Velocity and distance of neighbourhood sequences

Hajdu, András and Hajdu, Lajos: Velocity and distance of neighbourhood sequences. In: Acta cybernetica, (16) 1. pp. 133-145. (2003)

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Das et al. [2] defined the notion of periodic neighbourhood sequences. They also introduced a natural ordering relation for such sequences. Fazekas et al. [4] generalized the concept of neighbourhood sequences, by dropping periodicity. They also extended the ordering to these generalized neighbourhood sequences. The relation has some unpleasant properties (e.g., it is not a complete ordering). In certain applications it can be useful to compare any two neighbourhood sequences. For this purpose, in the present paper we introduce a norm-like concept, called velocity, for neighbourhood sequences. This concept is in very close connection with the natural ordering relation. We also define a metric for neighbourhood sequences, and investigate its properties.

Item Type: Article
Journal or Publication Title: Acta cybernetica
Date: 2003
Volume: 16
Number: 1
ISSN: 0324-721X
Page Range: pp. 133-145
Language: angol
Uncontrolled Keywords: Természettudomány
Additional Information: Bibliogr.: 145. p.; Abstract
Date Deposited: 2016. Oct. 15. 12:25
Last Modified: 2018. Apr. 10. 15:50

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