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Pregled bibliografske jedinice broj: 1246153

A New Insight into Entropy Based on the Fuzzy Operators, Applied to Useful Information Extraction from Noisy Time-Frequency Distributions


Dombi, József; Vranković Lacković, Ana; Lerga, Jonatan
A New Insight into Entropy Based on the Fuzzy Operators, Applied to Useful Information Extraction from Noisy Time-Frequency Distributions // Mathematics, 11 (2023), 3; 505, 24 doi:10.3390/math11030505 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 1246153 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
A New Insight into Entropy Based on the Fuzzy Operators, Applied to Useful Information Extraction from Noisy Time-Frequency Distributions

Autori
Dombi, József ; Vranković Lacković, Ana ; Lerga, Jonatan

Izvornik
Mathematics (2227-7390) 11 (2023), 3; 505, 24

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Shannon entropy ; Rényi entropy ; fuzzy entropy ; Dombi operator ; time-frequency distributions ; extraction of useful information

Sažetak
In this paper, we study the connections between generalized mean operators and entropies, where the mean value operators are related to the strictly monotone logical operators of fuzzy theory. Here, we propose a new entropy measure based on the family of generalized Dombi operators. Namely, this measure is obtained by using the Dombi operator as a generator function in the general solution of the bisymmetric functional equation. We show how the proposed entropy can be used in a fuzzy system where the performance is consistent in choosing the best alternative in the Multiple Attribute Decision- Making Problem. This newly defined entropy was also applied to the problem of extracting useful information from time-frequency representations of noisy, nonstationary, and multicomponent signals. The denoising results were compared to Shannon and Rényi entropies. The proposed entropy measure is shown to significantly outperform the competing ones in terms of denoising classification accuracy and the F1-score due to its sensitivity to small changes in the probability distribution.

Izvorni jezik
Engleski

Znanstvena područja
Računarstvo



POVEZANOST RADA


Projekti:
IP-2018-01-3739 - Sustav potpore odlučivanju za zeleniju i sigurniju plovidbu brodova (DESSERT) (Prpić-Oršić, Jasna, HRZZ - 2018-01) ( CroRIS)
MINGO-ESIF-KK.01.2.1.02.0179 - ABsistemDCiCloud (ABsistemDCiCloud) (Lerga, Jonatan, MINGO - Fond: Europski fond za regionalni razvoj Program: OP Konkurentnost i kohezija 2014. - 2020. Jačanje gospodarstva primjenom istraživanja i inovacija Područje: IRI - Povećanje razvoja novih proizvoda i usluga koji proizlaze iz aktivnosti istraživanja i raz) ( CroRIS)
VLASTITA-SREDSTVA-uniri-tehnic-17 - Računalom potpomognuta digitalna analiza i klasifikacija signala (UNIRI-TEHNIC-18-17) (Lerga, Jonatan, VLASTITA-SREDSTVA - UNIRI2018) ( CroRIS)
NadSve-Sveučilište u Rijeci-uniri-tehnic-18-15 - Razvoj postupaka temeljenih na strojnom učenju za prepoznavanje bolesti i ozljeda iz medicinskih slika (Štajduhar, Ivan, NadSve ) ( CroRIS)

Ustanove:
Tehnički fakultet, Rijeka

Profili:

Avatar Url Ana Vranković Lacković (autor)

Avatar Url Jonatan Lerga (autor)

Poveznice na cjeloviti tekst rada:

doi www.mdpi.com

Citiraj ovu publikaciju:

Dombi, József; Vranković Lacković, Ana; Lerga, Jonatan
A New Insight into Entropy Based on the Fuzzy Operators, Applied to Useful Information Extraction from Noisy Time-Frequency Distributions // Mathematics, 11 (2023), 3; 505, 24 doi:10.3390/math11030505 (međunarodna recenzija, članak, znanstveni)
Dombi, J., Vranković Lacković, A. & Lerga, J. (2023) A New Insight into Entropy Based on the Fuzzy Operators, Applied to Useful Information Extraction from Noisy Time-Frequency Distributions. Mathematics, 11 (3), 505, 24 doi:10.3390/math11030505.
@article{article, author = {Dombi, J\'{o}zsef and Vrankovi\'{c} Lackovi\'{c}, Ana and Lerga, Jonatan}, year = {2023}, pages = {24}, DOI = {10.3390/math11030505}, chapter = {505}, keywords = {Shannon entropy, R\'{e}nyi entropy, fuzzy entropy, Dombi operator, time-frequency distributions, extraction of useful information}, journal = {Mathematics}, doi = {10.3390/math11030505}, volume = {11}, number = {3}, issn = {2227-7390}, title = {A New Insight into Entropy Based on the Fuzzy Operators, Applied to Useful Information Extraction from Noisy Time-Frequency Distributions}, keyword = {Shannon entropy, R\'{e}nyi entropy, fuzzy entropy, Dombi operator, time-frequency distributions, extraction of useful information}, chapternumber = {505} }
@article{article, author = {Dombi, J\'{o}zsef and Vrankovi\'{c} Lackovi\'{c}, Ana and Lerga, Jonatan}, year = {2023}, pages = {24}, DOI = {10.3390/math11030505}, chapter = {505}, keywords = {Shannon entropy, R\'{e}nyi entropy, fuzzy entropy, Dombi operator, time-frequency distributions, extraction of useful information}, journal = {Mathematics}, doi = {10.3390/math11030505}, volume = {11}, number = {3}, issn = {2227-7390}, title = {A New Insight into Entropy Based on the Fuzzy Operators, Applied to Useful Information Extraction from Noisy Time-Frequency Distributions}, keyword = {Shannon entropy, R\'{e}nyi entropy, fuzzy entropy, Dombi operator, time-frequency distributions, extraction of useful information}, chapternumber = {505} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Citati:





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