Bi-level and multi-level programming problems: taxonomy of literature review and research issues

K Lachhwani, A Dwivedi - Archives of Computational Methods in …, 2018 - Springer
This paper presents taxonomy of detailed literature reviews on bi-level programming
problems (BLPPs), multi-level programming problems (MLPPs) and associated research …

Multiobjective bilevel optimization: A survey of the state-of-the-art

JA Mejía-De-Dios, A Rodríguez-Molina… - IEEE transactions on …, 2023 - ieeexplore.ieee.org
Optimization makes processes, systems, or products more efficient, reliable, and with better
outcomes. A popular topic on optimization today is multiobjective bilevel optimization …

[HTML][HTML] A novel algorithm for generating Pareto frontier of bi-level multi-objective rough nonlinear programming problem

MA Elsisy, MA El Sayed, Y Abo-Elnaga - Ain Shams Engineering Journal, 2021 - Elsevier
This paper discusses a new algorithm for generating the Pareto frontier for bi-level multi-
objective rough nonlinear programming problem (BL-MRNPP). In this algorithm, the …

A eighth bibliography of fractional programming

IM Stancu-Minasian - Optimization, 2017 - Taylor & Francis
This paper lists in alphabetical order by the name of the first author, 532 papers dealing with
fractional programming and its applications. This covers mainly the period 2012–2015 but it …

Application of linear fractional programming problem with fuzzy nature in industry sector

SK Das, SA Edalatpanah, T Mandal - Filomat, 2020 - doiserbia.nb.rs
Several methods currently exist for solving fuzzy linear fractional programming problems
under non negative fuzzy variables. However, due to the limitation of these methods, they …

Reduction methods of type-2 fuzzy variables and their applications to Stackelberg game

SK Roy, SK Maiti - Applied Intelligence, 2020 - Springer
This paper is designed based on the mathematical models for bi-level programming in
Stackelberg game under type-2 fuzzy environment. The parameters of the objective …

A comparative study of two optimization approaches for solving bi-level multi-objective linear fractional programming problem

RM Rizk-Allah, MA Abo-Sinna - Opsearch, 2021 - Springer
Despite the important role of bi-level multi-objective linear fractional programming (BL-
MOLFP) problem for many hierarchical organizations, a very little success has been …

[HTML][HTML] Fuzzy rough bi-level multi-objective nonlinear programming problems

MA Elsisy, MA El Sayed - Alexandria engineering journal, 2019 - Elsevier
Fuzzy rough bi-level multi-objective nonlinear programming problem (FRBMNPP) moved
toward becoming rise normally in various real applications. In this article we develop bi-level …

Development of unrestricted fuzzy linear fractional programming problems applied in real case

SK Das, SA Edalatpanah… - Fuzzy information and …, 2021 - ieeexplore.ieee.org
Purpose: We formulate a linear fractional programming (LFP) problem in which costs of the
objective functions and constraints all are taken to be trianaular fuzzy numbers …

Gaussian type-2 fuzzy cooperative game based on reduction method: An application to multi-drug resistance problem

SK Maiti, SK Roy, GW Weber - Journal of Dynamics and Games, 2024 - aimsciences.org
Many developments of fuzzy sets have been suggested to accomplish uncertain information
in real-world problems. But, in the greatest cases, fuzzy sets in two-dimensions or type-1 …