@article{Bekhit2023, 
author = {N. M. Bekhit and O. E. Emam and Laila Abd Elhamid},
title = {A Multi-Level Multi-Objective Integer Quadratic Programming Problem Under Pentagonal Neutrosophic Environment},
year = {2023},
journal = {Fuzzy Information and Engineering},
volume = {15},
number = {4},
pages = {347-361},
keywords = {Pentagonal Neutrosophic numbers, score and accuracy function, multi-level multi-objective programming, quadratic programming, integer programming, branch and bound method, fuzzy approach},
url = {https://www.sciopen.com/article/10.26599/FIE.2023.9270025},
doi = {10.26599/FIE.2023.9270025},
abstract = {The aim of this paper is to propose an algorithm to solve and enhance a multi-level multi-objective integer quadratic programming problem (MLMOIQPP) under a single-valued Pentagonal Neutrosophic environment applied to the objective functions. The suggested solution takes advantage of multi-objective optimization in addition to the fuzzy approach as well as the branch and bound technique, which is implemented at each decision level to develop a generalized maximization-minimization model for obtaining the integer satisfactory solution after applying the score and accuracy function in the first phase of the solution methodology to single-valued Pentagonal Neutrosophic parameters to be converted into an equal crisp form. An illustrative example is demonstrated to validate the proposed solution algorithm.}
}