caa a22 4500 475769325 CHVBK 20180406123615.0 cr unu---uuuuu 170329e20000501xx s 000 0 eng 10.1007/s101070050011 doi (NATIONALLICENCE)springer-10.1007/s101070050011 Sayın Serpil Koç University, College of Administrative Sciences and Economics, İstinye, 80860 İstanbul, Turkey, e-mail: ssayin@ku.edu.tr, TR aut Measuring the quality of discrete representations of efficient sets in multiple objective mathematical programming [Elektronische Daten] [Serpil Sayın] Abstract. : One way of solving multiple objective mathematical programming problems is finding discrete representations of the efficient set. A modified goal of finding good discrete representations of the efficient set would contribute to the practicality of vector maximization algorithms. We define coverage, uniformity and cardinality as the three attributes of quality of discrete representations and introduce a framework that includes these attributes in which discrete representations can be evaluated, compared to each other, and judged satisfactory or unsatisfactory by a Decision Maker. We provide simple mathematical programming formulations that can be used to compute the coverage error of a given discrete representation. Our formulations are practically implementable when the problem under study is a multiobjective linear programming problem. We believe that the interactive algorithms along with the vector maximization methods can make use of our framework and its tools. Springer-Verlag Berlin Heidelberg, 2000 Key words: multiple objective mathematical programming - vector optimization - efficient set - discrete representation nationallicence https://doi.org/10.1007/s101070050011 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s101070050011 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Sayın Serpil Koç University, College of Administrative Sciences and Economics, İstinye, 80860 İstanbul, Turkey, e-mail: ssayin@ku.edu.tr, TR aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer