Submit Your Paper
  1. Home
  2. Journals
  3. International Journal of Neutrosophic Science

International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

Submit Your Paper

2690-6805ISSN (Online) 2692-6148ISSN (Print)
Submit Your Paper

Journal Menu

Homepage Journal Overview Editorial Board Submitting Articles Indexing & Abstracting

Journal Volumes

International Journal of Neutrosophic Science

Volume 24 , Issue 3 , PP: 102-114, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

The Mathematical Formulas for Inverting Plithogenic Matrices of Special Orders Between 20 and 24

Ahmad A.Abubaker 1 , Wael M. Mohammad Salameh 2 * , Heba Alrawashdeh 3 , Amani Shatarah 4 , Norah Mousa Alrayes 5 , Abdallah Al-Husban 6

  • 1 Faculty of Computer Studies, Arab Open University, Riyadh 11681, Saudi Arabia - (a.abubaker@arabou.edu.sa)
  • 2 Faculty of Information Technology, Abu Dhabi university, Abu Dhabi, UAE - (wael.salameh@adu.ac.ae)
  • 3 Faculty of Computer Information Systems, the University of Jordan, Aqaba, Jordan - (hsrawashdeh@yahoo.com)
  • 4 Department of mathematics, college of science, Taibah university, Al-Madinah, Saudi Arabia - (ashatarah@taibahu.edu.sa)
  • 5 Department of mathematics, college of science, Taibah university, Al-Madinah, Saudi Arabia - (nrees@taibahu.edu.sa)
  • 6 Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan - (dralhosban@inu.edu.jo)

    • Doi: https://doi.org/10.54216/IJNS.240309

    Received: December 14, 2023 Revised: February 12, 2024 Accepted: May 09, 2024
    Abstract

    This paper is dedicated to study the Invertibility properties of all plithogenic square matrices of high orders between 20 and 24, where we present the mathematical conditions and formulas for computing the inverses of all plithogenic square matrices with real plithogenic entries. This goal will be completed by proving many theorems that describe the Invertibility of all classic matrix parts of the corresponding symbolic m-plithogenic matrix.

    Keywords :

    20-plithogenic matrix , invertible plithogenic matrix , plithogenic determinant.

    References

    [1] Merkepci, H., and Abobala, M., " On The Symbolic 2-Plithogenic Rings", International Journal of Neutrosophic Science, 2023.

    [2] Smarandache, F., " Introduction to the Symbolic Plithogenic Algebraic Structures (revisited)", Neutrosophic Sets and Systems, vol. 53, 2023.

    [3] Taffach, N., and Ben Othman, K., " An Introduction to Symbolic 2-Plithogenic Modules Over Symbolic 2-Plithogenic Rings", Neutrosophic Sets and Systems, Vol 54, 2023.

    [4] Albasheer, O., Hajjari., A., and Dalla., R., " On The Symbolic 3-Plithogenic Rings and TheirAlgebraic Properties", Neutrosophic Sets and Systems, Vol 54, 2023.

    [5] Ben Othman, K., "On Some Algorithms For Solving Symbolic 3-Plithogenic Equations", Neoma Journal Of Mathematics and Computer Science, 2023.

    [6] Rawashdeh, A., "An Introduction To The Symbolic 3-plithogenic Number Theory", Neoma Journal Of Mathematics and Computer Science, 2023.

    [7] Hazaymeh, Ayman. "Time Effective Fuzzy Soft Set and Its Some Applications with and Without a Neutrosophic." International Journal of Neutrosophic Science 23.2 (2023): 129-29.

    [8] Merkepci, H., "On Novel Results about the Algebraic Properties of Symbolic 3-Plithogenic and 4-Plithogenic Real Square Matrices", Symmetry, MDPI, 2023.

    [9] Soueycatt, M., Charchekhandra, B., Abu Hakmeh, R., " On The Algebraic Properties Of Symbolic 6-Plithogenic Integers", Neutrosophic Sets and Systems, vol. 59, 2023.

    [10] Ben Othman, K., Von Shtawzen, O., Khaldi, A., and Ali, R., "On The Concept Of Symbolic 7-Plithogenic Real Matrices", Pure Mathematics For Theoretical Computer Science, Vol.1, 2023.

    [11] Ben Othman, K., Von Shtawzen, O., Khaldi, A., and Ali, R., "On The Symbolic 8-Plithogenic Matrices", Pure Mathematics For Theoretical Computer Science, Vol.1, 2023.

    [12] Merkepci, M., and Abobala, M., " On Some Novel Results About Split-Complex Numbers, The Diagonalization Problem And Applications To Public Key Asymmetric Cryptography", Journal of Mathematics, Hindawi, 2023.

    [13] Abobala, M., Hatip, A., and Bal, M., " A Review On Recent Advantages In Algebraic Theory Of Neutrosophic Matrices", International Journal of Neutrosophic Science, Vol.17, 2021.

    [14] Abobala, M., Ziena, M.B., Doewes, R.I., Hussein, Z. The Representation of Refined Neutrosophic Matrices By Refined Neutrosophic Linear Functions, International Journal of Neutrosophic Science, 2022, 19(1), pp. 342–349

    [15] Abobala, M., On Refined Neutrosophic Matrices and Their Applications In Refined Neutrosophic Algebraic Equations, Journal Of Mathematics, Hindawi, 2021

    [16] Olgun, N., Hatip, A., Bal, M., and Abobala, M., " A Novel Approach To Necessary and Sufficient Conditions For The Diagonalization of Refined Neutrosophic Matrices", International Journal of neutrosophic Science, Vol. 16, pp. 72-79, 2021.

    [17] Soueycatt, M., Charchekhandra, B., Abu Hakmeh, R., " On The Foundations Of Symbolic 5-Plithogenic Number Theory", Neutrosophic Sets and Systems, vol. 59, 2023.

    [18] Merkepci, H., and Rawashdeh, A., " On The Symbolic 2-Plithogenic Number Theory and Integers ", Neutrosophic Sets and Systems, Vol 54, 2023.

    [19] avier Gamboa-Cruzado, Renatto Oyague Guerra, Enrique Condor Tinoco, Guillermo Paucar-Carlos, Juan Gamarra Moreno, Warshine Barry. (2024). A Study of the 16-Plithogenic and 17-Plithogenic Square Real Matrices and Their Properties. Journal of International Journal of Neutrosophic Science, 23 ( 3 ), 63-76 (Doi   :  https://doi.org/10.54216/IJNS.230306).

    [20] Smarandache F., and Abobala, M.,  "n-Refined Neutrosophic Vector Spaces", International Journal of Neutrosophic Science, Vol. 7, pp. 47-54. 2020.

    [21] Abobala, M.,. "A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces", International Journal of Neutrosophic Science", Vol. 9, pp.74-85. 2020.

    [22] Abobala, M., "On The Characterization of Maximal and Minimal Ideals In Several Neutrosophic Rings", Neutrosophic Sets and Systems, Vol. 45, 2021.

    [23] Nader Mahmoud Taffach , Ahmed Hatip., "A Review on Symbolic 2-Plithogenic Algebraic Structures " Galoitica Journal Of Mathematical Structures and Applications, Vol.5, 2023.

    [24] Hatamleh, R., Zolotarev, V. A. (2014). On Two-Dimensional Model Representations of One Class of Commuting Operators. Ukrainian Mathematical Journal, 66(1), 122–144. https://doi.org/10.1007/s11253-014-0916-9

    [25] Abobala, M., "Neutrosophic Real Inner Product Spaces", Neutrosophic Sets and Systems, Vol. 43, 2021.

    [26] P. Prabakaran, Bilal Abdallah, Turayeva Dinara Tulkunovna. (2024). On Certain Algebraic Properties of Symbolic 3-Plithogenic Real Square Matrices. International Journal of Neutrosophic Science, 23 ( 4 ), 350-357 (Doi   :  https://doi.org/10.54216/IJNS.230427).

    [27] Necati Olgun. (2023). On The 15-Plithogenic Square Real Matrices. Galoitica: Journal of Mathematical Structures and Applications, 9 ( 2 ), 41-48 (Doi   :  https://doi.org/10.54216/GJMSA.090205).

    [28] Noor Edin Rabeh, Othman Al-Basheer, Sara Sawalmeh, Rozina Ali. (2023). An Algebraic Approach to n-Plithogenic Square Matrices For 18≤ n ≤19. Journal of Neutrosophic and Fuzzy Systems, 7 ( 2 ), 08-23 (Doi   :  https://doi.org/10.54216/JNFS.070201).

    [29] Isra Al-Shbeil, Wael Mahmoud M. Salameh, Hossam Almahasneh, Khalid Kaabneh, Mutaz Shatnawi, Khaled Al-Husban. (2024). Algorithms for Computing M-Plithogenic Eigen Values and Vectors for Some Special Values of M. International journal of neutrosophic science , 24 ( 1 ), 128-135 (Doi:  https://doi.org/10.54216/IJNS.240112

    [30] Mayada Abualhomos, Ahmed Atallah Alsaraireh, Malik Bataineh, Nabeela Abu-Alkishik, Isra Al-Shbeil, Abdallah Al-Husban. (2024). On The Real Inner Products and Orthogonality for Plithogenic Vector Spaces of Orders 4 and 5. International journal of neutrosophic science , 24 ( 1 ), 94-103 (Doi   :  https://doi.org/10.54216/IJNS.240109)

    Cite This Article As :
    A.Abubaker, Ahmad. , M., Wael. , Alrawashdeh, Heba. , Shatarah, Amani. , Mousa, Norah. , Al-Husban, Abdallah. The Mathematical Formulas for Inverting Plithogenic Matrices of Special Orders Between 20 and 24. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 102-114. DOI: https://doi.org/10.54216/IJNS.240309
    A.Abubaker, A. M., W. Alrawashdeh, H. Shatarah, A. Mousa, N. Al-Husban, A. (2024). The Mathematical Formulas for Inverting Plithogenic Matrices of Special Orders Between 20 and 24. International Journal of Neutrosophic Science, (), 102-114. DOI: https://doi.org/10.54216/IJNS.240309
    A.Abubaker, Ahmad. M., Wael. Alrawashdeh, Heba. Shatarah, Amani. Mousa, Norah. Al-Husban, Abdallah. The Mathematical Formulas for Inverting Plithogenic Matrices of Special Orders Between 20 and 24. International Journal of Neutrosophic Science , no. (2024): 102-114. DOI: https://doi.org/10.54216/IJNS.240309
    A.Abubaker, A. , M., W. , Alrawashdeh, H. , Shatarah, A. , Mousa, N. , Al-Husban, A. (2024) . The Mathematical Formulas for Inverting Plithogenic Matrices of Special Orders Between 20 and 24. International Journal of Neutrosophic Science , () , 102-114 . DOI: https://doi.org/10.54216/IJNS.240309
    A.Abubaker A. , M. W. , Alrawashdeh H. , Shatarah A. , Mousa N. , Al-Husban A. [2024]. The Mathematical Formulas for Inverting Plithogenic Matrices of Special Orders Between 20 and 24. International Journal of Neutrosophic Science. (): 102-114. DOI: https://doi.org/10.54216/IJNS.240309
    A.Abubaker, A. M., W. Alrawashdeh, H. Shatarah, A. Mousa, N. Al-Husban, A. "The Mathematical Formulas for Inverting Plithogenic Matrices of Special Orders Between 20 and 24," International Journal of Neutrosophic Science, vol. , no. , pp. 102-114, 2024. DOI: https://doi.org/10.54216/IJNS.240309

    Article Statistics

    View
    622
    Download
    284

    Download