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Relevant bibliographies by topics / Plithogenic number

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Academic literature on the topic 'Plithogenic number'

Author: Grafiati

Published: 4 June 2025

Last updated: 1 August 2025

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Journal articles on the topic "Plithogenic number"

1

Zambrano, Luis Albarracín, Fabricio Lozada Torres, Bolívar Villalta Jadan, and Nabil Khuder Salman. "On Symbolic 7-Plithogenic and 8-Plithogenic Number Theoretical Concepts." International Journal of Neutrosophic Science 22, no. 4 (2023): 44–55. http://dx.doi.org/10.54216/ijns.220404.

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This paper is dedicated to studying the foundations of 7-plithogenic and 8-plithogenic number theory, where the central concepts about symbolic 7-plithogenic8-plithogenic integers will be discussed such as symbolic 7-plithogenic8-plithogenic Pythagoras triples and quadruples, symbolic 7-plithogenic8-plithogenic linear Diophantine equations, and the divisors. On the other hand, we prove that Euler's theorem is still true in the case of the symbolic 7-plithogenic8-pithogenic number theory.

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2

Bharathi, T., S. Leo, and B. Davvaz. "Domination in Plithogenic product fuzzy graphs." Journal of Applied Mathematics, Statistics and Informatics 19, no. 2 (2023): 5–22. http://dx.doi.org/10.2478/jamsi-2023-0007.

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Abstract The notion of Plithogenic vertex domination and Plithogenic edge domination in Plithogenic product fuzzy graphs (PPFGs) has been newly introduced and discussed based on P-weights of P-vertices and P-edges respectively with properties, results and examples. Plithogenic vertex domination number and Plithogenic edge domination number for a Plithogenic product fuzzy graph (PPFG), and the bounds and algorithms for and the maximum and minimum values and algorithms for the same are also investigatedthe same are also investigated. Perfect Plithogenic vertex domination and perfect Plithogenic

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3

Alhasan, Yaser Ahmad. "The Extended Study of the 2-symbolic Plithogenic Numbers." Plithogenic Logic and Computation 2 (August 17, 2024): 37–48. http://dx.doi.org/10.61356/j.plc.2024.2360.

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In this paper, we presented the extended study of the 2-symbolic plithogenic numbers, where we studied the square root of a 2-symbolic plithogenic real number and 2-symbolic plithogenic real polynomial. In addition, this paper is considered a generalization of the result that was presented in On the Refined AH-Isometry, which it presented one solution for the square root of the 2-symbolic plithogenic real numbers, but we discussed all possible solutions when solving 2-symbolic plithogenic equation.

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4

Merkepci, Hamiyet, and Ammar Rawashdeh. "On The Symbolic 2-Plithogenic Number Theory and Integers." Neutrosophic Sets and Systems 54 (April 11, 2023): 113–23. https://doi.org/10.5281/zenodo.7817721.

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The objective of this paper is to study for the first time the foundational concepts of number theory in 2-plithogenic rings of integers, where concepts such as symbolic 2-plithogenic congruencies, division, semi primes, and greatest common divisors. In addition, many elementary properties will be discussed in details through many theorems and examples.

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5

S. Anitha and A. Francina Shalini. "Similarity Measure of Plithogenic Cubic Vague Sets: Examples and Possibilities." Neutrosophic Systems with Applications 11 (October 21, 2023): 39–47. http://dx.doi.org/10.61356/j.nswa.2023.81.

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The crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets are the extension of the plithogenic set, in which elements are characterized by the number of attributes and each attribute can assume many values. To achieve more accuracy and precise exclusion, a contradiction or dissimilarity degree is specified between each attribute and the values of the dominating attribute. A plithogenic cubic vague set is a combination of a plithogenic cubic set and a vague set. The key tool for resolving problems with pattern recognition and clustering analysis is the similarity measure. In this research,

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6

Taffach, Nader Mahmoud, and Ahmed Hatip. "A Brief Review on The Symbolic 2-Plithogenic Number Theory and Algebraic Equations." Galoitica: Journal of Mathematical Structures and Applications 5, no. 1 (2023): 36–44. http://dx.doi.org/10.54216/gjmsa.050103.

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The main goal of this paper is to review the concepts of symbolic 2-plithogenic number theoretical concepts and algebraic equations, where many foundational concepts such as congruencies and linear equations and Diophantine linear equations.

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7

Wang, Peiwen, Yan Lin, and Zhiping Wang. "An Integrated Decision-Making Model Based on Plithogenic-Neutrosophic Rough Number for Sustainable Financing Enterprise Selection." Sustainability 14, no. 19 (2022): 12473. http://dx.doi.org/10.3390/su141912473.

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Due to the continuous improvement of people’s awareness of sustainable development, sustainable financing enterprise selection (SFES) has gradually become a hotspot in the field of multi-criteria group decision-making (MCGDM). In the environment of increasing risk factors, how to accurately and objectively select the optimal enterprise for financing is still pending. Thus, this paper proposes an integrated plithogenic-neutrosophic rough number (P-NRN) information aggregation decision model. The model is adapted to group decision-making by taking advantages of plithogenic set operations in hand

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8

Alhasan, Yaser Ahmad, Abuobida Mohammed A. Alfahal, Raja Abdullah Abdulfatah, Rozina Ali, and Mayas Aljibawi. "On a Novel Security Algorithm for the Encryption of 3×3 Fuzzy Matrices with Rational Entries Based on The Symbolic 2-Plithogenic Integers and El-Gamal Algorithm." International Journal of Neutrosophic Science 20, no. 1 (2023): 88–95. http://dx.doi.org/10.54216/ijns.210108.

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Mathematical cryptography applies special properties of integers and number theory in encrypting and decrypting messages in our world which is increasingly in demand for information security, especially for social media and multimedia. The objective of this work is to generalize El-Gamal crypto algorithm to be applied by using symbolic 2-plithogenic integers instead of classical integers. Also, we apply the novel algorithm to the encryption and the decryption of square fuzzy matrices with rational entries, and fuzzy relations which can be represented as fuzzy matrices with rational entries. In

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9

Ahmad, Muhammad Rayees, Muhammad Saeed, Usman Afzal, and Miin-Shen Yang. "A Novel MCDM Method Based on Plithogenic Hypersoft Sets under Fuzzy Neutrosophic Environment." Symmetry 12, no. 11 (2020): 1855. http://dx.doi.org/10.3390/sym12111855.

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In this paper, we advance the study of plithogenic hypersoft set (PHSS). We present four classifications of PHSS that are based on the number of attributes chosen for application and the nature of alternatives or that of attribute value degree of appurtenance. These four PHSS classifications cover most of the fuzzy and neutrosophic cases that can have neutrosophic applications in symmetry. We also make explanations with an illustrative example for demonstrating these four classifications. We then propose a novel multi-criteria decision making (MCDM) method that is based on PHSS, as an extensio

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10

Abdelfattah, Walid. "Variables Selection Procedure for the DEA Overall Efficiency Assessment Based Plithogenic Sets and Mathematical Programming." International Journal of Scientific Research and Management 10, no. 05 (2022): 397–409. http://dx.doi.org/10.18535/ijsrm/v10i5.m01.

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The appropriate selection of inputs and outputs also their count is a crucial step to achieve relevant results for any study involving the measurement of a set of decision-making units’ overall efficiency using the data envelopment analysis methodology. In the literature, however, there is still no definitive standard to guide this selection. This article offers a novel two-phase procedure allowing, by solving an integer non-linear program in the first phase, to determine the most suitable number of both inputs and outputs to be used. And then, by following a developed plithogenic multi-criter

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Book chapters on the topic "Plithogenic number"

1

Aslam, Muhammad, Muhammad Azam, Liaquat Ahmad, and Florentin Smarandache. "Product acceptance determination using repetitive sampling based on process loss consideration under neutrosophic numbers." In Optimization Theory Based on Neutrosophic and Plithogenic Sets. Elsevier, 2020. http://dx.doi.org/10.1016/b978-0-12-819670-0.00003-2.

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Jana, Chiranjibe, and Faruk Karaaslan. "Dice and Jaccard similarity measures based on expected intervals of trapezoidal neutrosophic fuzzy numbers and their applications in multicriteria decision making." In Optimization Theory Based on Neutrosophic and Plithogenic Sets. Elsevier, 2020. http://dx.doi.org/10.1016/b978-0-12-819670-0.00012-3.

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