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Journal articles on the topic 'Neutrosophic Probability'

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Published: 2 June 2025
Last updated: 31 July 2025

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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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9

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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11

Sert, Eser, and Ahmet Alkan. "Image Edge Detection Based on Neutrosophic Set Approach Combined with Chan–Vese Algorithm." International Journal of Pattern Recognition and Artificial Intelligence 33, no. 03 (2019): 1954008. http://dx.doi.org/10.1142/s0218001419540089.

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Since edge detection is a field of study used by various disciplines, it is of vital importance to calculate it accuretly. In addition, an edge detection algorithm may be involved in many image processing phases. A recent and contemporary approach, neutrosophy is based on neutrosophic logic, neutrosophic probability, neutrosophic set and neutrosophic statistics. This method yields better results compared to various other optimization methods. Neutrosophic Set (NS) is based on the origin, nature and scope of neutralities. In NS, problems are separated into true, false and indeterminacy subsets.
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12

Ye, Jun. "Multiple-Attribute Group Decision-Making Method under a Neutrosophic Number Environment." Journal of Intelligent Systems 25, no. 3 (2016): 377–86. http://dx.doi.org/10.1515/jisys-2014-0149.

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AbstractAs a neutrosophic number, which consists of a determinate part and an indeterminate part, can more easily and better express incomplete and indeterminate information that exists commonly in real situations, the main purposes of this paper are to provide a neutrosophic number tool for group decision-making problems with indeterminate information under a neutrosophic number environment and to develop a de-neutrosophication method and a possibility degree ranking method for neutrosophic numbers from the probability viewpoint as a methodological support for group decision-making problems.
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13

Shah, Faisal, Muhammad Aslam, Zahid Khan, Mohammed M. A. Almazah, and Fuad S. Alduais. "On Neutrosophic Extension of the Maxwell Model: Properties and Applications." Journal of Function Spaces 2022 (February 16, 2022): 1–9. http://dx.doi.org/10.1155/2022/4536260.

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This work presents the neutrosophic Maxwell distribution (NMD) as a novel probability distribution. The proposed model represents a generalized design of Maxwell distribution that provides more analytical flexibility for data, including all imprecise observations or some degree of vagueness within the dataset. Important reliability characteristics and distributional properties of NMD are developed under the notion of neutrosophy. The neutrosophic forms of some commonly used functions in applied statistics such as mean, variance, moment generating function, and shape coefficients are explored.
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14

Hanafy, I. M., A. A. Salama, O. M. Khaled, and K. M. Mahfouz. "Correlation of Neutrosophic Sets in Probability Spaces." Journal of Applied Mathematics, Statistics and Informatics 10, no. 1 (2014): 45–52. http://dx.doi.org/10.2478/jamsi-2014-0004.

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Abstract In this paper, we introduce and study the concepts of correlation and correlation coefficient of neutrosophic data in probability spaces. In the case of finite spaces, these results give the results due to Salama et al. [16, 17, 18] and study some of their properties.
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15

Abu-Saleem, M. "A neutrosophic folding and retraction on a single-valued neutrosophic graph." Journal of Intelligent & Fuzzy Systems 40, no. 3 (2021): 5207–13. http://dx.doi.org/10.3233/jifs-201957.

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The main aim of this article is to present neutrosophic folding and neutrosophic retractions on a single-valued neutrosophic graph Ğ from the viewpoint of geometry and topology. For this reason, we use a sequence of neutrosophic transformations on Ğ to obtain a new single-valued neutrosophic graph G ˇ 1 which contains different parameters under new conditions. We deduce the isometric neutrosophic folding on neutrosophic spheres and neutrosophic torii. Also, we determine the relationship between the limit neutrosophic folding and the limit of neutrosophic retraction on Ğ. Theorems regulating th
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16

Şahin, Memet, and Arif Sarıoğlan. "Neutrosophic Quadruple Metric Spaces." Symmetry 17, no. 7 (2025): 1096. https://doi.org/10.3390/sym17071096.

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Instead of measuring the distance between two points with a positive real number, determining the degree to which the distance between these two points is close, not close, or uncertain allows for more detailed measurement. Recently, researchers have overcome this grading problem by using probability distribution functions, along with fuzzy, intuitionistic fuzzy, and neutrosophic sets. This study pioneers neutrosophic quadruple metric spaces as a powerful new tool for quantifying distances under complex, multi-dimensional uncertainty. It provides a comprehensive mathematical structure, includi
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17

Ibrahim, Ahmedia Musa M., and Zahid Khan. "Neutrosophic Laplace Distribution with Properties and Applications in Decision Making." International Journal of Neutrosophic Science 23, no. 1 (2024): 73–84. http://dx.doi.org/10.54216/ijns.230106.

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This paper introduces the concept of the neutrosophic Laplace distribution ( ), a probability distribution derived from the Laplace distribution. The offers a versatile framework for describing various real-world problems. We highlight the neutrosophic extension of the Laplace distribution and explore its applications in different areas. Extensive investigations into the mathematical properties of the distribution are presented, including the derivation of its probability density function, mean, variance, raw moment, skewness, and kurtosis. To estimate the parameters of the , we employ the met
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18

Hari, Shankar, Ahmad Ayaz, and Esi Ayhan. "A study of triple sequences statistical convergence in neutrosophic normed spaces." Annals of the University of Craiova Mathematics and Computer Science Series 51, no. 2 (2024): 303–14. https://doi.org/10.52846/ami.v51i2.1798.

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Neutrosophic logic, probability, and sets are all included in this discipline. A generalisation of conventional sets, fuzzy sets, intuitionistic fuzzy sets, and other related ideas is the neutrosophic set theory. It is a mathematical concept that deals with situations involving inconsistent, ambiguous, and imprecise data. To fully understand sequence spaces, statistical convergence is a crucial concept. In this particular scientific work, we introduce the notion of statistical convergence for triple sequences in a neutrosophic normed space. In this neutrosophic normed space, we also explore th
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19

Muhiuddin, G. "p-ideals of BCI-algebras based on neutrosophic N -structures." Journal of Intelligent & Fuzzy Systems 40, no. 1 (2021): 1097–105. http://dx.doi.org/10.3233/jifs-201309.

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In this paper, neutrosophic N -structures are applied to p-ideals of BCI-algebras. In fact, we introduce the notion of neutrosophic N -p-ideal in BCI-algebras, and investigate several properties. Further, we present characterizations of neutrosophic N -p-ideal. Moreover, we consider relations between a neutrosophic N -ideal and a neutrosophic N -p-ideal. Also, we provide conditions for a neutrosophic N -ideal to be a neutrosophic N -p-ideal. Furthermore, it is proved that the neutrosophic N -structure Q N G over Q is a neutrosophic N p -ideal of Q ⇔ G is a p-ideal of Q where G is a non-empty s
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20

Muthuraj, R., K. Nachammal, M. Jeyaraman, and D. Poovaragavan. "Convergence of the Jordan Neutrosophic Ideal in Neutrosophic Normed Spaces." Mathematics and Statistics 11, no. 5 (2023): 845–55. http://dx.doi.org/10.13189/ms.2023.110512.

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21

Mehmood, Arif, Samer Al Ghour, Muhammad Ishfaq, and Farkhanda Afzal. "A look at soft neutrosophic spaces." Journal of Intelligent & Fuzzy Systems 41, no. 6 (2021): 6473–94. http://dx.doi.org/10.3233/jifs-210306.

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In this article, new definition of neutrosophic soft ** b-open set is introduced with the help of neutrosophic soft α-open set and neutrosophic soft β-open set. With the application of this new definition some neutrosophic soft separation axioms and neutrosophic soft other separation axioms are addressed with respect to soft points of the spaces. Suitable examples are provided for the clarification of different results. Soft countability results and its engagements with different other neutrosophic soft results are studied. In continuation, characterization of Bolzano Weirstrass Property with
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22

Khan, Vakeel A., Ayhan Esi, Mobeen Ahmad, and Mohammad Daud Khan. "Continuous and bounded linear operators in neutrosophic normed spaces." Journal of Intelligent & Fuzzy Systems 40, no. 6 (2021): 11063–70. http://dx.doi.org/10.3233/jifs-202189.

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In this article, we show that the addition and scalar multiplication in neutrosophic normed spaces are continuous. The neutrosophic boundedness and continuity of linear operators between neutrosophic normed spaces are examined. Moreover, we analyzed that the set of all neutrosophic continuous linear operators and the set of all neutrosophic bounded linear operators from neutrosophic normed spaces into another are vector spaces.
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23

Ibrahim, Ibrahim, Ali Al Al-Fayadh, Hassan H. Ebrahim, and Luma S. Abdalbaqi. "Implementation of the Neutrosophic Sets in Measurable Space with Respect to Neutrosophic Ring." International Journal of Neutrosophic Science 25, no. 3 (2025): 187–93. http://dx.doi.org/10.54216/ijns.250317.

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The generalization for interval fuzzy set name as neutrosophic set employed to construct a measurable space in this work. The measurable space with respect to a ring of sets that is closed under difference and union, is studied. The objective of this study is to extend the notion of a ring of sets by using neutrosophic sets. Neutrosophic set concept has gained popularity in various fields of mathematics, probability, and other sciences due to its many uses, especially when dealing with uncertainties. Several different properties of neutrosophic ring are studied. Examples and characterizations
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24

Hemavathi, P., M. Muthumeenakshi, P. Chanthini, P. Muralikrishna, and R. Vinodkumar. "Implementation of Neutrosophic Bipolar Pentagonal Fuzzy Set on Multi-Criteria Decision-Making Scenario." International Journal of Neutrosophic Science 19, no. 4 (2022): 58–76. http://dx.doi.org/10.54216/ijns.190405.

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Several others have already discussed various types of new techniques in multi-criteria decision-making problems. De-fuzzification, De-eutrophication, and De-Bipolarisation all of these are new approaches that have been established. But this work depicts the concept and features of the Neutrosophic Bipolar Pentagonal Fuzzy number. The relationships and products of the picture fuzzy set, as well as their associated results, are investigated. The different kinds of neutrosophic single-typed bipolar pentagonal numbers (nbpnum) were also discussed. A multi-criteria choice is also done in a triangu
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25

Florentin, Smarandache. "Neutrosophic Measure and Neutrosophic Integral." January 15, 2013. https://doi.org/10.5281/zenodo.30224.

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Since the world is full of indeterminacy, the neutrosophics found their place into contemporary research. We now introduce for the first time the notions of neutrosophic measure and neutrosophic integral. Neutrosophic Science means development and applications of neutrosophic logic/set/measure/integral/ probability etc. and their applications in any field. It is possible to define the neutrosophic measure and consequently the neutrosophic integral and neutrosophic probability in many ways, because there are various types of indeterminacies, dependin
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26

ORHAN, ECEMIŞ, ŞAHIN MEMET, and KARGIN ABDULLAH. "SINGLE VALUED NEUTROSOPHIC NUMBER VALUED GENERALIZED NEUTROSOPHIC TRIPLET GROUPS AND ITS APPLICATIONS FOR DECISION MAKING APPLICATIONS." September 10, 2018. https://doi.org/10.5281/zenodo.1413893.

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Neutrosophy is a branch of philosophy. Neutrosophy is based on neutrosophic logic, neutrosophic probability and neutrosophic set. Neutrosophic triplet theory is new structure in neutrosophic set theory. In this study; we introduced notion of generalized neutrosophic triplet group. We defined contrary element for generalized neutrosophic triplet group.
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Smarandache, Florentin. "Neutrosophic Probability, Set, And Logic (first version)." July 12, 2000. https://doi.org/10.5281/zenodo.57726.

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This project is a part of a National Science Foundation interdisciplinary project proposal. Starting from a new viewpoint in philosophy, the neutrosophy, one extends the classical "probability theory", "fuzzy set" and "fuzzy logic" to <neutrosophic probability>, <neutrosophic set> and <neutrosophic logic> respectively. They are useful in artificial intelligence, neural networks, evolutionary programming, neutrosophic dynamic systems, and quantum mechanics.
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28

Lathamaheswari, M., Said Broumi, Florentin Smarandache, and S. Sudha. "Neutrosophic Perspective of Neutrosophic Probability Distributions and its Application." International Journal of Neutrosophic Science, 2021, 96–109. http://dx.doi.org/10.54216/ijns.170202.

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Neutrosophical probability is concerned with inequitable and defective topics and processes. This is a subset of Neutrosophic measures that includes a prediction of an event (as opposed to indeterminacy) as well as a prediction of some unpredictability. When there is no such thing as a non-stochastic occurrence, the Neutrosophic probability is the probability of determining a stochastic process. It is a generalisation of classical probability, which states that the probability of correctly predicting an occurrence is zero. Until now, neutrosophic probability distributions have been derived dir
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Smarandache, Florentin. "Introduction to Neutrosophic Genetics." International Journal of Neutrosophic Science, 2021, 23–27. http://dx.doi.org/10.54216/ijns.130103.

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Neutrosophic Genetics is the study of genetics using neutrosophic logic, set, probability, statistics, measurement, and other neutrosophic tools and procedures. In this paper, based on the Neutrosophic Theory of Evolution (that includes degrees of Evolution, Neutrality (or Indeterminacy), and Involution) – as an extension of Darwin’s Theory of Evolution, we show the applicability of neutrosophy in genetics, and we present within the frame of neutrosophic genetics the following concepts: neutrosophic mutation, neutrosophic speciation, and neutrosophic coevolution
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A., A. SALAMA, and SMARANDACHE FLORENTIN. "Neutrosophic Crisp Probability Theory & Decision Making Process." December 10, 2016. https://doi.org/10.5281/zenodo.200051.

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Since the world is full of indeterminacy, the neutrosophics found their place into contemporary research. In neutrosophic set, indeterminacy is quantified explicitly and truth-membership, indeterminacy-membership and falsity-membership are independent. So it is natural to adopt for that purpose the value from the selected set with highest degree of truth-membership, indeterminacy membership and least degree of falsity-membership on the decision set. These factors indicate that a decision making process takes place in neutrosophic environment. In this paper, we introduce and study the probabili
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Hashem, Bordba, Long Xin Xiao, Ali Borzooei Rajab, and Bae Jun Young. "Positive implicative ideals of BCK-algebras based on neutrosophic sets and falling shadows." February 11, 2022. https://doi.org/10.5281/zenodo.6041290.

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Neutrosophy is introduced by F. Smarandache in 1980 which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Neutrosophy considers a proposition, theory, event, concept, or entity, ”A” in relation to its opposite, ”Anti-A” and that which is not A, ”Non-A”, and that which is neither ”A” nor ”Anti-A”, denoted by ”Neut-A”. Neutrosophy is the basis of neutrosophic logic, neutrosophic probability, neutrosophic set, and neutrosophic statistics. In this article,
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32

A., A. Salama, M. Khaled O., and M. Mahfouz K. "Neutrosophic Correlation and Simple Linear Regression." July 1, 2015. https://doi.org/10.5281/zenodo.22575.

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Since the world is full of indeterminacy, the neutrosophics found their place into contemporary research. The fundamental concepts of neutrosophic set, introduced by Smarandache. Recently, Salama introduced the concept of correlation coefficient of neutrosophic data. In this paper, we introduce and study the concepts of correlation and correlation coefficient of neutrosophic data in probability spaces and study some of their properties. Also, we introduce and study the neutrosophic simple linear regression model. Possible applications to data p
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33

Takallo, M. Mohseni, R.A. Borzooei, and Young Bae Jun. "MBJ-neutrosophic structures and its applications in BCK/BCI-algebras." Neutrosophic Sets and Systems 23 (December 10, 2018). https://doi.org/10.5281/zenodo.2155212.

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Smarandache (F. Smarandache. Neutrosophy, neutrosophic probability, set, and logic, ProQuest Information & Learning, Ann Arbor, Michigan, USA, 105 p., 1998) initiated neutrosophic sets which can be used as a mathematical tool for dealing with indeterminates and inconsistent information. As a generalization of a neutrosophic set, the notion of MBJ-neutrosophic sets is introduced, and it is applied to BCK=BCI-algebras. The concept of MBJ-neutrosophic subalgebras in BCK=BCI-algebras is introduced, and related properties are investigated. A characterization of MBJ-neutrosophic subalgebra is pr
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34

Rafif, Alhabib, Amzherranna2 Moustaf, Farah3 Haitham, and Salama A.A. "Foundation of Neutrosophic Crisp Probability Theory." September 11, 2018. https://doi.org/10.5281/zenodo.1412983.

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This paper deals with the application of Neutrosophic Crisp sets (which is a generalization of Crisp sets) on the classical probability, from the construction of the Neutrosophic sample space to the Neutrosophic crisp events reaching the definition of Neutrosophic classical probability for these events.
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Florentin, Smarandache. "n-Valued Refined Neutrosophic Logic and Its Applications to Physics". 6 жовтня 2013. https://doi.org/10.5281/zenodo.49149.

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In this paper we present a short history of logics: from particular cases of 2-symbol or numerical valued logic to the general case of n-symbol or numerical valued logic. We show generalizations of 2-valued Boolean logic to fuzzy logic, also from the Kleene’s and Lukasiewicz’ 3-symbol valued logics or Belnap’s 4-symbol valued logic to the most general n-symbol or numerical valued refined neutrosophic logic. Two classes of neutrosophic norm (n-norm) and neutrosophic conorm (n-conorm) are defined. Examples of applications of neutrosophic logic to physics are listed in the last se
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36

"Quadripartitioned Neutrosophic Probability Distributions." International Journal of Neutrosophic Science 25, no. 2 (2025). http://dx.doi.org/10.54216/ijns.250229.

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37

Suman, Das, Shil Bimal, Das Rakhal, E. Khalid Huda, and A. Salama A. "Pentapartitioned Neutrosophic Probability Distributions." April 9, 2022. https://doi.org/10.5281/zenodo.6426366.

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In this manuscript, we introduce and study some pentapartitioned neutrosophic probability distributions. The study is done through the generalization of some classical probability distributions as Poisson distribution, Exponential distribution, Uniform distribution etc. This study opens the way for dealing with issues that follow the classical distributions and at the same time contains data not specified accurately.
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38

Alhabib, Rafif, Ranna Moustafa Mzher, Haitham Farah, and A. A. Salama. "Some Neutrosophic Probability Distributions." Neutrosophic Sets and Systems 22 (December 10, 2018). https://doi.org/10.5281/zenodo.2160479.

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In this paper, we introduce and study some neutrosophic probability distributions, The study is done through generalization of some classical probability distributions as Poisson distribution, Exponential distribution and Uniform distribution, this study opens the way for dealing with issues that follow the classical distributions and at the same time contain data not specified accurately.
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39

Atiqa, Siraj, Naeem Khalid, and Said Broumi. "Pythagorean m-polar Fuzzy Neutrosophic Metric Spaces." January 14, 2023. https://doi.org/10.5281/zenodo.7536088.

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Neutrosophy deals with the study of neutrosophic logic, set and probability. A Pythagorean mpolar neutrosophic set is indeed an expansion of crisp, fuzzy, intuitionistic fuzzy, neutrosophic and Pythagorean m-polar fuzzy sets. In this paper, we develop the perception of Pythagorean m-polar fuzzy neutrosophic metric space defined over Pythagorean m-polar fuzzy neutrosophic set relying on the classical definition of metric spaces defined on a crisp set. We present some related results and illustrations to perceive the conceptions. We present many examples of metrics which hold true for classical
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40

Qiang, Guo, He You, Deng Yong, Florentin Smarandache, and Wang Haipeng. "An Evidence Fusion Method with Importance Discounting Factors based on Neutrosophic Probability Analysis in DSmT Framework." October 14, 2017. https://doi.org/10.5281/zenodo.1012213.

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To obtain effective fusion results of multi source evidences with different importance, an evidence fusion method with importance discounting factors based on neutrosopic probability analysis in DSmT framework is proposed. First, the reasonable evidence sources are selected out based on the statistical analysis of the pignistic probability functions of single focal elements. Secondly, the neutrosophic probability analysis is conducted based on the similarities of the pignistic probability functions from the prior evidence knowledge of the reasonable evidence sources. Thirdly, the importance di
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41

Florentin, Smarandache. "Three Decades of Neutrosophic and Plithogenic Theories with their Applications (1995 - 2024)." September 10, 2024. https://doi.org/10.5281/zenodo.13989101.

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Zadeh introduced the degree of membership/truth (T) in 1965 and defined the fuzzy set. Atanassov introduced the degree of nonmembership/falsehood (F) in 1986 and defined the intuitionistic fuzzy set. Smarandache introduced the degree of indeterminacy/neutrality (I) as independent component in 1995 (published in 1998) and he defined the neutrosophic set on three components: (T, I, F) = (Truth, Indeterminacy, Falsehood), where in general T, I, F are subsets of the interval [0, 1]; in particular T, I, F may be intervals, hesitant sets, single-values, etc.; Indet
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42

Smarandache, Florentin. "A Unifying Field in Logics: Neutrosophic Logic. Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Set. (second version." July 12, 2000. https://doi.org/10.5281/zenodo.57658.

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The subsets T, I, F are not necessarily intervals, but may be any real subsets: discrete or continuous; single-element, finite, or (either countably or uncountably) infinite; union or intersection of various subsets; etc.
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43

Hatip, Ahmed. "AN ALGEBRAIC APPROACH FOR NEUTROSOPHIC RANDOM VARIABLES BY THE REFINED AH-ISOMETRY." Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, August 28, 2024. http://dx.doi.org/10.18038/estubtda.1350437.

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In this article, we are going to extend the definition of literal neutrosophic random variables to literal refined neutrosophic random variables and we will study its new properties. We derive and present various concepts including refined neutrosophic probability distribution function in the continuous case, refined neutrosophic cumulative distribution function of continuous refined neutrosophic random variables, refined neutrosophic expected value, refined neutrosophic variance, refined neutrosophic standard deviation, refined neutrosophic mean deviation, refined neutrosophic rth quartiles,
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44

Azzam, Mustafa Nouri, Zeitouny Omar, and Alabdallah Sadeddin. "Neutrosophic Stable Random Variables." June 29, 2022. https://doi.org/10.5281/zenodo.6774875.

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In this paper, the concept of a neutrosophic stable random variable is introduced. Two definitions of a neutrosophic random variable are presented. We introduced both the neutrosophic probability distribution function and the neutrosophic probability density function, and the convolution with the neutrosophic concept. In addition, we proved some properties of a neutrosophic stable random variable, and three examples are discussed.
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45

Faiz, Muhammad Khan, Khan Madad, and Ihsanullah. "Classification of Ordered Semigroups Through Neutrosophic Generalized bi-ideals with Applications." October 2, 2022. https://doi.org/10.5281/zenodo.7135401.

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An icebreaking theory known as neutrosophic theory opened a new direction for researchers of philosophy, logics, set theory and probability/statistics. Neutrosophy put the point base for a entire household of new mathematical speculations that summarized classical and fuzzy correspondence theories. In this article, we introduced the conception of neutrosophic fuzzy ideal theory of ordered semigroups based on belongs to relation and quasi-coincident with relation. Particularly, neutrosophic fuzzy generalized bi-ideal (resp. bi-ideal) of type (∈, ∈ ∨q) have been developed and detail
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46

Florentin, Smarandache (editor), and Ali (editor) Mumtaz. "Neutrosophic Sets and Systems, vol. 9/2015." April 5, 2015. https://doi.org/10.5281/zenodo.31824.

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47

A.A., Salama, and Elhbebib Rafif. "Neutrosophic Decision Making (Neutrosophic Decision Tree)." May 21, 2019. https://doi.org/10.5281/zenodo.3077356.

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In this research, we present neutrosophic decision-making, which is an extension of the classical decision-making process by expanding the data to cover the non-specific cases ignored by the classical logic, which in fact support the decision-making problem. The lack of information besides its inaccuracy is an important constraint affecting The effectiveness of the decision-making process, and we will rely on the decision tree model, which is one of the most powerful mathematical methods used to analyze many decisionmaking problems, where we extend it according to the neutrosophic logic by add
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48

Hatip, Ahmed. "The Special Neutrosophic Functions." April 15, 2020. https://doi.org/10.5281/zenodo.3824880.

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[1] L. Zadeh, , Fuzzy sets, Inform and Control, 8, pp. 338-353, 1965. [2] K.Atanassov, Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, pp.87-96, 1986 [3] F.Liu, XH.Yuan, Fuzzy number intuitionistic fuzzy set, Fuzzy Syst. Math, 21(1),pp.88–91, 2007. [4] H.Wang, F.Smarandache, YQ. Zhang, R. Sunderraman, Single valued neutrosophic sets. Multispace Multi-struct 4, pp.410–413, 2010. [5] F. Smarandache, Neutrosophy. Neutrosophic Logic, Set , Probability and Statistics. American Research Press, Rehoboth, 1998. International Journal of Neutrosophic Science (IJNS) Vol. 4, No. 2, PP.
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49

Smarandache, Florentin. "Indeterminacy in Neutrosophic Theories and their Applications." International Journal of Neutrosophic Science, 2021. http://dx.doi.org/10.54216/ijns.150203.

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Indeterminacy makes the main distinction between fuzzy/intuitionistic fuzzy (and other extensions of fuzzy) set/logic vs. neutrosophic set/logic, and between classical probability and neutrosophic probability. Also, between classical statistics vs. neutrosophic and plithogenic statistics, between classical algebraic structures vs. neutrosophic algebraic structures, between crisp numbers vs. neutrosophic numbers. We present a broad definition of indeterminacy, various types of indeterminacies, and many practical applications.
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50

Maissam, Jdid, and Broumi Said. "Neutrosophical Rejection and Acceptance Method for the Generation of Random Variables." July 29, 2023. https://doi.org/10.5281/zenodo.8194749.

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Simulation has become a modern-day tool that helps us study many systems that its results could not have been studied or predicted through the work of these systems over time. The simulation process depends on generating a series of random numbers that are subject to a uniform probability distribution on the field [0,1], and then converting these random numbers to random variables that follow the probability distribution in which the system to be simulated, there are several methods that can be used to carry out the conversion. In previous research, the inverse transformation method has been s
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