A New Bell Shape Fuzzy Number

Navid Bagheri; Seyed Saeid Hashemin

doi:https://doi.org/10.14445/22315373/IJMTT-V54P544

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 54 | Number 5 | Year 2018 | Article Id. IJMTT-V54P544 | DOI : https://doi.org/10.14445/22315373/IJMTT-V54P544

A New Bell Shape Fuzzy Number

Navid Bagheri, Seyed Saeid Hashemin

Citation :

Navid Bagheri, Seyed Saeid Hashemin, "A New Bell Shape Fuzzy Number," International Journal of Mathematics Trends and Technology (IJMTT), vol. 54, no. 5, pp. 377-382, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V54P544

Abstract

Uncertainty can be expressed by fuzzy numbers. Some fuzzy numbers are triangular and trapezoidal. Although it is easy to perform calculations on them, they are not flexible enough to show the uncertainty. Bell shape fuzzy numbers are very flexible. However, it is very difficult to conduct arithmetic operations on them. In this paper, a new bell shape fuzzy number has been developed. The new fuzzy number looks like a bell. Then, arithmetic operations have been defined for the new fuzzy number. Also, it has been proven that the ranking of the new fuzzy number can be done successfully. The above mentioned operations and the ranking method of the new fuzzy number have been described by some examples. The new fuzzy number is more flexible compared to triangular and trapezoidal ones. Also, arithmetic calculation of the new fuzzy number is much simpler than that of a bell shape fuzzy number.

Keywords

New fuzzy number, Bell shape fuzzy number, Operations on fuzzy numbers

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