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Relevant bibliographies by topics / Neutrosophic Probability

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Academic literature on the topic 'Neutrosophic Probability'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Neutrosophic Probability"

1

Ishtiaq, Umar, Khalil Javed, Fahim Uddin, Manuel de la Sen, Khalil Ahmed, and Muhammad Usman Ali. "Fixed Point Results in Orthogonal Neutrosophic Metric Spaces." Complexity 2021 (August 9, 2021): 1–18. http://dx.doi.org/10.1155/2021/2809657.

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Neutrosophy deals with neutrosophic logic, probability, and sets. Actually, the neutrosophic set is a generalization of the classical set, fuzzy set, and intuitionistic fuzzy set. A neutrosophic set is a mathematical notion serving issues containing inconsistent, indeterminate, and imprecise data. The notion of intuitionistic fuzzy metric space is useful in modelling some phenomena, where it is necessary to study the relationship between two probability functions. In this study, the concept of an orthogonal neutrosophic metric space is initiated. It is a generalization of the neutrosophic metr

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2

Abdul, Abdul, K. Mohana, David Winster P. Devanayan, Krishnaprasad Krishnaprasad, D. Sandhya, and Pradeep Kumar SV. "Generalized p-Transmuted Neutrosophic Distributions: Theory and its Applications." International Journal of Neutrosophic Science 24, no. 3 (2024): 201–19. http://dx.doi.org/10.54216/ijns.240318.

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The study of neutrosophy offers a fresh approach for handling uncertain data with adaptability. This article explores the application of neutrosophic probability distribution in constructing a transmuted neutrosophic framework. Specifically, it introduces a generalized transmuted neutrosophic distribution. Building upon this generalization, quadratic and cubic transmuted distributions are developed and examined alongside certain lifetime distributions serving as foundational neutrosophic models. Additionally, an empirical investigation is conducted to assess the practicality and versatility of

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3

Ishtiaq, Umar, Khaleel Ahmad, Farhan Ali, Moazzama Faraz, and Ioannis K. Argyros. "Common Fixed-Point Theorems for Families of Compatible Mappings in Neutrosophic Metric Spaces." Foundations 3, no. 4 (2023): 738–65. http://dx.doi.org/10.3390/foundations3040042.

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Sets, probability, and neutrosophic logic are all topics covered by neutrosophy. Moreover, the classical set, fuzzy set, and intuitionistic fuzzy set are generalized using the neutrosophic set. A neutrosophic set is a mathematical concept used to solve problems with inconsistent, ambiguous, and inaccurate data. In this article, we demonstrate some basic fixed-point theorems for any even number of compatible mappings in complete neutrosophic metric spaces. Our primary findings expand and generalize the findings previously established in the literature.

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4

Zeina, Mohamed Bisher, Mohammad Abobala, Ahmad Hatip, Said Broumi, and Sarah Jalal Mosa. "Algebraic Approach to Literal Neutrosophic Kumaraswamy Probability Distribution." Neutrosophic Sets and Systems 54 (April 11, 2023): 124–38. https://doi.org/10.5281/zenodo.7817731.

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In this paper we have successfully constructed the literal neutrosophic Kumaraswamy probability distribution. We mean by literal neutrosophic probability distribution that parameters of the distribution and the values that the random variable describing the distribution all take literal neutrosophic numbers of the form 𝜃𝑁 = 𝑎+𝑏𝐼 ; 𝐼2 = 𝐼 which differs from interval-valued neutrosophic probability distributions in which parameters of theses distributions take the form 𝜃𝑁 ∈ [𝐿, 𝑈]. We have derived the neutrosophic form of the probability density function, cumulative distribution function, s

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5

Kawther, Kawther. "On Neutrosophic Truncation." International Journal of Neutrosophic Science 24, no. 4 (2024): 193–204. http://dx.doi.org/10.54216/ijns.240414.

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Neutrosophic have found their place in neutrosophic studies due to the prevalence of indeterminacy in the world. We present the novel notion of neutrosophic truncated distribution, which is highly significant in analyzing events that involve the exclusion of certain data from the original dataset, particularly where there is a presence of indeterminacy in data. Unsure or ambiguous information, which is disregarded in classical logic, is incorporated within neutrosophic logic due to its focus on both certain and uncertain data. In this paper, the approach of neutrosophic truncation, and truncat

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6

Smarandache. "Extended Nonstandard Neutrosophic Logic, Set, and Probability Based on Extended Nonstandard Analysis." Symmetry 11, no. 4 (2019): 515. http://dx.doi.org/10.3390/sym11040515.

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We extend for the second time the nonstandard analysis by adding the left monad closed to the right, and right monad closed to the left, while besides the pierced binad (we introduced in 1998) we add now the unpierced binad—all these in order to close the newly extended nonstandard space under nonstandard addition, nonstandard subtraction, nonstandard multiplication, nonstandard division, and nonstandard power operations. Then, we extend the Nonstandard Neutrosophic Logic, Nonstandard Neutrosophic Set, and Nonstandard Probability on this Extended Nonstandard Analysis space, and we prove that i

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7

Carlos, Granados, Osu Bright O. та Das Birojit. "Neutrosophic Y-Cesàro summability of a sequence of order α, of neutrosophic random variables in probability". Annals of the University of Craiova Mathematics and Computer Science Series 50, № 2 (2023): 362–70. http://dx.doi.org/10.52846/ami.v50i2.1718.

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In this paper, we define the notions of neutrosophic $ \mathfrak{Y} $-Ces\`aro summability of a sequence of order $ \alpha $, neutrosophic $ \mathfrak{Y} $-lacunary statistical convergence of order $ \alpha $, neutrosophic strongly $ \mathfrak{Y} $-lacunary statistical convergence of order $ \alpha $ and neutrosophic strongly $ \mathfrak{Y} $-Ces\`aro summability of order $ \alpha $ in neutrosophic probability. Besides, we prove some relations among them.

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8

Nicolescu, Adrian, and Mirela Teodorescu. "A Unifying Field in Logics - Book Review." International Letters of Social and Humanistic Sciences 43 (November 2014): 48–59. http://dx.doi.org/10.18052/www.scipress.com/ilshs.43.48.

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Paradoxism is an avant-garde movement in literature, art, philosophy, science, based on excessive use of antitheses, antinomies, contradictions, parables, odds, paradoxes in creations. It was set up and led by the writer Florentin Smarandache since 1980's, who said: "The goal is to enlargement of the artistic sphere through non-artistic elements. But especially the counter-time, counter-sense creation. Also, to experiment." Paradoxism = paradox + ism, means the theory and school of using paradoxes in literary, artistic, philosophical, scientific creations. "Paradoxism started as an anti-totali

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Boloș, Marcel-Ioan, Ioana-Alexandra Bradea, and Camelia Delcea. "Neutrosophic Portfolios of Financial Assets. Minimizing the Risk of Neutrosophic Portfolios." Mathematics 7, no. 11 (2019): 1046. http://dx.doi.org/10.3390/math7111046.

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This paper studies the problem of neutrosophic portfolios of financial assets as part of the modern portfolio theory. Neutrosophic portfolios comprise those categories of portfolios made up of financial assets for which the neutrosophic return, risk and covariance can be determined and which provide concomitant information regarding the probability of achieving the neutrosophic return, both at each financial asset and portfolio level and also information on the probability of manifestation of the neutrosophic risk. Neutrosophic portfolios are characterized by two fundamental performance indica

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10

Jdid, Maissam, and A. Salama. "Using the Inverse Transformation Method to Generate Random Variables that follow the Neutrosophic Uniform Probability Distribution." Journal of Neutrosophic and Fuzzy Systems 6, no. 2 (2023): 15–22. http://dx.doi.org/10.54216/jnfs.060202.

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When conducting the simulation process for any of the systems according to classical logic, we start by generating random numbers belonging to the regular probability distribution on the field [0, 1] using one of the known methods, and then we convert these random numbers into random variables that follow the probability distribution that the system to be simulated works with, the simulation process that we perform it gives specific results that do not take into account the changes that may occur in the work environment of the system, to obtain more accurate results In a previous research, we

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Books on the topic "Neutrosophic Probability"

1

Smarandache, Florentin. Neutrosophy: Neutrosophic probability, set, and logic : analytic synthesis & synthetic analysis. American Research Press, 1998.

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2

A Unifying Field in Logics: Neutrosophic Logic, Neutrosophy, Neutrosophic Set, Neutrosophic Probability. [Rehoboth, NM] : Xiquan Publishing House, 2004.

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3

Smarandache, Florentin. A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability (third edition). American Research Press, 2003.

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4

Proceedings of the First International Conference on Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics. American Research Press, 2002.

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5

Smarandache, Florentin, and Yanhui Guo. New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic Plithogenic Optimizations. Mdpi AG, 2022.

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6

New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic & Plithogenic Optimizations. MDPI, 2022. http://dx.doi.org/10.3390/books978-3-0365-2954-7.

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7

Smarandache, Florentin. A Unifying Field in Logics: Neutrosophic Logic. Neutrosphy, Neutrosophic Set, Neutrosophic Probability (in Chinese translation by Feng Liu). Xiquan, 2003.

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8

New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications. MDPI, 2019. http://dx.doi.org/10.3390/books978-3-03921-939-1.

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Book chapters on the topic "Neutrosophic Probability"

1

Smarandache, Florentin. "Introduction to Neutrosophy, Neutrosophic Set, Neutrosophic Probability, Neutrosophic Statistics and Their Applications to Decision Making." In Studies in Fuzziness and Soft Computing. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-78505-4_1.

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2

Sherwani, Rehan Ahmad Khan, Muhammad Aslam, Muhammad Ali Raza, Muhammad Farooq, Muhammad Abid, and Muhammad Tahir. "Neutrosophic Normal Probability Distribution—A Spine of Parametric Neutrosophic Statistical Tests: Properties and Applications." In Neutrosophic Operational Research. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-57197-9_8.

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3

Smarandache, Florentin, and Madeleine Al-Tahan. "NeutroAlgebra and AntiAlgebra Are Generalizations of Classical Algebras." In Advances in Computer and Electrical Engineering. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-6684-3495-6.ch001.

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Neutrosophy as a branch of philosophy has many applications in almost every field of science. It studies neutralities, which are found in almost every real-life problem. This chapter is a review of reproduction of the evolution from the foundation of paradoxism (1980s), then of neutrosophy (1995) and its derivatives (neutrosophic set/logic/probability/statistics), then neutrosophic algebraic structures (2003), and ending with the NeutroAlgebra and AntiAlgebra (2019) as well as the NeutroGeometry and AntiGeometry (2021) of the previous work.

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4

Ebbs, Geoff Brian, Louis Sanzogni, and Luke Houghton. "Correlating Resonance." 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.ch011.

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The complex problems facing the world today resist solutions. The reasons are the complex, multidisciplinary, interdependent variables, and the non-optimal behaviour of stakeholders that lead to unsolvable “wicked” problems. Analysis of these complex situations requires methodologies that can deal with this complex, incomplete, and inconsistent data. Neutrosophy has evolved specifically to deal with the indeterminate nature of such data. Some researchers have considered both configurational analysis and neutrosophy. Neutrosophy examines the neutralities and the interplays between opposites whe

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5

Shan-E-Fatima, Hina Khan, and Kanwal Javid. "A Proposed Neutrosophic Probability Model for Normalized DifferenceVegetation Index Using Remote Sensing." 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.ch008.

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In this research work, a new neutrosophic probability model named a neutrosophic Topp-Leone exponentiated generalized exponential distribution is proposed to model the normalized difference vegetation index (NDVI) of Pakistan in the year 2022. The MODIS was used in this research, which gave spatial and spectral information on NDVI in the Earth. NDVI maps were produced from the acquired data, and NDVI sensors computed the normalized difference vegetation index. Mathematical characteristics of the proposed model of NDVI are derived, including central tendency measures, dispersion estimators, inf

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Fatima, Shan E., Hina Khan, and Kanwal Javaid. "A Proposed Neutrosophic Probability Model for Normalized DifferenceVegetation Index Using Remote Sensing." In Advances in Chemical and Materials Engineering. IGI Global, 2024. https://doi.org/10.4018/979-8-3693-3204-7.ch013.

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In this research work, a new neutrosophic probability model named a neutrosophic Topp-Leone exponentiated generalized exponential distribution is proposed to model the normalized difference vegetation index (NDVI) of Pakistan in the year 2022. The MODIS-Merra-2 satellite was used in this research, which gave spatial and spectral information on NDVI in the Earth. NDVI maps were produced from the acquired data, and NDVI sensors computed the normalized difference vegetation index. Mathematical characteristics of the proposed model of NDVI are derived, including central tendency measures, dispersi

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7

Smarandache, Florentin. "Introduction and advances to neutrosophic probability and statistics and plithogenic probability and statistics and their applications in bioinformatics and other fields (review chapter)." In Cognitive Intelligence with Neutrosophic Statistics in Bioinformatics. Elsevier, 2023. http://dx.doi.org/10.1016/b978-0-323-99456-9.00013-1.

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8

Anand, M. Clement Joe, V. A. Anjana, Manokamana Agarwal, Utpal Saikia, B. Ranjitha, and Chitra Ramaprakash. "Enhancing Vehicular Communication Through Neutrosophic Queueing Theory and Network Analysis-Based Traffic Signal Optimization." In Networking, Transport, and Quality of Service in Vehicular Networks. IGI Global, 2025. https://doi.org/10.4018/979-8-3693-6422-2.ch001.

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This chapter explores the integration of Neutrosophic Queuing Theory (NQT) and Neutrosophic Network Analysis (NNA) into the realm of vehicular communication at traffic signals to address the uncertainties and complexities of traffic flow, including variable arrival rates, unpredictable service times, and dynamic network conditions. Using real-world traffic data, a neutrosophic queueing model is developed to optimize traffic signal timings specifically for enhancing vehicular communication by determining key traffic parameters such as traffic intensity, the probability of crossing the signal, a

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9

Zeina, Mohamed Bisher, and Mohammad Abobala. "A novel approach of neutrosophic continuous probability distributions using AH-isometry with applications in medicine." In Cognitive Intelligence with Neutrosophic Statistics in Bioinformatics. Elsevier, 2023. http://dx.doi.org/10.1016/b978-0-323-99456-9.00014-3.

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Conference papers on the topic "Neutrosophic Probability"

1

Bhutani, Kanika, Megha Kumar, and Swati Aggarwal. "Multi-attribute data classification using Neutrosophic probability." In 2015 Annual IEEE India Conference (INDICON). IEEE, 2015. http://dx.doi.org/10.1109/indicon.2015.7443599.

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