<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

Published Online: Jun 27, 2022

Page range: 363 - 382

Received: May 01, 2020

Accepted: Apr 01, 2021

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

Keywords
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

Published Online: Jun 27, 2022

Page range: 363 - 382

Received: May 01, 2020

Accepted: Apr 01, 2021

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

Keywordshesitant 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.

Keywords
hesitant fuzzy sets, hesitant fuzzy equations, dual hesitant fuzzy equations, membership degree