Further axiomatizations of Egghe's g-index

Tsuyoshi Adachi, Takumi Kongo

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We provide three axiomatic characterizations of Egghe's g-index, which measures a researcher's scientific output based on the number of papers the researcher has published and the number of citations of each of the researcher's papers. We formulate six new axioms for indexes, namely, tail independence (TA), square monotonicity (SM), the cap condition (CC), strong square monotonicity (SSM), increasing marginal citations (IMC), and increasing marginal citations+ (IMC+). Along with the two well-known axioms T1 and T2 (Woeginger, 2008a), the g-index is characterized by (i) T1, T2, TA, SM, and CC, (ii) T1, T2, TA, SSM, and IMC, and (iii) T1, TA, SM, and IMC+. Two out of three characterizations are obtained by adding axioms to our new characterization of the class of indexes satisfying T1, T2, and TA, which are defined as generalizations of the g-index. Thus, the remaining four axioms in our first and second characterizations-SM, CC, SSM, and IMC-distinguish the original g-index from other related indexes in the class. Furthermore, the independence of our axioms and that of Woeginger's study is shown.

Original languageEnglish
Pages (from-to)839-844
Number of pages6
JournalJournal of Informetrics
Volume9
Issue number4
DOIs
Publication statusPublished - 2015 Oct 1
Externally publishedYes

Fingerprint

G-index
axiomatization
Citations
Axiomatization
Monotonicity
Axioms
Tail Index
Output

Keywords

  • Axiomatization
  • Citation
  • Egghe's g-index
  • Increasing marginal citation
  • Square monotonicity
  • Tail independence

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation
  • Computer Science Applications
  • Management Science and Operations Research
  • Applied Mathematics

Cite this

Further axiomatizations of Egghe's g-index. / Adachi, Tsuyoshi; Kongo, Takumi.

In: Journal of Informetrics, Vol. 9, No. 4, 01.10.2015, p. 839-844.

Research output: Contribution to journalArticle

Adachi, Tsuyoshi ; Kongo, Takumi. / Further axiomatizations of Egghe's g-index. In: Journal of Informetrics. 2015 ; Vol. 9, No. 4. pp. 839-844.
@article{0651173de229437292398b49ccada560,
title = "Further axiomatizations of Egghe's g-index",
abstract = "We provide three axiomatic characterizations of Egghe's g-index, which measures a researcher's scientific output based on the number of papers the researcher has published and the number of citations of each of the researcher's papers. We formulate six new axioms for indexes, namely, tail independence (TA), square monotonicity (SM), the cap condition (CC), strong square monotonicity (SSM), increasing marginal citations (IMC), and increasing marginal citations+ (IMC+). Along with the two well-known axioms T1 and T2 (Woeginger, 2008a), the g-index is characterized by (i) T1, T2, TA, SM, and CC, (ii) T1, T2, TA, SSM, and IMC, and (iii) T1, TA, SM, and IMC+. Two out of three characterizations are obtained by adding axioms to our new characterization of the class of indexes satisfying T1, T2, and TA, which are defined as generalizations of the g-index. Thus, the remaining four axioms in our first and second characterizations-SM, CC, SSM, and IMC-distinguish the original g-index from other related indexes in the class. Furthermore, the independence of our axioms and that of Woeginger's study is shown.",
keywords = "Axiomatization, Citation, Egghe's g-index, Increasing marginal citation, Square monotonicity, Tail independence",
author = "Tsuyoshi Adachi and Takumi Kongo",
year = "2015",
month = "10",
day = "1",
doi = "10.1016/j.joi.2015.07.001",
language = "English",
volume = "9",
pages = "839--844",
journal = "Journal of Informetrics",
issn = "1751-1577",
publisher = "Elsevier BV",
number = "4",

}

TY - JOUR

T1 - Further axiomatizations of Egghe's g-index

AU - Adachi, Tsuyoshi

AU - Kongo, Takumi

PY - 2015/10/1

Y1 - 2015/10/1

N2 - We provide three axiomatic characterizations of Egghe's g-index, which measures a researcher's scientific output based on the number of papers the researcher has published and the number of citations of each of the researcher's papers. We formulate six new axioms for indexes, namely, tail independence (TA), square monotonicity (SM), the cap condition (CC), strong square monotonicity (SSM), increasing marginal citations (IMC), and increasing marginal citations+ (IMC+). Along with the two well-known axioms T1 and T2 (Woeginger, 2008a), the g-index is characterized by (i) T1, T2, TA, SM, and CC, (ii) T1, T2, TA, SSM, and IMC, and (iii) T1, TA, SM, and IMC+. Two out of three characterizations are obtained by adding axioms to our new characterization of the class of indexes satisfying T1, T2, and TA, which are defined as generalizations of the g-index. Thus, the remaining four axioms in our first and second characterizations-SM, CC, SSM, and IMC-distinguish the original g-index from other related indexes in the class. Furthermore, the independence of our axioms and that of Woeginger's study is shown.

AB - We provide three axiomatic characterizations of Egghe's g-index, which measures a researcher's scientific output based on the number of papers the researcher has published and the number of citations of each of the researcher's papers. We formulate six new axioms for indexes, namely, tail independence (TA), square monotonicity (SM), the cap condition (CC), strong square monotonicity (SSM), increasing marginal citations (IMC), and increasing marginal citations+ (IMC+). Along with the two well-known axioms T1 and T2 (Woeginger, 2008a), the g-index is characterized by (i) T1, T2, TA, SM, and CC, (ii) T1, T2, TA, SSM, and IMC, and (iii) T1, TA, SM, and IMC+. Two out of three characterizations are obtained by adding axioms to our new characterization of the class of indexes satisfying T1, T2, and TA, which are defined as generalizations of the g-index. Thus, the remaining four axioms in our first and second characterizations-SM, CC, SSM, and IMC-distinguish the original g-index from other related indexes in the class. Furthermore, the independence of our axioms and that of Woeginger's study is shown.

KW - Axiomatization

KW - Citation

KW - Egghe's g-index

KW - Increasing marginal citation

KW - Square monotonicity

KW - Tail independence

UR - http://www.scopus.com/inward/record.url?scp=84941208808&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84941208808&partnerID=8YFLogxK

U2 - 10.1016/j.joi.2015.07.001

DO - 10.1016/j.joi.2015.07.001

M3 - Article

AN - SCOPUS:84941208808

VL - 9

SP - 839

EP - 844

JO - Journal of Informetrics

JF - Journal of Informetrics

SN - 1751-1577

IS - 4

ER -