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
Funding Information:The authors wish to thank anonymous reviewers for their constructive and valuable suggestions which have considerably improved the presentation of the paper. The research of the first author is financially supported by King Fahd University of Petroleum and Minerals, Saudi Arabia under the Internal Research Project No. IN131038.
Publisher Copyright:
© 2017 Inderscience Enterprises Ltd.
Keywords
- Interval efficient solutions
- Interval valued functions
- LU-convexity
- Optimality conditions
- duality
ASJC Scopus subject areas
- Decision Sciences (all)
- Modeling and Simulation