International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 24 , Issue 2 , PP: 187-197, 2024 | Cite this article as | XML | Html | PDF

Arithmetic Operations on Generalized Pentagonal Fuzzy Numbers

Aslı Guldurdek 1 * , G. Yazgı Tutuncu 2

  • 1 College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait. - (asli.guldurdek@aum.edu.kw)
  • 2 Department of Mathematics, ˙Izmir University of Economics, ˙Izmir, Turkey. - (yazgi.tutuncu@ieu.edu.tr)
  • Doi: https://doi.org/10.54216/IJNS.240216

    Received: October 18, 2023 Revised: February 17, 2024 Accepted: April 27, 2024
    Abstract

    Fuzzy concepts have been widely used to treat imprecision in many fields of natural and social sciences. In most of the natural science fields such as applied mathematics, physics, chemistry, and engineering, triangular and trapezoidal fuzzy numbers are commonly used and arithmetic operations on those numbers are studied in detail. On the other hand, in engineering and social science fields such as sociology and psychology, while treating the uncertainties, these numbers are not applicable and fuzzy numbers with more parameters and clear definitions of their arithmetic operations are needed. In order to fill this gap in the literature, in this study we propose the generalized pentagonal fuzzy numbers, and we define fuzzy arithmetic operations based on both extension and the function principle.

    Keywords :

    fuzzy number , fuzzy arithmetic , extension principle , Chen&rsquo , s function principle , pentagonal.

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    Cite This Article As :
    Aslı Guldurdek, G. Yazgı Tutuncu. "Arithmetic Operations on Generalized Pentagonal Fuzzy Numbers." Full Length Article, Vol. 24, No. 2, 2024 ,PP. 187-197 (Doi   :  https://doi.org/10.54216/IJNS.240216)
    Aslı Guldurdek, G. Yazgı Tutuncu. (2024). Arithmetic Operations on Generalized Pentagonal Fuzzy Numbers. Journal of , 24 ( 2 ), 187-197 (Doi   :  https://doi.org/10.54216/IJNS.240216)
    Aslı Guldurdek, G. Yazgı Tutuncu. "Arithmetic Operations on Generalized Pentagonal Fuzzy Numbers." Journal of , 24 no. 2 (2024): 187-197 (Doi   :  https://doi.org/10.54216/IJNS.240216)
    Aslı Guldurdek, G. Yazgı Tutuncu. (2024). Arithmetic Operations on Generalized Pentagonal Fuzzy Numbers. Journal of , 24 ( 2 ), 187-197 (Doi   :  https://doi.org/10.54216/IJNS.240216)
    Aslı Guldurdek, G. Yazgı Tutuncu. Arithmetic Operations on Generalized Pentagonal Fuzzy Numbers. Journal of , (2024); 24 ( 2 ): 187-197 (Doi   :  https://doi.org/10.54216/IJNS.240216)
    Aslı Guldurdek, G. Yazgı Tutuncu, Arithmetic Operations on Generalized Pentagonal Fuzzy Numbers, Journal of , Vol. 24 , No. 2 , (2024) : 187-197 (Doi   :  https://doi.org/10.54216/IJNS.240216)