<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>A vast majority of research has been performed in the field of hesitant fuzzy sets (HFSs), involving the introduction of some properties, operations, relations and modifications of such sets or considering the application of HFSs in MCDM (multicriteria decision making). On the other hand, no research has been performed in the field of fully hesitant fuzzy equations. Therefore, in this paper, fully hesitant fuzzy equations and dual hesitant fuzzy equations are introduced. First, a method is proposed to solve one-element hesitant fuzzy equations. Then, the proposed method is extended to solve <italic>n</italic>-element hesitant fuzzy equations effectively. Moreover, to show the applicability of the proposed method, it is used to solve a real world problem. Thus, the proposed method is applied to determine market equilibrium price. Also, some other numerical examples are presented to better show the performance of the proposed method.</p>
</abstract>

A vast majority of research has been performed in the field of hesitant fuzzy sets (HFSs), involving the introduction of some properties, operations, relations and modifications of such sets or considering the application of HFSs in MCDM (multicriteria decision making). On the other hand, no research has been performed in the field of fully hesitant fuzzy equations. Therefore, in this paper, fully hesitant fuzzy equations and dual hesitant fuzzy equations are introduced. First, a method is proposed to solve one-element hesitant fuzzy equations. Then, the proposed method is extended to solve n-element hesitant fuzzy equations effectively. Moreover, to show the applicability of the proposed method, it is used to solve a real world problem. Thus, the proposed method is applied to determine market equilibrium price. Also, some other numerical examples are presented to better show the performance of the proposed method.

Introducing hesitant fuzzy equations and determining market equilibrium price

Department of Mathematics, Faculty of Science

Control and Cybernetics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Introducing hesitant fuzzy equations and determining market equilibrium price"}

A vast majority of research has been performed in the field of hesitant fuzzy sets (HFSs), involving the introduction of some properties, operations, relations...

Introducing hesitant fuzzy equations and determining market equilibrium price

Publicado en línea: 27 jun 2022

Páginas: 363 - 382

Recibido: 01 may 2020

Aceptado: 01 abr 2021

DOI: https://doi.org/10.2478/candc-2021-0022

Palabras clave
hesitant fuzzy sets, hesitant fuzzy equations, dual hesitant fuzzy equations, membership degree

© 2021 Fatemeh Babakordi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Introducing hesitant fuzzy equations and determining market equilibrium price

Publicado en línea: 27 jun 2022

Páginas: 363 - 382

Recibido: 01 may 2020

Aceptado: 01 abr 2021

DOI: https://doi.org/10.2478/candc-2021-0022

Palabras clavehesitant fuzzy sets, hesitant fuzzy equations, dual hesitant fuzzy equations, membership degree

© 2021 Fatemeh Babakordi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Palabras clave
hesitant fuzzy sets, hesitant fuzzy equations, dual hesitant fuzzy equations, membership degree