Title
A Theory of Lexicographic Multi-Criteria Optimization
Abstract
The field of multi-criteria optimization is reviewed as it pertains to lexicographic optimization over real-valued vector spaces. How lexicographic optimization differs from multi-criteria optimization that is restricted to proper Pareto optima is explained. Through a survey of previous work, it is revealed that there are currently no generally applicable methods for solving lexicographic optimization problems, and it is explained that this is due to the lack of an adequate mathematical theory for such problems. A more adequate mathematical theory is then presented for lexicographic optimization in this paper.
Year
DOI
Venue
1996
10.1109/ICECCS.1996.558386
Montreal, Que.
Keywords
Field
DocType
multi-criteria optimization,lexicographic optimization,adequate mathematical theory,applicable method,real-valued vector space,proper pareto optimum,lexicographic multi-criteria optimization,previous work,lexicographic optimization problem,constraint optimization,optimization problem,mathematical programming,automation,vector space,concrete
Continuous optimization,Probabilistic-based design optimization,Mathematical optimization,Derivative-free optimization,Bilevel optimization,Vector optimization,Computer science,Discrete optimization,Multi-objective optimization,Engineering optimization
Conference
ISBN
Citations 
PageRank 
0-8186-7614-0
4
0.40
References 
Authors
1
3
Name
Order
Citations
PageRank
Mark J. Rentmeesters140.40
Wei K. Tsai210311.47
Kwei-Jay Lin33209376.05