Some applications of fuzzy measures with coding theory

Autores:
Dwivedi, Aakanksha
Saraswat, Ram Naresh
Tipo de recurso:
Article of journal
Fecha de publicación:
2025
Institución:
Universidad Pedagógica y Tecnológica de Colombia
Repositorio:
RiUPTC: Repositorio Institucional UPTC
Idioma:
OAI Identifier:
oai:repositorio.uptc.edu.co:001/20146
Acceso en línea:
https://repositorio.uptc.edu.co/handle/001/20146
https://doi.org/10.19053/uptc.01211048.17913
Palabra clave:
Fuzzy entropy
Fuzzy mean codeword length
Monotonic function
Weighted mean
Entropía difusa
longitud media difusa de la palabra clave
media ponderada
función monótona
Rights
openAccess
License
Aakanksha Dwivedi, Ram Naresh Saraswat - 2025
id REPOUPTC2_5b095e8002360a3ee74a2201808ea171
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repository_id_str
dc.title.es-ES.fl_str_mv Some applications of fuzzy measures with coding theory
title Some applications of fuzzy measures with coding theory
spellingShingle Some applications of fuzzy measures with coding theory
Fuzzy entropy
Fuzzy mean codeword length
Monotonic function
Weighted mean
Entropía difusa
longitud media difusa de la palabra clave
media ponderada
función monótona
title_short Some applications of fuzzy measures with coding theory
title_full Some applications of fuzzy measures with coding theory
title_fullStr Some applications of fuzzy measures with coding theory
title_full_unstemmed Some applications of fuzzy measures with coding theory
title_sort Some applications of fuzzy measures with coding theory
dc.creator.fl_str_mv Dwivedi, Aakanksha
Saraswat, Ram Naresh
dc.contributor.author.eng.fl_str_mv Dwivedi, Aakanksha
Saraswat, Ram Naresh
dc.subject.none.fl_str_mv Fuzzy entropy
Fuzzy mean codeword length
Monotonic function
Weighted mean
Entropía difusa
longitud media difusa de la palabra clave
media ponderada
función monótona
topic Fuzzy entropy
Fuzzy mean codeword length
Monotonic function
Weighted mean
Entropía difusa
longitud media difusa de la palabra clave
media ponderada
función monótona
publishDate 2025
dc.date.accessioned.none.fl_str_mv 2025-01-13 00:00:00
2026-04-16T17:28:23Z
dc.date.available.none.fl_str_mv 2025-01-13 00:00:00
dc.date.issued.none.fl_str_mv 2025-01-13
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.local.eng.fl_str_mv Journal article
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dc.type.content.none.fl_str_mv Text
dc.type.coarversion.none.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
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dc.identifier.uri.none.fl_str_mv https://repositorio.uptc.edu.co/handle/001/20146
dc.identifier.doi.none.fl_str_mv 10.19053/uptc.01211048.17913
dc.identifier.eissn.none.fl_str_mv 2422-3220
dc.identifier.url.none.fl_str_mv https://doi.org/10.19053/uptc.01211048.17913
identifier_str_mv 0121-1048
10.19053/uptc.01211048.17913
2422-3220
url https://repositorio.uptc.edu.co/handle/001/20146
https://doi.org/10.19053/uptc.01211048.17913
dc.language.iso.none.fl_str_mv
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dc.relation.references.none.fl_str_mv Belis, M. & Guiasu, S. (1968). A quantitative qualitative measure of information in cybernetic systems. IEEE Transactions on Information Theory, 14, 593-594. Campbell, L.L. (1965). A coding theorem and Renyi's entropy. Information and control, 8: 423-429. Frumin, L. L., Gelash, A. A. & Turitsyn, S. K. (2017). New approaches to coding information using inverse scattering transform. Phys. Rev. Lett., 118(22), 5 pp. Germe M.M., Demamu J. and Alaba B.A. (2023). Updates on Properties of Hamming Distance of Binary Fuzzy Codes Over Fuzzy Vector Spaces and Their Application in Decoding Process. Fuzzy Information and Engineering, 15 (4), 335-346 Germe M.M., Demamu J. and Alaba B.A. (2023). Binary Fuzzy Codes and Some Properties of Hamming Distance of Fuzzy Codes. 15, 26-35 Guiasu, S. & Picard, C.F. (1971). Borne in ferictur dela longuerur utile de certains codes. Comptes Rendus Mathematique Academic des Sciences Paris, 273, 248-251. Gupta R. and Kumar S. (2022). A new generalization of Renyi’s entropy of order β with coding theory in fuzzy environment. AIP Conference Proceedings 2555(1):040003 Gurdial & Pessoa, F. (1977). On useful information of order a. Journal of Combinatorics Information and System Sciences, 2, 158-162. Hayashi, M. (2019). Universal channel coding for general output alphabet. IEEE Trans. Inform. Theory, 65 (1), 302–321. Joshi, R. & Kumar, S. (2018). A new weighted (α, β)-norm information measure with application in coding theory. Physica A: Statistical Mechanics and its Applications, 510(C), 538-551. Kapur, J.N. (1967). Generalized entropy of order a and type b. Mathematics Seminar, 4, 79-84. Kapur, J.N. (1986). Four families of measures of entropy. Indian Journal of Pure and Applied Mathematics, 17, 429-449. Kapur, J.N. (1994). Measures of Information and their Applications. Wiley Eastern, New York. Kapur, J.N. (1998). Entropy and Coding. Mathematical Sciences Trust Society, New Delhi. Kawan, C. & Yüksel, S. (2018). On optimal coding of non-linear dynamical systems. IEEE Trans. Inform. Theory, 64(10), 6816–6829. Kraft, L.G. (1949). A Device for Quantizing Grouping and Coding Amplitude Modulated Pulses. M.S. Thesis, Electrical Engineering Department, MIT. Lee, Si-Hyeon & Chung, Sae-Young (2018). A unified random coding bound. IEEE Trans. Inform. Theory,64 (10), 6779–6802. Ouahada, K., & Ferreira, H.C. (2019). New Distance Concept and Graph Theory Approach for Certain Coding Techniques Design and Analysis. Communications in Applied and Industrial Mathematics, 10(1), 53-70. Renyi, A. (1961). On measures of entropy and information. Proceedings 4th Berkeley Symposium on Mathematical Statistics and Probability, 1, 547-561. Saraswat R. N. & Umar A. (2021). “Some New coding Information Inequalities” in the book title “Intelligent System Algorithms and Applications in Science and Technology”. Apple Academic Press, Taylor-Francis Group Chapter 22, ISBN 9781774630211 Singh S. and Sharma S. (2019). On Generalized Fuzzy Entropy and Fuzzy Divergence Measure with Applications. International Journal of Fuzzy System Applications, 8(3) Umar A. & Saraswat R.N. (2022). Decision-Making in Machine Learning Using Novel Picture Fuzzy Divergence Measure. Neural Computing and Applications, 34(1), pp. 457–475. DOI: 10.2174/2666255813666200224093221. Umar A. & Saraswat R.N. (2024). Decision making using novel Fermatean fuzzy divergence measure and weighted aggregation operators. Journal of Ambient Intelligence and Humanized Computing, 15(6), pp. 2827–2838.
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dc.relation.citationstartpage.none.fl_str_mv e17913
dc.relation.citationvolume.eng.fl_str_mv 25
dc.relation.ispartofjournal.eng.fl_str_mv Inquietud Empresarial
dc.relation.bitstream.none.fl_str_mv https://revistas.uptc.edu.co/index.php/inquietud_empresarial/article/download/17913/15229
dc.relation.citationedition.eng.fl_str_mv Núm. 1 , Año 2025 : Inquietud Empresarial 25(1) Enero-Junio
dc.rights.none.fl_str_mv Aakanksha Dwivedi, Ram Naresh Saraswat - 2025
dc.rights.uri.none.fl_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0/
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institution Universidad Pedagógica y Tecnológica de Colombia
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spelling Dwivedi, AakankshaSaraswat, Ram Naresh2025-01-13 00:00:002026-04-16T17:28:23Z2025-01-13 00:00:002025-01-130121-1048https://repositorio.uptc.edu.co/handle/001/2014610.19053/uptc.01211048.179132422-3220https://doi.org/10.19053/uptc.01211048.17913application/pdfUnidad Editorial UPTCAakanksha Dwivedi, Ram Naresh Saraswat - 2025https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.http://purl.org/coar/access_right/c_abf2https://revistas.uptc.edu.co/index.php/inquietud_empresarial/article/view/17913Fuzzy entropyFuzzy mean codeword lengthMonotonic functionWeighted meanEntropía difusalongitud media difusa de la palabra clavemedia ponderadafunción monótonaSome applications of fuzzy measures with coding theoryArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1info:eu-repo/semantics/articleJournal articleinfo:eu-repo/semantics/publishedVersionTexthttp://purl.org/coar/version/c_970fb48d4fbd8a85Belis, M. & Guiasu, S. (1968). A quantitative qualitative measure of information in cybernetic systems. IEEE Transactions on Information Theory, 14, 593-594. Campbell, L.L. (1965). A coding theorem and Renyi's entropy. Information and control, 8: 423-429. Frumin, L. L., Gelash, A. A. & Turitsyn, S. K. (2017). New approaches to coding information using inverse scattering transform. Phys. Rev. Lett., 118(22), 5 pp. Germe M.M., Demamu J. and Alaba B.A. (2023). Updates on Properties of Hamming Distance of Binary Fuzzy Codes Over Fuzzy Vector Spaces and Their Application in Decoding Process. Fuzzy Information and Engineering, 15 (4), 335-346 Germe M.M., Demamu J. and Alaba B.A. (2023). Binary Fuzzy Codes and Some Properties of Hamming Distance of Fuzzy Codes. 15, 26-35 Guiasu, S. & Picard, C.F. (1971). Borne in ferictur dela longuerur utile de certains codes. Comptes Rendus Mathematique Academic des Sciences Paris, 273, 248-251. Gupta R. and Kumar S. (2022). A new generalization of Renyi’s entropy of order β with coding theory in fuzzy environment. AIP Conference Proceedings 2555(1):040003 Gurdial & Pessoa, F. (1977). On useful information of order a. Journal of Combinatorics Information and System Sciences, 2, 158-162. Hayashi, M. (2019). Universal channel coding for general output alphabet. IEEE Trans. Inform. Theory, 65 (1), 302–321. Joshi, R. & Kumar, S. (2018). A new weighted (α, β)-norm information measure with application in coding theory. Physica A: Statistical Mechanics and its Applications, 510(C), 538-551. Kapur, J.N. (1967). Generalized entropy of order a and type b. Mathematics Seminar, 4, 79-84. Kapur, J.N. (1986). Four families of measures of entropy. Indian Journal of Pure and Applied Mathematics, 17, 429-449. Kapur, J.N. (1994). Measures of Information and their Applications. Wiley Eastern, New York. Kapur, J.N. (1998). Entropy and Coding. Mathematical Sciences Trust Society, New Delhi. Kawan, C. & Yüksel, S. (2018). On optimal coding of non-linear dynamical systems. IEEE Trans. Inform. Theory, 64(10), 6816–6829. Kraft, L.G. (1949). A Device for Quantizing Grouping and Coding Amplitude Modulated Pulses. M.S. Thesis, Electrical Engineering Department, MIT. Lee, Si-Hyeon & Chung, Sae-Young (2018). A unified random coding bound. IEEE Trans. Inform. Theory,64 (10), 6779–6802. Ouahada, K., & Ferreira, H.C. (2019). New Distance Concept and Graph Theory Approach for Certain Coding Techniques Design and Analysis. Communications in Applied and Industrial Mathematics, 10(1), 53-70. Renyi, A. (1961). On measures of entropy and information. Proceedings 4th Berkeley Symposium on Mathematical Statistics and Probability, 1, 547-561. Saraswat R. N. & Umar A. (2021). “Some New coding Information Inequalities” in the book title “Intelligent System Algorithms and Applications in Science and Technology”. Apple Academic Press, Taylor-Francis Group Chapter 22, ISBN 9781774630211 Singh S. and Sharma S. (2019). On Generalized Fuzzy Entropy and Fuzzy Divergence Measure with Applications. International Journal of Fuzzy System Applications, 8(3) Umar A. & Saraswat R.N. (2022). Decision-Making in Machine Learning Using Novel Picture Fuzzy Divergence Measure. Neural Computing and Applications, 34(1), pp. 457–475. DOI: 10.2174/2666255813666200224093221. Umar A. & Saraswat R.N. (2024). Decision making using novel Fermatean fuzzy divergence measure and weighted aggregation operators. Journal of Ambient Intelligence and Humanized Computing, 15(6), pp. 2827–2838.e179131e1791325Inquietud Empresarialhttps://revistas.uptc.edu.co/index.php/inquietud_empresarial/article/download/17913/15229Núm. 1 , Año 2025 : Inquietud Empresarial 25(1) Enero-JunioPublicationOREORE.xmltext/xml2534https://repositorio.uptc.edu.co/bitstreams/c213d0ad-63e4-48d5-a166-2980ae2c3434/download705f0db0e70848976edb60c817101c94MD51falseAnonymousREAD001/20146oai:repositorio.uptc.edu.co:001/201462026-10-30 06:39:16.75https://creativecommons.org/licenses/by-nc-nd/4.0/metadata.onlyhttps://repositorio.uptc.edu.coRepositorio Institucional UPTCbdigital@metabiblioteca.com