TY - JOUR
ID - 10360
TI - Hesitant Fuzzy Equation
JO - Control and Optimization in Applied Mathematics
JA - COAM
LA - en
SN - 2383-3130
AU - Babakordi, Fatemeh
AU - Taghi-Nezhad, Nemat Allah
AD - Department of Mathematics, Faculty of Science, Gonbad Kavous University, Gonbad Kavous, Iran.
Y1 - 2024
PY - 2024
VL - 9
IS - 1
SP - 67
EP - 79
KW - Categories of hesitant fuzzy equations
KW - Partial hesitant fuzzy equation
KW - Half hesitant fuzzy equation
KW - Algebraic solution set
DO - 10.30473/coam.2023.68208.1240
N2 - 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.
UR - https://mathco.journals.pnu.ac.ir/article_10360.html
L1 - https://mathco.journals.pnu.ac.ir/article_10360_40062fefd890ab189664babdc44e862c.pdf
ER -