Abstract
We devote this paper to study of multiobjective programming problems with interval valued objective functions. For this, we consider two order relations LU and LS on the set of all closed intervals and propose several concepts of Pareto optimal solutions and generalized convexity. Based on generalized convexity (viz. LU and LS-pseudoconvexity) and generalized differentiability (viz. gHdifferentiablity) of interval valued functions, the KKT optimality conditions for aforesaid problems are obtained. The theoretical development is illustrated by suitable examples.
| Original language | English |
|---|---|
| Pages (from-to) | 19-45 |
| Number of pages | 27 |
| Journal | Control and Cybernetics |
| Volume | 44 |
| Issue number | 1 |
| State | Published - 2015 |
Keywords
- Interval valued functions
- KKT optimality conditions
- Pareto optimal solutions
- Pseudoconvexity
- gH-differentiablity
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Applied Mathematics
Fingerprint
Dive into the research topics of 'Optimality conditions in multiobjective programming problems with interval valued objective functions'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver