The balance space approach to multicriteria decision making - Involving the decision maker

Computers and Mathematics with Applications

Volumn 44, Issue 7, 2002, Pages 909-923

  Ehrgott, M ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

Balance space; Interactive methods; Min max problem; Multicriteria decision making; Pareto optimality

Indexed keywords

ALGORITHMS; DECISION MAKING; LINEAR PROGRAMMING; PARETO PRINCIPLE; SET THEORY; THEOREM PROVING; VECTORS;

BALANCE NUMBER; BALANCE SET; BALANCE SPACE METHOD; INTERACTIVE METHODS; MIN-MAX PROBLEM; MULTICRITERIA DECISION MAKING; MULTICRITERIA OPTIMIZATION; MULTIOBJECTIVE OPTIMIZATION; PARETO OPTIMALITY;

GLOBAL OPTIMIZATION;

EID: 0036782161     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(02)00203-1     Document Type: Article

References (11)

1. Nonscalarized multiobjective global optimization
2. A note on the equivalence of balance points and Pareto solutions in multiple-objective programming
3. Pareto analysis vis-a-vis the balance space approach in multiobjective global optimization
4. Retrieval and use of the balance set in multiobjective global optimization
5. Min-max formulation of the balance number in multiobjective global optimization
6. Connectedness of the set of nondominated outcomes in multicriteria optimization
7. Quasiconcave vector maximization: Connectedness of the sets of Pareto-optimal and weak Pareto-optimal alternatives
8. On the connectedness of the set of weakly efficient points of a vector optimization problem in locally convex spaces
9. Connectedness of the efficient set for three-objective maximization problems
10. On the structure of the non-dominated set for bicriteria programmes