Theme-Logo
  • Login
  • Home
  • Course
  • Publication
  • Theses
  • Reports
  • Published books
  • Workshops / Conferences
  • Supervised PhD
  • Supervised MSc
  • Supervised projects
  • Education
  • Language skills
  • Positions
  • Memberships and awards
  • Committees
  • Experience
  • Scientific activites
  • In links
  • Outgoinglinks
  • News
  • Gallery
publication name A novel algorithm for generating Pareto frontier of bi-level multi-objective rough nonlinear programming problem
Authors M.A. Elsisy, M.A. El Sayed, & Y. Abo-Elnaga
year 2021
keywords Multi-objective programming Bi-level programming Rough set KKT optimality
journal Ain Shams Engineering Journal
volume in press
issue Not Available
pages Not Available
publisher Elsevier
Local/International International
Paper Link https://www.sciencedirect.com/science/article/pii/S2090447920302732
Full paper download
Supplementary materials Not Available
Abstract

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 uncertainty exists in constraints which are modeled as a rough set. Initially, BL-MRNPP is transformed into four deterministic models. The weighted method and the Karush-Kuhn-Tucker optimality condition are combined to obtain the Pareto front of each model. The nature of the problem solutions is characterized according to newly proposed definitions. The location of efficient solutions depending on the lower/upper approximation set is discussed. The aim of the proposed solution procedure for the BL-MRNPP is to avoid solving four problems. A numerical example is solved to indicate the applicability of the proposed algorithm.

Benha University © 2023 Designed and developed by portal team - Benha University