On Scatters of Probability Distributions and OWA Weights Collections
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F19%3AA20021S7" target="_blank" >RIV/61988987:17610/19:A20021S7 - isvavai.cz</a>
Result on the web
<a href="https://www.worldscientific.com/doi/10.1142/S021848851950034X" target="_blank" >https://www.worldscientific.com/doi/10.1142/S021848851950034X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S021848851950034X" target="_blank" >10.1142/S021848851950034X</a>
Alternative languages
Result language
angličtina
Original language name
On Scatters of Probability Distributions and OWA Weights Collections
Original language description
This study proposes a novel concept of Scatter for probability distribution (on [0,1]). The proposed measurement is different from famous Shannon Entropy since it considers [0,1] as a chain instead of a normal set. The measurement works easily and reasonably in practice and conforms to human intuition. Some interesting properties like symmetricity, translation invariance, weak convergence and concavity of this new measurement are also obtained. The measurement also has good potential in more theoretical studies and applications. The novel concept can also be suitably adapted for discrete OWA operators and RIM quantifiers. We then propose a new measurement, the Preference Scatter, with its normalized form, the Normalized Preference Scatter, for OWA weights collections. We analyze its reasonability as a new measurement for OWA weights collections with comparisons to some other measurements like Orness, Normalized Dispersion and Hurwicz Degree of OWA operators. In addition, the corresponding Preference Scatter for RIM quantifiers is defined.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
ISSN
0218-4885
e-ISSN
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Volume of the periodical
27
Issue of the periodical within the volume
5
Country of publishing house
SG - SINGAPORE
Number of pages
16
Pages from-to
773-788
UT code for WoS article
000489071100004
EID of the result in the Scopus database
2-s2.0-85073096663