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International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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International Journal of Neutrosophic Science

Volume 15 , Issue 2 , PP: 113-122, 2021 | Cite this article as | XML | Html | PDF | Full Length Article

Operations on Single-Valued Trapezoidal Neutrosophic Numbers using (α,β,γ)-Cuts “Maple Package”

Mohamed Bisher Zeina 1 * , Omar Zeitouny 2 , Fatina Masri 3 , Fatima Kadoura 4 , Said Broumi 5

  • 1 Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria - (bisher.zeina@gmail.com)
  • 2 Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria - (ozeitouny70@gmail.com )
  • 3 Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria - (fatenahmasri@gmail.com)
  • 4 Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria - (fatima.sa.kadoura@gmail.com)
  • 5 Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco - (broumisaid78@gmail.com)

    • Doi: https://doi.org/10.54216/IJNS.150205

    Received: March 11, 2021 Accept: October 10, 2021
    Abstract

    In this paper we present a Maple package called Neutrosophic, which allows users to do operations on trapezoidal and triangular neutrosophic numbers including summation, subtraction, division and multiplication based on -cuts and plots the results, also the package allows users to rank numbers depending on ambiguity index and value index. This package is very useful in neutrosophic decision making problems, neutrosophic probabilities, neutrosophic statistics and in many other fields of neutrosophic researches.

    Keywords :

    Trapezoidal Neutrosophic Number, Triangular Neutrosophic Number  , -Cuts, Ambiguity Index, Value Index, Decision Making.

      ,

    References

    [1] 

    L. Zadeh, "Fuzzy Sets," Information and Control, vol. 8, no. 3, pp. 338-353, 1965. 

    [2] 

    K. Atanassov, "Intuitionistic Fuzzy Sets," Fuzzy Sets and Systems, vol. 20, no. 1, pp. 87-96, 1986. 

    [3] 

    F. Smarandache, "Generalization of the Intuitionistic Fuzzy Set to the Neutrosophic Set," International Conference on Granular Computing, pp. 8-42, 2006. 

    [4] 

    H. Wang, F. Smarandache, Y. Zhang and R. Sunderraman, "Single Valued Neutrosophic Sets," Multispace and Multistructure, vol. 4, pp. 410-413, 2005. 

    [5] 

    F. Smarandache, "Indeterminacy in Neutrosophic Theories and their Applications," International Journal of Neutrosophic Science, vol. 15, no. 2, pp. 89-97, 2021. 

    [6] 

    P. K. Singh, "Single-valued Plithogenic graph for handling multi-valued attribute data and its context," International Journal of Neutrosophic Science, vol. 15, no. 2, pp. 98-112, 2021. 

    [7] 

    S. Debnath, "Application of Intuitionistic Neutrosophic Soft Sets in Decision Making Based on Game Theory," International Journal of Neutrosophic Science, vol. 14, no. 2, pp. 83-97, 2021. 

    [8] 

    M. B. Zeina, "Neutrosophic Event-Based Queueing Model," International Journal of Neutrosophic Science, vol. 6, no. 1, pp. 48-55, 2020. 

    [9] 

    M. B. Zeina, "Erlang Service Queueing Model with Neutrosophic Parameters," International Journal of Neutrosophic Science, vol. 6, no. 2, pp. 106-112, 2020. 

    [10] 

    M. Abobala and M. Ibrahim, "An Introduction to Refined Neutrosophic Number Theory," Neutrosophic Sets and Systems, vol. 45, pp. 40-53, 2021. 

    [11] 

    M. B. Zeina and A. Hatip, "Neutrosophic Random Variables," Neutrosophic Sets and Systems, vol. 39, pp. 44-52, 2021. 

    [12] 

    I. Shahzadi, M. Aslam and H. Aslam, "Neutrosophic Statistical Analysis of Income of YouTube Channels," Neutrosophic Sets and Systems, vol. 39, pp. 101-106, 2021. 

    [13] 

    H. Hashim, L. Abdullah, A. Al-Quran and A. Awang, "Entropy Measures for Interval Neutrosophic Vague Sets and Their Application in Decision Making," Neutrosophic Sets and Systems, vol. 45, pp. 74-95, 2021.

    [14] 

    A. A. Abd El-Khalek, A. T. Khalil, M. A. Abo El-Soud and I. Yasser, "A Robust Machine Learning Algorithm for Cosmic Galaxy Images Classification Using Neutrosophic Score Features," Neutrosophic Sets and Systems, vol. 42, pp. 79-101, 2021. 

    [15] 

    S. Priyadharshini and F. Nirmala Irudayam, "A New Approach of Multi-Dimensional Single Valued," Neutrosophic Sets and Systems, vol. 45, pp. 151-161, 2021. 

    [16] 

    P. Biswas, S. Pramanik and B. C. Giri, "Value and ambiguity index based ranking method of single-valued trapezoidal neutrosophic numbers and its application to multi-attribute decision making," Neutrosophic Sets and Systems, vol. 12, pp. 127-138, 2016. 
    Cite This Article As :
    Bisher, Mohamed. , Zeitouny, Omar. , Masri, Fatina. , Kadoura, Fatima. , Broumi, Said. Operations on Single-Valued Trapezoidal Neutrosophic Numbers using (α,β,γ)-Cuts “Maple Package”. International Journal of Neutrosophic Science, vol. , no. , 2021, pp. 113-122. DOI: https://doi.org/10.54216/IJNS.150205
    Bisher, M. Zeitouny, O. Masri, F. Kadoura, F. Broumi, S. (2021). Operations on Single-Valued Trapezoidal Neutrosophic Numbers using (α,β,γ)-Cuts “Maple Package”. International Journal of Neutrosophic Science, (), 113-122. DOI: https://doi.org/10.54216/IJNS.150205
    Bisher, Mohamed. Zeitouny, Omar. Masri, Fatina. Kadoura, Fatima. Broumi, Said. Operations on Single-Valued Trapezoidal Neutrosophic Numbers using (α,β,γ)-Cuts “Maple Package”. International Journal of Neutrosophic Science , no. (2021): 113-122. DOI: https://doi.org/10.54216/IJNS.150205
    Bisher, M. , Zeitouny, O. , Masri, F. , Kadoura, F. , Broumi, S. (2021) . Operations on Single-Valued Trapezoidal Neutrosophic Numbers using (α,β,γ)-Cuts “Maple Package”. International Journal of Neutrosophic Science , () , 113-122 . DOI: https://doi.org/10.54216/IJNS.150205
    Bisher M. , Zeitouny O. , Masri F. , Kadoura F. , Broumi S. [2021]. Operations on Single-Valued Trapezoidal Neutrosophic Numbers using (α,β,γ)-Cuts “Maple Package”. International Journal of Neutrosophic Science. (): 113-122. DOI: https://doi.org/10.54216/IJNS.150205
    Bisher, M. Zeitouny, O. Masri, F. Kadoura, F. Broumi, S. "Operations on Single-Valued Trapezoidal Neutrosophic Numbers using (α,β,γ)-Cuts “Maple Package”," International Journal of Neutrosophic Science, vol. , no. , pp. 113-122, 2021. DOI: https://doi.org/10.54216/IJNS.150205

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