Continuous representation of interval orders by means of decreasing scales

Authors

  • Gianni Bosi Dipartimento di Matematica Applicata ``Bruno de Finetti'', Università di Trieste, Piazzale Europa 1, 34127 Trieste, Italy Author

Keywords:

Interval order, continuous numerical representation, decreasing scale

Subjects:

06A06, 91B16

Abstract

We characterize the representability of an interval order on a topological space through apair of continuous real-valued functions which in addition represent two total preorders associated to the given intervalorder. Such a continuous representation is obtained by using the notion of a decreasing scale.

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Published

2006-10-15

Issue

Vol. 58 No. 3–4 (2006): Vol. 58, Issue 3–4

Section

Articles

License

Copyright (c) 2006 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.