In the first section, the basic taxonomy of attribute identification is adopted in accordance with the standards of STANAG 1241 ed. 5 and STANAG 1241 ed. 6 (draft). These standards provide the following basic values of the attribute identifications: FRIEND; HOSTILE; NEUTRAL; UNKNOWN; and additional values, namely ASSUMED FRIEND and SUSPECT. The basis of theoretical considerations is De
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Alamin, Abdul, Aditi Biswas, Kamal Hossain Gazi, and Sankar Prasad Mondal Sankar. "Modelling with Neutrosophic Fuzzy Sets for Financial Applications in Discrete System." Spectrum of Engineering and Management Sciences 2, no. 1 (2024): 263–80. https://doi.org/10.31181/sems21202433a.

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A unique branch of philosophy known as "Neutrosophy" describes the nature, genesis and scope of neutralities. F. Smarandache originated the neutrosophic set. As an extension of the intuitionistic set, he showed the degree of indeterminacy as an independent component. The application of the neutrosophic numbers, that is, the financial applications in discrete systems is analysed here. In this research paper, we consider the two cases of the financial applications of the neutrosophic environment with its numerical illustration on the basis of fuzzy difference equations.
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Saber, Yaser, Fahad Alsharari, and Florentin Smarandache. "On Single-Valued Neutrosophic Ideals in Šostak Sense." Symmetry 12, no. 2 (2020): 193. http://dx.doi.org/10.3390/sym12020193.

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Neutrosophy is a recent section of philosophy. It was initiated in 1980 by Smarandache. It was presented as the study of origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. In this paper, we introduce the notion of single-valued neutrosophic ideals sets in Šostak’s sense, which is considered as a generalization of fuzzy ideals in Šostak’s sense and intuitionistic fuzzy ideals. The concept of single-valued neutrosophic ideal open local function is also introduced for a single-valued neutrosophic topological space. The basic structure, espe
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Wadei, Wadei, M. M.Kaviyarasu, and Rajeshwari M. "Operations on Translation of Fermatean Neutrosophic INK-Algebra." International Journal of Neutrosophic Science 25, no. 4 (2025): 135–46. https://doi.org/10.54216/ijns.250411.

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This paper investigates the theoretical basis of fermatean neutrosophic sets, which were first introduced by Smarandache, to clarify the relationship between single-valued fermatean neutrosophic sets and their role as specific subsets in the wider context of fermatean neutrosophic sets, particularly in science and engineering. This study investigates fermatean neutrosophic INK-ideals within INK-algebras using the translation concept, which is proposed as an extension of intuitionistic fuzzy sets. First, translation fermatean neutrosophic INKalgebras are presented and their fundamental features
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Fang, Yingwu. "ADAPTIVE VISUAL TRACKING METHOD OF FUSING MULTIPLE INFORMATION." Latin American Applied Research - An international journal 50, no. 1 (2019): 27–32. http://dx.doi.org/10.52292/j.laar.2020.165.

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The objective is to present an adaptive tracking approach of visual objects in the framework of particle filters (PF) and conflict redistribution strategy based on Dezert-Smarandache theory (DSmT). A combination rule of conflict redistribution was introduced into the researches on visual objects tracking, position and color information of moving objects were combined by modified combination strategy information, and the objects tracking model of fusing multiple information on the condition of occluded objects was established effectively. On the basis of building the execution panel of objects
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Liu, Yanpei. "Surface Embeddability of Graphs via Reductions." International J.Math. Combin. Vol.3 (May 1, 2011): 61–67. https://doi.org/10.5281/zenodo.9152.

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Shved, A. V. "DEVELOPMENT OF TECHNIQUE FOR DETERMINING THE MEMBERSHIP FUNCTION VALUES ON THE BASIS OF GROUP EXPERT ASSESSMENT IN FUZZY DECISION TREE METHOD." Radio Electronics, Computer Science, Control, no. 2 (June 27, 2024): 106. http://dx.doi.org/10.15588/1607-3274-2024-2-11.

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Context. Recently, fuzzy decision trees have become widely used in solving the classification problem. In the absence of objective information to construct the membership function that shows the degrees of belongingness of elements to tree nodes, the only way to obtain information is to involve experts. In the case of group decision making, the task of aggregation of experts’ preferences in order to synthesize a group decision arises. The object of the study is group expert preferences of the degree of belonging (membership function) of an element to a given class, attribute, which require str
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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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A. Soliman, Entesar. "Basic concepts of neutrosophic crisp sets." Libyan Journal of Science &Technology 12, no. 1 (2024): 187–93. https://doi.org/10.37376/ljst.v12i1.7057.

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The world around us is characterized by specificity, ambiguity, and contradiction, which led to a lack of our full knowledge of its facts and events. Therefore, we became in need of a new vision and a logical system that fits our incomplete information. In 1965, the American scientist F. Smarandache presented neutrosophic logic as a generalization of fuzzy logic and intuitive fuzzy logic. He added a new component to the degrees of a membership function and a non-membership function, which is the degree of indeterminacy. The crispneutrosophic sets presented by Ahmed Salama is considered a gener
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Voskoglou, Michael Gr. "From Zadeh’s Fuzziness to Smarandache’s Neutrosophy: A Review." International Journal of Applied Mathematics, Computational Science and Systems Engineering 4 (December 31, 2022): 98–104. http://dx.doi.org/10.37394/232026.2022.4.13.

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The present paper reviews the process that led from Zadeh’s fuzziness to Smarandache’s neutrosophy. Starting from fuzzy sets and logic and Atanassov’s intuitionistic fuzzy sets, it proceeds to a detailed study of the concept of neutrosophic set, which takes in account the existing in real life indeterminacy. The basic operations on neutrosophic sets are defined and the classical notion of topological space is extended to the notion of neutrosophic topological space, where fundamental properties and concepts like convergence, continuity, compactness and Hausdorff topological spaces are naturall
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Conference papers on the topic "Smarandache basis"

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Ren, Jinshen, Botao Jiang, and Fuyu Zhao. "Simultaneous Fault Diagnosis of the Reactor Coolant System Based on the DSM Evidence Theory." In 2013 21st International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/icone21-16209.

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Fault diagnosis of nuclear power plant (NPP) has become a major research topic in ensuring the reliability and safety for the NPP operation. In the light of complexity and information uncertainty of nuclear reactor coolant system, some diagnosis techniques based on the multi-sensor information fusion theories have been widely used. As one part of the those theories, the Dempster-Shafer (D-S) theory excelled in demonstrating and combining uncertain information has witnessed a wide range of applications in the fault diagnosis fields. It can be inferred from the previous studies that the fault di
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Wu, Xiao-tian, Yong-kuo Liu, Zhen Liu, and Fei Xie. "Research on Simultaneous Faults Diagnosis for Nuclear Power Plant Based on Dezert-Smarandache Theory." In 2013 21st International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/icone21-15906.

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Since the nuclear power plant is complex in structure and high-requirement in reliability, it is meaningful for the safety to build an intelligent faults diagnosis system. In recent years the Dezert-Smarandache Theory (DSmT) was put forward to relax the constraint of the exclusivity and provides a new way to deal with simultaneous and multiple faults. In this paper, a fusion model has been built and divided into three levels. The original data of the sensor has been decrease in data level. And then the BP neural network have been used for primary diagnosis and import the result to decision lev
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Pietkiewicz, Tadeusz, and Adam Kawalec. "A method of determining the basic belief assignment for combined primary and secondary surveillance radars based on Dezert-Smarandache theory." In 2016 17th International Radar Symposium (IRS). IEEE, 2016. http://dx.doi.org/10.1109/irs.2016.7497297.

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