Logical entropy on effect algebras with the Riesz decomposition property
. In this study, the notion of logical entropy is generalized for the case when the considered probability space is an effect algebra with the Riesz decomposition property. We define the logical entropy and conditional logical entropy of finite partitions in an effect algebra with the Riesz decompos...
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| Veröffentlicht in: | European physical journal plus 2018-07, Vol.133 (7), p.286, Article 286 |
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| creator | Eslami Giski, Zahra Ebrahimzadeh, Abolfazl Markechová, Dagmar |
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In this study, the notion of logical entropy is generalized for the case when the considered probability space is an effect algebra with the Riesz decomposition property. We define the logical entropy and conditional logical entropy of finite partitions in an effect algebra with the Riesz decomposition property and prove the basic properties of these measures. Furthermore, we introduce the concepts of logical cross entropy and logical divergence and discuss their desirable properties. |
| doi_str_mv | 10.1140/epjp/i2018-12107-x |
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In this study, the notion of logical entropy is generalized for the case when the considered probability space is an effect algebra with the Riesz decomposition property. We define the logical entropy and conditional logical entropy of finite partitions in an effect algebra with the Riesz decomposition property and prove the basic properties of these measures. Furthermore, we introduce the concepts of logical cross entropy and logical divergence and discuss their desirable properties.</description><identifier>ISSN: 2190-5444</identifier><identifier>EISSN: 2190-5444</identifier><identifier>DOI: 10.1140/epjp/i2018-12107-x</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Algebra ; Applied and Technical Physics ; Atomic ; Complex Systems ; Condensed Matter Physics ; Decomposition ; Dynamical systems ; Entropy ; Entropy (Information theory) ; Information theory ; Mathematical and Computational Physics ; Molecular ; Optical and Plasma Physics ; Physics ; Physics and Astronomy ; Probability distribution ; Regular Article ; Theoretical</subject><ispartof>European physical journal plus, 2018-07, Vol.133 (7), p.286, Article 286</ispartof><rights>Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018</rights><rights>Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-c1c5e224d23645c38dc8a38e4ffea58276c1793d8a0cc3cd7e900ca653a39c173</citedby><cites>FETCH-LOGICAL-c319t-c1c5e224d23645c38dc8a38e4ffea58276c1793d8a0cc3cd7e900ca653a39c173</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1140/epjp/i2018-12107-x$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2919516832?pq-origsite=primo$$EHTML$$P50$$Gproquest$$H</linktohtml><link.rule.ids>314,780,784,21388,27924,27925,33744,41488,42557,43805,51319,64385,64389,72469</link.rule.ids></links><search><creatorcontrib>Eslami Giski, Zahra</creatorcontrib><creatorcontrib>Ebrahimzadeh, Abolfazl</creatorcontrib><creatorcontrib>Markechová, Dagmar</creatorcontrib><title>Logical entropy on effect algebras with the Riesz decomposition property</title><title>European physical journal plus</title><addtitle>Eur. Phys. J. Plus</addtitle><description>.
In this study, the notion of logical entropy is generalized for the case when the considered probability space is an effect algebra with the Riesz decomposition property. We define the logical entropy and conditional logical entropy of finite partitions in an effect algebra with the Riesz decomposition property and prove the basic properties of these measures. Furthermore, we introduce the concepts of logical cross entropy and logical divergence and discuss their desirable properties.</description><subject>Algebra</subject><subject>Applied and Technical Physics</subject><subject>Atomic</subject><subject>Complex Systems</subject><subject>Condensed Matter Physics</subject><subject>Decomposition</subject><subject>Dynamical systems</subject><subject>Entropy</subject><subject>Entropy (Information theory)</subject><subject>Information theory</subject><subject>Mathematical and Computational Physics</subject><subject>Molecular</subject><subject>Optical and Plasma Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Probability distribution</subject><subject>Regular Article</subject><subject>Theoretical</subject><issn>2190-5444</issn><issn>2190-5444</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp9kE9LAzEQxYMoWGq_gKeA57X5t7vJUYpaoSCInkPMzrYp7WZNUuz66U1bQU_OZQbm_d6Dh9A1JbeUCjKFft1PHSNUFpRRUhf7MzRiVJGiFEKc_7kv0STGNckjFBVKjNB84ZfOmg2GLgXfD9h3GNoWbMJms4T3YCL-dGmF0wrwi4P4hRuwftv76JLL4j5TENJwhS5as4kw-dlj9PZw_zqbF4vnx6fZ3aKwnKpUWGpLYEw0jFeitFw2VhouQeRMU0pWV5bWijfSEGu5bWpQhFhTldxwlV98jG5Ovjn4Ywcx6bXfhS5HaqaoKmklOcsqdlLZ4GMM0Oo-uK0Jg6ZEH0rTh9L0sTR9LE3vM8RPUMzibgnh1_of6htQ7XJ1</recordid><startdate>20180701</startdate><enddate>20180701</enddate><creator>Eslami Giski, Zahra</creator><creator>Ebrahimzadeh, Abolfazl</creator><creator>Markechová, Dagmar</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope></search><sort><creationdate>20180701</creationdate><title>Logical entropy on effect algebras with the Riesz decomposition property</title><author>Eslami Giski, Zahra ; Ebrahimzadeh, Abolfazl ; Markechová, Dagmar</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-c1c5e224d23645c38dc8a38e4ffea58276c1793d8a0cc3cd7e900ca653a39c173</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Algebra</topic><topic>Applied and Technical Physics</topic><topic>Atomic</topic><topic>Complex Systems</topic><topic>Condensed Matter Physics</topic><topic>Decomposition</topic><topic>Dynamical systems</topic><topic>Entropy</topic><topic>Entropy (Information theory)</topic><topic>Information theory</topic><topic>Mathematical and Computational Physics</topic><topic>Molecular</topic><topic>Optical and Plasma Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Probability distribution</topic><topic>Regular Article</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Eslami Giski, Zahra</creatorcontrib><creatorcontrib>Ebrahimzadeh, Abolfazl</creatorcontrib><creatorcontrib>Markechová, Dagmar</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>Natural Science Collection</collection><collection>Earth, Atmospheric & Aquatic Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Earth, Atmospheric & Aquatic Science Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><jtitle>European physical journal plus</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Eslami Giski, Zahra</au><au>Ebrahimzadeh, Abolfazl</au><au>Markechová, Dagmar</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Logical entropy on effect algebras with the Riesz decomposition property</atitle><jtitle>European physical journal plus</jtitle><stitle>Eur. 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In this study, the notion of logical entropy is generalized for the case when the considered probability space is an effect algebra with the Riesz decomposition property. We define the logical entropy and conditional logical entropy of finite partitions in an effect algebra with the Riesz decomposition property and prove the basic properties of these measures. Furthermore, we introduce the concepts of logical cross entropy and logical divergence and discuss their desirable properties.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1140/epjp/i2018-12107-x</doi></addata></record> |
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| subjects | Algebra Applied and Technical Physics Atomic Complex Systems Condensed Matter Physics Decomposition Dynamical systems Entropy Entropy (Information theory) Information theory Mathematical and Computational Physics Molecular Optical and Plasma Physics Physics Physics and Astronomy Probability distribution Regular Article Theoretical |
| title | Logical entropy on effect algebras with the Riesz decomposition property |
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