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

In this paper the solution for hesitant fuzzy system as <italic>AX</italic> = <italic>B</italic> is introduced where <italic>A</italic> is an <italic>n</italic> × <italic>n</italic> known hesitant fuzzy matrix, <italic>B</italic> is an <italic>n</italic> × 1 known hesitant fuzzy vector and <italic>X</italic> is an <italic>n</italic> × 1 unknown hesitant fuzzy vector.
First, <italic>L</italic>∞-norm and <italic>L</italic>1-norm of a hesitant fuzzy vector are introduced. Then, the concepts of hesitant fuzzy zero, ’almost equal’ and ’less than’ and ’equal’ are defined for two hesitant fuzzy numbers. Finally, using a minimization problem; the hesitant fuzzy system is solved. At the end, some numerical examples are presented to show the effectiveness of the proposed method.
</abstract>

In this paper the solution for hesitant fuzzy system as AX = B is introduced where A is an n × n known hesitant fuzzy matrix, B is an n × 1 known hesitant fuzzy vector and X is an n × 1 unknown hesitant fuzzy vector.
First, L∞-norm and L1-norm of a hesitant fuzzy vector are introduced. Then, the concepts of hesitant fuzzy zero, ’almost equal’ and ’less than’ and ’equal’ are defined for two hesitant fuzzy numbers. Finally, using a minimization problem; the hesitant fuzzy system is solved. At the end, some numerical examples are presented to show the effectiveness of the proposed method.

Introducing and solving the hesitant fuzzy system <italic>AX</italic> = <italic>B</italic>

Control and Cybernetics

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

Introducing and solving the hesitant fuzzy system  = 

In this paper the solution for hesitant fuzzy system as AX = B is introduced where A is an n × n known hesitant fuzzy matrix, B is an n × 1 known hesitant...

Introducing and solving the hesitant fuzzy system AX = B

Published Online: Jun 27, 2022

Page range: 553 - 574

Received: Aug 01, 2020

Accepted: Sep 01, 2021

DOI: https://doi.org/10.2478/candc-2021-0031

Keywords
-norm, -norm, hesitant fuzzy number, hesitant fuzzy system, minimization problem

© 2021 Fatemeh Babakordi et al., published by Sciendo

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

Introducing and solving the hesitant fuzzy system AX = B

Published Online: Jun 27, 2022

Page range: 553 - 574

Received: Aug 01, 2020

Accepted: Sep 01, 2021

DOI: https://doi.org/10.2478/candc-2021-0031

Keywords-norm, -norm, hesitant fuzzy number, hesitant fuzzy system, minimization problem

© 2021 Fatemeh Babakordi et al., published by Sciendo

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

Keywords
-norm, -norm, hesitant fuzzy number, hesitant fuzzy system, minimization problem