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

Hamiden Abd El-Wahed Khalifa () and Pavan Kumar
Additional contact information
Hamiden Abd El-Wahed Khalifa: Cairo University

OPSEARCH, 2022, vol. 59, issue 4, No 8, 1396-1412

Abstract: Abstract 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.

Keywords: Nonlinear programming; Fuzzy set; Neutrosophic number; Kuhn–Tucker's optimality conditions; Lexicographic order; Optimal compromise solution (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s12597-022-00584-2 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:opsear:v:59:y:2022:i:4:d:10.1007_s12597-022-00584-2

Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/12597

DOI: 10.1007/s12597-022-00584-2

Access Statistics for this article

OPSEARCH is currently edited by Birendra Mandal

More articles in OPSEARCH from Springer, Operational Research Society of India
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().