Abstract
In this paper, Fritz-John and Kuhn-Tucker type necessary and sufficient conditions for a non-differentiable interval valued multiobjective optimisation model are established. LU-convexity of interval valued functions is utilised to obtain interval efficient solution for the given problem. Moreover, weak, strong and strict converse duality theorems for Wolfe and Mond-Weir type duals are obtained in order to relate the interval efficient solution of primal and dual problems.
| Original language | English |
|---|---|
| Pages (from-to) | 332-356 |
| Number of pages | 25 |
| Journal | International Journal of Mathematics in Operational Research |
| Volume | 11 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2017 |
Bibliographical note
Publisher Copyright:© 2017 Inderscience Enterprises Ltd.
Keywords
- Interval efficient solutions
- Interval valued functions
- LU-convexity
- Optimality conditions
- duality
ASJC Scopus subject areas
- General Decision Sciences
- Modeling and Simulation