Volume 55, Number 4, July-August 2021
|Page(s)||2567 - 2581|
|Published online||30 August 2021|
Solving multi-level multiobjective fractional programming problem with rough interval parameter in neutrosophic environment
Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India
2 Indian Statistical Institute, Bangalore Centre, 8th Mile, Mysore Road, Bangalore 560059, India
3 Industrial Engineering Department, College of Engineering, King Saud University, P.O. Box 800, Riyadh 11421, Saudi Arabia
4 School of Science, College of Sciences, Technology, Engineering, Mathematics, RMIT University, GPO Box 2476, Melbourne, Victoria 3001, Australia .
* Corresponding author: email@example.com
Accepted: 21 July 2021
In this study, a novel algorithm is developed to solve the multi-level multiobjective fractional programming problems, using the idea of a neutrosophic fuzzy set. The co-efficients in each objective functions is assumed to be rough intervals. Furthermore, the objective functions are transformed into two sub-problems based on lower and upper approximation intervals. The marginal evaluation of pre-determined neutrosophic fuzzy goals for all objective functions at each level is achieved by different membership functions, such as truth, indeterminacy/neutral, and falsity degrees in neutrosophic uncertainty. In addition, the neutrosophic fuzzy goal programming algorithm is proposed to attain the highest degrees of each marginal evaluation goals by reducing their deviational variables and consequently obtain the optimal solution for all the decision-makers at all levels. To verify and validate the proposed neutrosophic fuzzy goal programming techniques, a numerical example is adressed in a hierarchical decision-making environment along with the conclusions.
Mathematics Subject Classification: 03B52 / 03F55 / 62J05 / 62J99
Key words: Rough intervals / Indeterminacy membership function / Neutrosophic goal programming algorithm / Hierarchical decision-making problems
© The authors. Published by EDP Sciences, ROADEF, SMAI 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.