Principal Component Analysis and Factor Analysis for an Atanassov IF data set

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28150%2F21%3A63532738" target="_blank" >RIV/70883521:28150/21:63532738 - isvavai.cz</a>

Result on the web

<a href="https://www.mdpi.com/2227-7390/9/17/2067" target="_blank" >https://www.mdpi.com/2227-7390/9/17/2067</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/math9172067" target="_blank" >10.3390/math9172067</a>

Result language

angličtina

Original language name

Principal Component Analysis and Factor Analysis for an Atanassov IF data set

Original language description

The present contribution is devoted to the theory of fuzzy sets, especially Atanassov Intu-itionistic Fuzzy sets (IF sets) and their use in practice. We define the correlation between IF sets and the correlation coefficient, and we bring a new perspective to solving the problem of data file reduc-tion in case sets where the input data come from IF sets. We present specific applications of the two best-known methods, the Principal Component Analysis and Factor Analysis, used to solve the problem of reducing the size of a data file. We examine input data from IF sets from three perspec-tives: through membership function, non-membership function and hesitation margin. This examination better reflects the character of the input data and also better captures and preserves the information that the input data carries. In the article, we also present and solve a specific example from practice where we show the behavior of these methods on data from IF sets. The example is solved using R programming language, which is useful for statistical analysis of data and their graphical representation.

Czech name

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Czech description

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Type

J_SC - Article in a specialist periodical, which is included in the SCOPUS database

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

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Continuities

N - Vyzkumna aktivita podporovana z neverejnych zdroju

Publication year

2021

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematics

ISSN

2227-7390

e-ISSN

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Volume of the periodical

9

Issue of the periodical within the volume

17

Country of publishing house

CH - SWITZERLAND

Number of pages

13

Pages from-to

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UT code for WoS article

000694400900001

EID of the result in the Scopus database

2-s2.0-85114042655