Pareto-optimal solutions for multi-objective flexible linear programming
Article Type
Research Article
Publication Title
Journal of Intelligent and Fuzzy Systems
Abstract
The aim of this paper is twofold. Firstly, to define a solution concept of Pareto-optimality for a multi-objective flexible linear programming (MOFLP) problem (or multi-objective fuzzy linear programming problem) and design a method to extract a Pareto-optimal solution of MOFLP problem from the set of optimal solutions of equivalent optimization problem formulated by Dubey and Mehra (2013). Secondly, to extend this study to multi-objective linear programming problem involving hard and flexible constraints with interval uncertainty. A flexible constraint with interval uncertainty generalizes a flexible constraint by allowing preferences to be expressed in the form of intervals. An optimistic-pessimistic approach is proposed to solve multi-objective flexible linear programming with interval uncertainty (MOFLPIU) using an interval-valued fuzzy set representation and the Hurwicz optimism-pessimism criterion.
First Page
535
Last Page
546
DOI
10.3233/IFS-151778
Publication Date
1-1-2016
Recommended Citation
Dubey, Dipti and Mehra, Aparna, "Pareto-optimal solutions for multi-objective flexible linear programming" (2016). Journal Articles. 4370.
https://digitalcommons.isical.ac.in/journal-articles/4370