Order structures such as linear orders, weak orders, semiorders and interval orders are often considered as models of a decision maker's preferences. In this paper we introduce and study new order structures characterized by their symmetric part belonging to certain classes of co-comparability graph
On comparability of structures
✍ Scribed by Milan Randić
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 508 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0009-2614
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✦ Synopsis
The problem of comparability of structures and functions defined on structures is considered foliowing the early work of Muirhead (confined to intsnl parametrization) and more modern genercdization of Karamata. The basis of such comparabilities is the set of inequalities which when satisfied permit one to est,blish J relative order (importance) of the structures or associated functions. Chemical illustrations are given for both, Muirhead and Karamata inequalities. It is outlined how to go beyond the partial ordering in such comparisons when additfom ' information on the trends rtmong the parameters involved is available.
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