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Egghe, L.: ¬A universal method of information retrieval evaluation : the "missing" link M and the universal IR surface (2004) 0.04

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Date: 14. 8.2004 19:17:22
Source: Information processing and management. 40(2004) no.1, S.21-30

Egghe, L.; Guns, R.; Rousseau, R.; Leuven, K.U.: Erratum (2012) 0.01

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Date: 14. 2.2012 12:53:22

Egghe, L.: On the relation between the association strength and other similarity measures (2010) 0.01

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Date: 19. 6.2010 18:55:40

Egghe, L.: Vector retrieval, fuzzy retrieval and the universal fuzzy IR surface for IR evaluation (2004) 0.01

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Source: Information processing and management. 40(2004) no.4, S.603-618

Egghe, L.; Rousseau, R.: Aging, obsolescence, impact, growth, and utilization : definitions and relations (2000) 0.01

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Date: 8. 9.2000 20:16:40

Egghe, L.: Mathematical theory of the h- and g-index in case of fractional counting of authorship (2008) 0.01

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Date: 27. 7.2008 18:33:40

Egghe, L.: Existence theorem of the quadruple (P, R, F, M) : precision, recall, fallout and miss (2007) 0.01
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Abstract

In an earlier paper [Egghe, L. (2004). A universal method of information retrieval evaluation: the "missing" link M and the universal IR surface. Information Processing and Management, 40, 21-30] we showed that, given an IR system, and if P denotes precision, R recall, F fallout and M miss (re-introduced in the paper mentioned above), we have the following relationship between P, R, F and M: P/(1-P)*(1-R)/R*F/(1-F)*(1-M)/M = 1. In this paper we prove the (more difficult) converse: given any four rational numbers in the interval ]0, 1[ satisfying the above equation, then there exists an IR system such that these four numbers (in any order) are the precision, recall, fallout and miss of this IR system. As a consequence we show that any three rational numbers in ]0, 1[ represent any three measures taken from precision, recall, fallout and miss of a certain IR system. We also show that this result is also true for two numbers instead of three.

Egghe, L.; Rousseau, R.: Averaging and globalising quotients of informetric and scientometric data (1996) 0.01

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Source: Journal of information science. 22(1996) no.3, S.165-170

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