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Soft Computing
Erschienen in: Soft Computing 19/2019

08.09.2018 | Focus

Optimality criteria for fuzzy-valued fractional multi-objective optimization problem

verfasst von: Deepika Agarwal, Pitam Singh, Xiong Li, Saru Kumari

Erschienen in: Soft Computing | Ausgabe 19/2019

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Abstract

This paper presents optimality criteria for fuzzy-valued fractional multi-objective optimization problem. There are numerous optimality criteria which have been established for the deterministic fractional multi-objective optimization problems. Very few studies are available on the establishment of optimality criteria for fuzzy-valued multi-objective optimization problem. So, Karush–Kuhn–Tucker optimality criteria for fuzzy-valued fractional multi-objective problem are established by using Lagrange multipliers. First, the original problem is modified using the parametric approach of Dinkelbach into multi-objective non-fractional optimization problem, and then, the optimality conditions are established for the modified problem using the Hukuhara derivative. The established optimality criteria are verified by two numerical examples.
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Metadaten
Titel
Optimality criteria for fuzzy-valued fractional multi-objective optimization problem
verfasst von
Deepika Agarwal
Pitam Singh
Xiong Li
Saru Kumari
Publikationsdatum
08.09.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 19/2019
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-018-3508-z

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