%0 Journal Article
%T Hesitant Fuzzy Equation
%J Control and Optimization in Applied Mathematics
%I Payame Noor University (PNU)
%Z 2383-3130
%A Babakordi, Fatemeh
%A Taghi-Nezhad, Nemat Allah
%D 2024
%\ 05/01/2024
%V 9
%N 1
%P 67-79
%! Hesitant Fuzzy Equation
%K Categories of hesitant fuzzy equations
%K Partial hesitant fuzzy equation
%K Half hesitant fuzzy equation
%K Algebraic solution set
%R 10.30473/coam.2023.68208.1240
%X This paper presents the introduction of two novel equation types: the partial hesitant fuzzy equation and the half hesitant fuzzy equation. Additionally, an efficient method is proposed to solve these equations by defining four solution categories: Controllable, Tolerable Solution Set (TSS), Controllable Solution Set (CSS), and Algebraic Solution Set (ASS). Furthermore, the paper establishes eight theorems that explore different types of solutions and lay out the conditions for the existence and non-existence of hesitant fuzzy solutions. The practicality of the proposed method is demonstrated through numerical examples.
%U https://mathco.journals.pnu.ac.ir/article_10360_40062fefd890ab189664babdc44e862c.pdf