The Karush-Kuhn-Tucker Optimality Condition for \(q\)-Rung Orthopair Fuzzy Optimization Problem

Authors

DOI:

https://doi.org/10.26713/cma.v14i1.1907

Keywords:

Triangular qROPF number, Hukuhara differentiability, KKT optimality conditions, α, β level set

Abstract

In this paper, we defined the interval form of \(\alpha, \beta\) level set for triangular q-rung orthopair fuzzy (qROPF) number. To obtain a differentiability notion for qROPF valued functions, Hukuhara differentiability (H-differentiability) and \(\alpha, \beta\) level-wise H-differentiability is defined. Using this KKT optimality condition for qROPF optimization problem with triangular qROPF objective function are formulated.

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Published

09-05-2023
CITATION

How to Cite

James, J., & Jose, S. (2023). The Karush-Kuhn-Tucker Optimality Condition for \(q\)-Rung Orthopair Fuzzy Optimization Problem. Communications in Mathematics and Applications, 14(1), 375–383. https://doi.org/10.26713/cma.v14i1.1907

Issue

Vol. 14 No. 1 (2023)

Section

Research Article

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