Some Generalized Integrals Applied in Scientometrics and Related Evaluation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F21%3A73609817" target="_blank" >RIV/61989592:15310/21:73609817 - isvavai.cz</a>
Result on the web
<a href="https://obd.upol.cz/id_publ/333189704" target="_blank" >https://obd.upol.cz/id_publ/333189704</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/TETCI.2020.3005736" target="_blank" >10.1109/TETCI.2020.3005736</a>

Result language
angličtina
Original language name
Some Generalized Integrals Applied in Scientometrics and Related Evaluation
Original language description
In this study, some examples show that Hirsch's index (h-index) usually has some limitation in evaluations. In order to provide more choices and diversities for scientometrics evaluation index, this study discusses four types of extended indexes. We firstly use a type of variation of Cognitive Integral to serve as a new generalized Hirsch's index, called Cognitive Hirsch's index, and analyze some of its mathematical properties. Secondly, by introducing Reference Function generalized Integral, we further generalize and extend Cognitive Hirsch's index. Next, this study also proposes to transform any citation sequence into a unique 0-1 function. Subsequently, based on different shapes, i.e., systems of some special 0-1 functions, this paper then proposes a novel index which is measured by counting the extent to which a citation sequence's 0-1 function can cover some given function systems. Lastly, still based on the 0-1 functions, we present a new index by using some predetermined distributions.
Czech name
—
Czech description
—

Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
—
OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project
<a href="/en/project/GA18-06915S" target="_blank" >GA18-06915S: New approaches to aggregation operators in analysis and processing of data</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
IEEE TRANSACTIONS ON EMERGING TOPICS IN COMPUTATIONAL INTELLIGENCE
ISSN
2471-285X
e-ISSN
—
Volume of the periodical
5
Issue of the periodical within the volume
5
Country of publishing house
US - UNITED STATES
Number of pages
8
Pages from-to
846-853
UT code for WoS article
000700388500011
EID of the result in the Scopus database
2-s2.0-85096960707

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