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Relevant bibliographies by topics / Neutrosophic Crisp Set

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Academic literature on the topic 'Neutrosophic Crisp Set'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Neutrosophic Crisp Set"

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Al-Hamido, Riad K. Al. "New Operators Using Neutrosophic Crisp Open Set." International Journal of Neutrosophic Science 20, no. 1 (2023): 17–26. http://dx.doi.org/10.54216/ijns.200102.

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In this paper, we introduce new sets in neutrosophic crisp topology called neutrosophic crisp frontier, neutrosophic crisp border and neutrosophic crisp exterior with the help of neutrosophic crisp open sets in neutrosophic crisp topological space. Also, we discuss the basic and important properties of them and the relations between them. Finally, many examples are presented.

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Salama, A. A., Said Broumi, and Florentin Smarandache. "Neutrosophic Crisp Open Set and Neutrosophic Crisp Continuity via Neutrosophic Crisp Ideals." International Journal of Information Engineering and Electronic Business 6, no. 3 (2014): 1–8. http://dx.doi.org/10.5815/ijieeb.2014.03.01.

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A.A., Salama, K.F.Alhasan, A. Elagamy H., and Smarandache Florentin. "Neutrosophic Dynamic Set." Neutrosophic Knowledge 3, no. 1 (2021): 1–5. https://doi.org/10.5281/zenodo.5507522.

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In this paper, we introduced the concept of the dynamic set according to modern logic, is neutrosophic logic. We study the neutrosophic dynamic set according to time and random variable depended on dynamic set. Neutrosophic dynamic is a dynamic analysis of a sequence of data through of time. It used in many problems in life such as a mathematical statistic, philosophy, medicine, engineering. Some examples and notes are presented.

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Riad, K. Al-Hamido. "Neutrosophic Crisp Bi-Topological Spaces." Neutrosophic Sets and Systems 21 / 2018 (September 4, 2018): 66–73. https://doi.org/10.5281/zenodo.1408696.

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In this paper, neutrosophic crisp bi-topological spaces, new types of open and closed sets in neutrosophic crisp bitopological spaces, the closure and interior neutrosophic crisp set and a new concept of open and closed sets are introduced. The basic properties of these types of open and closed sets and their properties are studied.

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Doaa, Doaa, and L. A. A. Al Al-Swidi. "Stable Neutrosophic Crisp Topological Space." International Journal of Neutrosophic Science 24, no. 1 (2024): 154–59. http://dx.doi.org/10.54216/ijns.230411.

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The significance and influence of neutrosophic crisp set theory in numerous scientific domains, particularly topology, led us to construct a new definition of topology based on neutrosophic crisp sets, allowing us to regulate its key mathematical ideas. Therefore, we constructed this definition and dubbed it stable neutrosophic crisp topology, where we went over the key idea which is the interior with the vital features.

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Sabir majeed, Amir, and Nabeel Ezzulddin Arif. "Domination (set and Number) in Neutrosophic Soft over Graphs." Wasit Journal of Pure sciences 1, no. 3 (2022): 26–43. http://dx.doi.org/10.31185/wjps.65.

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By combining the ideas of neutrosophic soft sets and oversets in graphs and replacing each crisp or neutrosophic set by overset at each vertex and edge, we present a new framework for treating neutrosophic soft information (NSI) in this research.

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R, Hema, Sudharani R, and Kavitha M. "A Novel Approach on Plithogenic Interval Valued Neutrosophic Hypersoft Sets and its Application in Decision Making." Indian Journal of Science and Technology 16, no. 32 (2023): 2494–502. https://doi.org/10.17485/IJST/v16i32.1302.

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Abstract <strong>Objectives:</strong> In problem solving process, we have advanced the study of plithogenic interval valued neutrosophic hypersoft set, to analyse with all the appendages and traits under consideration for getting the better accuracy for the multi criterion decision making environment. <strong>Methods:</strong> Based on the combination of hypersoft sets, plithogenic sets and neutrosophic fuzzy sets, a plithogenic interval valued neutrosophic hypersoft set has been proposed. <strong>Findings:</strong> The tnorm , tconorm, accuracy function and plithogeni

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D. Sasikala. "On Determining Shortest Path Problem under Pentagonal Neutrosophic Fuzzy Number." Communications on Applied Nonlinear Analysis 31, no. 2s (2024): 09–16. http://dx.doi.org/10.52783/cana.v31.588.

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Neutrosophic sets is the generalization of fuzzy set theory. In this discipline the crucial situation are widely explained in three components appear in it in distinct fields. The study of Neutrosophy deals with the interactions of different ideational spectra. And also the shortest path method is one of the important tool in network analysis. In this approach the pentagonal neutrosophic fuzzy number is applied to determine the shortest path. A score function is used to defuzzify the number into crisp number. The new algorithm evaluates the shortest path for pentagonal neutrosophic fuzzy envir

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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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Surya, V., and R. Sophia Porchelvi. "Evaluation of Vital Parameters Influencing Oxygen Demand with Pythagorean Neutrosophic-Fuzzy Cognitive Map." Indian Journal Of Science And Technology 17, no. 29 (2024): 3018–25. http://dx.doi.org/10.17485/ijst/v17i29.1734.

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Objectives: The primary goal is to provide a novel idea known as the Pythagorean neutrosophic fuzzy cognitive map. A multi-objective goal programming issue with a set of objectives and constraints is solved using PNCM. Methods: Linguistic variables are transformed into crisp values using a score function and the Pythagorean neutrosophic quantification scale. The linear combinations of crisp values and factors yield the goal and constraint equations. Findings: To enhance decision-making in emergency situations like COVID-19, the implications of the novel PNCM concept were utilized to examine th

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Book chapters on the topic "Neutrosophic Crisp Set"

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Basumatary, Bhimraj, and Jili Basumatary. "Cardinalities of Neutrosophic Sets and Neutrosophic Crisp Sets." In Data-Driven Modelling with Fuzzy Sets. CRC Press, 2024. http://dx.doi.org/10.1201/9781003487104-4.

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Pratihar, Jayanta, Ranjan Kumar, Arindam Dey, and Said Broumi. "Transportation Problem in Neutrosophic Environment." In Advances in Data Mining and Database Management. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-1313-2.ch007.

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The transportation problem (TP) is popular in operation research due to its versatile applications in real life. Uncertainty exists in most of the real-life problems, which cause it laborious to find the cost (supply/demand) exactly. The fuzzy set is the well-known field for handling the uncertainty but has some limitations. For that reason, in this chapter introduces another set of values called neutrosophic set. It is a generalization of crisp sets, fuzzy set, and intuitionistic fuzzy set, which is handle the uncertain, unpredictable, and insufficient information in real-life problem. Here c

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Ali, Mumtaz, Florentin Smarandache, and Luige Vladareanu. "Neutrosophic Sets and Logic." In Emerging Research on Applied Fuzzy Sets and Intuitionistic Fuzzy Matrices. IGI Global, 2017. http://dx.doi.org/10.4018/978-1-5225-0914-1.ch002.

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Neutrosophic sets and Logic plays a significant role in approximation theory. It is a generalization of fuzzy sets and intuitionistic fuzzy set. Neutrosophic set is based on the neutrosophic philosophy in which every idea Z, has opposite denoted as anti(Z) and its neutral which is denoted as neut(Z). This is the main feature of neutrosophic sets and logic. This chapter is about the basic concepts of neutrosophic sets as well as some of their hybrid structures. This chapter starts with the introduction of fuzzy sets and intuitionistic fuzzy sets respectively. The notions of neutrosophic set are

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Basumatary, Bhimraj, Jeevan Krishna Khaklary, Nijwm Wary, and Florentin Smarandache. "On Neutro-Topological Spaces and Their Properties." In Advances in Computer and Electrical Engineering. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-6684-3495-6.ch011.

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There is a lot of ambiguous information in the real world that crisp values can't manage. The fuzzy set theory was proposed by Zadeh. It is an age-old and excellent tool for dealing with uncertain information. As a result, intuitionistic fuzzy set theory was suggested. However, these theories are incapable of dealing with all forms of uncertainty, such as indeterminate and inconsistent data in various decision-making situations. To address this shortfall, Smarandache proposed the neutrosophic set theory by introducing a degree of indeterminacy as an independent component. In this current decad

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Mahapatra, Nirmal Kumar, and Tuhin Bera. "Generalised Single-Valued Neutrosophic Number and Its Application to Neutrosophic Linear Programming." In Neutrosophic Sets in Decision Analysis and Operations Research. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-2555-5.ch009.

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In this chapter, the concept of single valued neutrosophic number (SVN-Number) is presented in a generalized way. Using this notion, a crisp linear programming problem (LP-problem) is extended to a neutrosophic linear programming problem (NLP-problem). The coefficients of the objective function of a crisp LP-problem are considered as generalized single valued neutrosophic number (GSVN-Number). This modified form of LP-problem is here called an NLP-problem. An algorithm is developed to solve NLP-problem by simplex method. Finally, this simplex algorithm is applied to a real-life problem. The pr

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Rajeswari, S., Sugapriya C., Nagarajan Deivanayagam Pillai, Said Broumi, and Florentin Smarandache. "Application of Triangular Fuzzy Neutrosophic Number to an Effective Economic Order Quantity Model." 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.ch029.

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The advance payment of acquiring cost is mostly encouraged by both supplier and retailer in current situations. This chapter discusses the economic order quantity model with multiple payments of acquiring cost in advance at equal intervals. The current research examines two-warehouse economic order quantity model with imperfect items under neutrosophic environment by considering the proportion of defective product as triangular fuzzy neutrosophic number. An inventory model is framed, and the proposed model is formulated under triangular neutrosophic environment. The expected total profit and t

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Radwan, Nouran M., and Wael K. Hanna. "An Adaptive eLearning Sequence Based on Neutrosophic Logic." 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.ch028.

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In recent years, e-learning has become a revolutionary competitive method. Adapting the content according to learner knowledge is a current challenge in e-learning systems. Currently, most of the e-learning systems evaluate the learner's knowledge level according to crisp responses that are taken during the learning process. Therefore, one of the most significant challenges in e-learning is how to improve the course adaptation in order to achieve high-quality interaction for all learners. Adaptation is an efficient way to help learners to learn their learning activities in easy and a suitable

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