caa a22 4500 465756352 CHVBK 20180323111848.0 cr unu---uuuuu 170327e19900201xx s 000 0 eng 10.1007/BF00221382 doi (NATIONALLICENCE)springer-10.1007/BF00221382 Inducing relations on incomplete ordinal data [Elektronische Daten] [William Gehrlein, Peter Fishburn] Let X denote a set of n elements or stimuli which have an underlying linear ranking L based on some attribute of comparison. Incomplete ordinal data is known about L, in the form of a partial order P on X. This study considers methods which attempt to induce, or reconstruct, L based only on the ordinal information in P. Two basic methods for approaching this problem are the cardinal and sequel construction methods. Exact values are computed for the expected error of weak order approximations of L from the cardinal and sequel construction methods. Results involving interval orders and semiorders for P are also considered. Previous simulation comparisons for cardinal and sequel construction methods on interval orders were found to depend on the specific model that was used to generate random interval orders, and were not found to hold for interval orders in general. Finally, we consider the likelihood that any particular linear extension of P is the underlying L. Kluwer Academic Publishers, 1990 Gehrlein William Department of Business Administration, University of Delaware, 19716, Newark, DE, USA aut Fishburn Peter AT & T Bell Laboratories, 07974, Murray Hill, NJ, USA aut Quality and Quantity Kluwer Academic Publishers 24/1(1990-02-01), 17-36 0033-5177 24:1<17 1990 24 11135 https://doi.org/10.1007/BF00221382 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00221382 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gehrlein William Department of Business Administration, University of Delaware, 19716, Newark, DE, USA aut NATIONALLICENCE 700 1- Fishburn Peter AT & T Bell Laboratories, 07974, Murray Hill, NJ, USA aut NATIONALLICENCE 773 0- Quality and Quantity Kluwer Academic Publishers 24/1(1990-02-01), 17-36 0033-5177 24:1<17 1990 24 11135 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer