A Multi-Level Multi-Objective Integer Quadratic Programming Problem Under Pentagonal Neutrosophic Environment

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...

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Bibliographic Details
Published in:Fuzzy information and engineering Vol. 15; no. 4; pp. 347 - 361
Main Authors: Bekhit, N. M., Emam, O. E., Elhamid, Laila Abd
Format: Journal Article
Language:English
Published: Tsinghua University Press 01.12.2023
Subjects:
branch and bound method
fuzzy approach
integer programming
multi-level multi-objective programming
pentagonal neutrosophic numbers
quadratic programming
score and accuracy function
ISSN:1616-8658, 1616-8666
Online Access:Get full text
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Summary: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.
ISSN:1616-8658
1616-8666
DOI:10.26599/FIE.2023.9270025