A fuzzy programming approach to neutrosophic complex nonlinear programming problem of real functions in complex variables via lexicographic order

In this article, a complex nonlinear programming problem with objective function coefficients characterized by neutrosophic numbers and fuzzy inequalities constraints is considered. Using the score function definition, the model is converted into the corresponding crisp model with fuzzy inequalities...

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Bibliographic Details
Published in:Opsearch Vol. 59; no. 4; pp. 1396 - 1412
Main Authors: Khalifa, Hamiden Abd El-Wahed, Kumar, Pavan
Format: Journal Article
Language:English
Published: New Delhi Springer India 01.12.2022
Springer Nature B.V
Subjects:
Business and Management
Complex variables
Experimentation
Inequalities
Management
Mathematics
Nonlinear programming
Operations research
Operations Research/Decision Theory
Real variables
Theoretical Article
Nonlinear programming
Fuzzy set
Optimal compromise solution
Lexicographic order
Kuhn–Tucker's optimality conditions
Neutrosophic number
ISSN:0030-3887, 0975-0320
Online Access:Get full text
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Summary:In this article, a complex nonlinear programming problem with objective function coefficients characterized by neutrosophic numbers and fuzzy inequalities constraints is considered. Using the score function definition, the model is converted into the corresponding crisp model with fuzzy inequalities, which can be further partitioned into two real sub-models based on the Lexicographic order. A fuzzy programming approach is applied to each sub-problem by introducing the membership functions. Linear membership function is used to obtain optimal compromise solution. A numerical experimentation is performed for the sake of the suggested approach for illustration.
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ISSN:0030-3887
0975-0320
DOI:10.1007/s12597-022-00584-2