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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Vydáno v:Fuzzy information and engineering Ročník 15; číslo 4; s. 347 - 361
Hlavní autoři: Bekhit, N. M., Emam, O. E., Elhamid, Laila Abd
Médium: Journal Article
Jazyk:angličtina
Vydáno: Tsinghua University Press 01.12.2023
Témata:
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
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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.
AbstractList 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.
Author Bekhit, N. M.
Emam, O. E.
Elhamid, Laila Abd
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SubjectTerms branch and bound method
fuzzy approach
integer programming
multi-level multi-objective programming
pentagonal neutrosophic numbers
quadratic programming
score and accuracy function
Title A Multi-Level Multi-Objective Integer Quadratic Programming Problem Under Pentagonal Neutrosophic Environment
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