Fuzzy relational equations - Min-Goguen implication
An algorithm for solving Min-Goguen fuzzy linear systems of equations is presented in this paper. Solving linear systems of equations is subject of great scientific interest. The authors have developed fast an efficient algorithms over several algebras. Here we present, relatively simple, fast and e...
Saved in:
| Published in | AIP conference proceedings Vol. 2505; no. 1 |
|---|---|
| Main Authors | , , |
| Format | Journal Article Conference Proceeding |
| Language | English |
| Published |
Melville
American Institute of Physics
06.09.2022
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 0094-243X 1935-0465 1551-7616 1551-7616 |
| DOI | 10.1063/5.0103030 |
Cover
| Abstract | An algorithm for solving Min-Goguen fuzzy linear systems of equations is presented in this paper. Solving linear systems of equations is subject of great scientific interest. The authors have developed fast an efficient algorithms over several algebras. Here we present, relatively simple, fast and efficient algorithm to solve fuzzy linear systems of equations for Min-Goguen algebra, logically backed by previously developed by the authors algorithms in max-min and min-max algebras. |
|---|---|
| AbstractList | An algorithm for solving Min-Goguen fuzzy linear systems of equations is presented in this paper. Solving linear systems of equations is subject of great scientific interest. The authors have developed fast an efficient algorithms over several algebras. Here we present, relatively simple, fast and efficient algorithm to solve fuzzy linear systems of equations for Min-Goguen algebra, logically backed by previously developed by the authors algorithms in max-min and min-max algebras. |
| Author | Zaharieva, Galina Zahariev, Zlatko Peeva, Ketty |
| Author_xml | – sequence: 1 givenname: Zlatko surname: Zahariev fullname: Zahariev, Zlatko organization: Faculty of Applied Mathematics, Technical University of Sofia, Sofia 1000, Bulgaria – sequence: 2 givenname: Galina surname: Zaharieva fullname: Zaharieva, Galina email: gpantaleeva@gmail.com organization: Faculty of Applied Mathematics, Technical University of Sofia, Sofia 1000, Bulgaria – sequence: 3 givenname: Ketty surname: Peeva fullname: Peeva, Ketty email: kgp@tu-sofia.bg organization: Faculty of Applied Mathematics, Technical University of Sofia, Sofia 1000, Bulgaria |
| BookMark | eNp9j89LwzAYhoNMsJse_A8K3oTML82v5ijDTWHiRcFbyNpUMrK0a1ak--ut3cCbfIfvhfflgWeKJqEOFqFbAnMCgj7wORCgw12ghHBOsBRETFACoBjOGP28QtMYtwCZkjJPEF12x2Ofttabg6uD8andd2OMKU5fXcCr-quzIXW7xrtibK7RZWV8tDfnP0Mfy6f3xTNev61eFo9r3BCRA6YyhzIzpdpUAriwpRSccrFhxGbG2CEpVYmc5kyBMJxRljFjFRQFl4UBSmfo_sTtQmP6b-O9blq3M22vCehfXc31WXcY353GTVvvOxsPelt37SAUdSYJACE5sD9kLNxhlPkH-QP3aWCh |
| CODEN | APCPCS |
| ContentType | Journal Article Conference Proceeding |
| Copyright | Author(s) 2022 Author(s). Published by AIP Publishing. |
| Copyright_xml | – notice: Author(s) – notice: 2022 Author(s). Published by AIP Publishing. |
| DBID | 8FD H8D L7M ADTOC UNPAY |
| DOI | 10.1063/5.0103030 |
| DatabaseName | Technology Research Database Aerospace Database Advanced Technologies Database with Aerospace Unpaywall for CDI: Periodical Content Unpaywall |
| DatabaseTitle | Technology Research Database Aerospace Database Advanced Technologies Database with Aerospace |
| DatabaseTitleList | Technology Research Database |
| Database_xml | – sequence: 1 dbid: UNPAY name: Unpaywall url: https://proxy.k.utb.cz/login?url=https://unpaywall.org/ sourceTypes: Open Access Repository |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Physics |
| EISSN | 1551-7616 |
| Editor | Pasheva, Vesela Popivanov, Nedyu Venkov, George |
| Editor_xml | – sequence: 1 givenname: Vesela surname: Pasheva fullname: Pasheva, Vesela organization: Technical University of Sofia – sequence: 2 givenname: Nedyu surname: Popivanov fullname: Popivanov, Nedyu organization: Sofia University – sequence: 3 givenname: George surname: Venkov fullname: Venkov, George organization: Technical University of Sofia |
| ExternalDocumentID | 10.1063/5.0103030 acp |
| Genre | Conference Proceeding |
| GroupedDBID | -~X 23M 5GY AAAAW AABDS AAEUA AAPUP AAYIH ABJNI ACBRY ACZLF ADCTM AEJMO AFATG AFHCQ AGKCL AGLKD AGMXG AGTJO AHSDT AJJCW ALEPV ALMA_UNASSIGNED_HOLDINGS ATXIE AWQPM BPZLN F5P FDOHQ FFFMQ HAM M71 M73 RIP RQS SJN ~02 8FD ABJGX ADMLS H8D L7M 0ZJ ADTOC J23 NEUPN RDFOP UNPAY |
| ID | FETCH-LOGICAL-p1680-3780d2ad9bf6056ed765356b41e2aae56b99f68384906a543424ae90cc57ca033 |
| IEDL.DBID | UNPAY |
| ISSN | 0094-243X 1935-0465 1551-7616 |
| IngestDate | Tue Aug 19 23:20:19 EDT 2025 Mon Jun 30 05:43:50 EDT 2025 Fri Jun 21 00:30:08 EDT 2024 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Language | English |
| License | 0094-243X/2022/2505/120004/11/$30.00 Published by AIP Publishing. |
| LinkModel | DirectLink |
| MeetingName | APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE’21): Proceedings of the 47th International Conference “Applications of Mathematics in Engineering and Economics” |
| MergedId | FETCHMERGED-LOGICAL-p1680-3780d2ad9bf6056ed765356b41e2aae56b99f68384906a543424ae90cc57ca033 |
| Notes | ObjectType-Conference Proceeding-1 SourceType-Conference Papers & Proceedings-1 content type line 21 |
| OpenAccessLink | https://proxy.k.utb.cz/login?url=https://aip.scitation.org/doi/pdf/10.1063/5.0103030 |
| PQID | 2710011804 |
| PQPubID | 2050672 |
| PageCount | 11 |
| ParticipantIDs | scitation_primary_10_1063_5_0103030 proquest_journals_2710011804 unpaywall_primary_10_1063_5_0103030 |
| PublicationCentury | 2000 |
| PublicationDate | 20220906 |
| PublicationDateYYYYMMDD | 2022-09-06 |
| PublicationDate_xml | – month: 09 year: 2022 text: 20220906 day: 06 |
| PublicationDecade | 2020 |
| PublicationPlace | Melville |
| PublicationPlace_xml | – name: Melville |
| PublicationTitle | AIP conference proceedings |
| PublicationYear | 2022 |
| Publisher | American Institute of Physics |
| Publisher_xml | – name: American Institute of Physics |
| References | Sanchez (c5) 1976; 30 Peeva (c16) 1992; 49 Zahariev (c19) 2008; 1067 Peeva, Zaharieva, Zahariev (c9) 2016; 1789 Peeva (c4) 2006; 19 Chen, Wang (c17) 2002; 6 Zahariev (c20) 2009; 1184 Shieh (c11) 2008; 16 Yeh (c12) 2008; 159 Markovskii (c7) 2005; 153 Peeva (c10) 2013; 234 Peeva, Durcheva (c8) 2015; 68 |
| References_xml | – volume: 159 start-page: 23 year: 2008 ident: c12 article-title: On the minimal solutions of max–min fuzzy relational equations publication-title: Fuzzy Sets and Systems – volume: 1067 start-page: 516 year: 2008 ident: c19 article-title: Solving Max-min Relational Equations. Software and Applications, in International Conference “Applications of Mathematics in Engineering and Economics (AMEE'08)” publication-title: AIP Conference Proceedings – volume: 153 start-page: 261 year: 2005 ident: c7 publication-title: On the relation between equations with max-product composition and the covering problem, Fuzzy Sets Systems – volume: 68 start-page: 165 year: 2015 ident: c8 publication-title: Constructing solution set of fuzzy linear systems of equations in product algebra. Comptes Rendus de L'Academie Bulgare des Sciences – volume: 6 start-page: 428 year: 2002 ident: c17 publication-title: Fuzzy relational equations (I): the general and specialized solving algorithm, Soft Computing – volume: 1789 start-page: 060005 year: 2016 ident: c9 article-title: Resolution of max-t-norm fuzzy linear system of equations in BL-algebras publication-title: AIP Conference Proceedings – volume: 49 start-page: 339 year: 1992 ident: c16 publication-title: Fuzzy linear systems, Fuzzy Sets and Systems – volume: 234 start-page: 44 issn: 0020-0255 year: 2013 ident: c10 article-title: Resolution of Fuzzy Relational Equations – Method, Algorithm and Software with Applications publication-title: Information Sciences – volume: 16 start-page: 19 year: 2008 ident: c11 article-title: New resolution of finite fuzzy relation equations with max-min composition, International Journal of Uncertainty publication-title: Fuzziness and Knowledge-Based Systems – volume: 1184 start-page: 341 year: 2009 ident: c20 article-title: Software package and API in MATLAB for working with fuzzy algebras, in International Conference “Applications of Mathe- matics in Engineering and Economics (AMEE'09) publication-title: AIP Conference Proceedings – volume: 30 start-page: 38 year: 1976 ident: c5 publication-title: Resolution of composite fuzzy relation equations, Information and Control – volume: 19 start-page: 9 year: 2006 ident: c4 article-title: Universal algorithm for solving fuzzy relational equations publication-title: Italian Journal of Pure and Applied Mathematics |
| SSID | ssj0029778 |
| Score | 2.30632 |
| Snippet | An algorithm for solving Min-Goguen fuzzy linear systems of equations is presented in this paper. Solving linear systems of equations is subject of great... |
| SourceID | unpaywall proquest scitation |
| SourceType | Open Access Repository Aggregation Database Publisher |
| SubjectTerms | Algebra Algorithms Fuzzy logic Fuzzy systems Linear systems Mathematical analysis |
| Title | Fuzzy relational equations - Min-Goguen implication |
| URI | http://dx.doi.org/10.1063/5.0103030 https://www.proquest.com/docview/2710011804 https://aip.scitation.org/doi/pdf/10.1063/5.0103030 |
| UnpaywallVersion | publishedVersion |
| Volume | 2505 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVEBS databaseName: Inspec with Full Text customDbUrl: eissn: 1551-7616 dateEnd: 20241101 omitProxy: false ssIdentifier: ssj0029778 issn: 0094-243X databaseCode: ADMLS dateStart: 20000101 isFulltext: true titleUrlDefault: https://www.ebsco.com/products/research-databases/inspec-full-text providerName: EBSCOhost |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LS8NAEF6kRbz5qqjUEtDr1iT7yO6xqLWILQVbqKewm-xCscTYNkj7691N0rQKgt72MOQx2cnMl_nmCwA30ouZrwMJtaQIYuURE3OcQx0I7GnJGaV2ULg_oL0xfpqQSTnHbWdhxDQ1sK6Up847-Ta001gXSJOiWyuzaXYmMji9TokpwGugPh4MO6-F3iSGPkaTXCWVeNCAdFr0lYklMZKNttDucb7VlgfVyc06S1Kx-hSz2U7K6R6C0eZiC6bJWztbyna0_qHj-M-7OQKN7YyfM6yy1zHYU8kJ2M8JodHiFKButl6vnHnJlRMzR30UquALBzr9aQIf7UefxJluKekNMO4-jO56sPzBAkw9ysz7N2Bu7IuYS21QDVVxQAkiVGJP-UIos-JcU4YY5i4VdgjVx0JxN4pIEAkXoTNQS94TdQ4cZQMfuVIzbfIdjpiKY039CBn86CrsX4DmxslhGSWL0LfSQlaDDl-A68pPYVrobIR5f5yikISlj4xV9Uh-t7r8k1UT1JbzTF2ZkmIpW6Deue8_v7TKrfQFcCHFWA |
| linkProvider | Unpaywall |
| linkToUnpaywall | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LS8NAEF6kRbz5qlipEtDr1mRf2T2KWIvQ0kML9RR2k10olhjbBml_vbtJmlZB0NsehjwmO5n5Mt98AeBOBQlHJlTQKIYh0QG1MScENKEkgVGCM-YGhQdD1p-QlymdVnPcbhZGzjIL6yp56qKT70I7S0yJNBm-dzKbdmdii9ObjNoCvAGak-Ho4bXUmyQQETwtVFJpAC1IZ2VfmToSI91qC-0f51tteVSf3K7zNJPrTzmf76Wc3jEYby-2ZJq8dfOV6sabHzqO_7ybE9Dazfh5ozp7nYIDnZ6Bw4IQGi_PAe7lm83aW1RcOTn39EepCr70oDeYpfDZffRJvdmOkt4Ck97T-LEPqx8swCxg3L5_Q-4nSCZCGYtqmE5CRjFligQaSantSgjDOOZE-Ey6IVREpBZ-HNMwlj7GF6CRvqf6EnjaBT72leHG5jsSc50khqEYW_zoa4LaoLN1clRFyTJCTlrIadCRNrit_RRlpc5GVPTHGY5oVPnIWtWP5Herqz9ZdUBjtcj1tS0pVuqm2kJfTVLDxA |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=proceeding&rft.title=AIP+conference+proceedings&rft.atitle=Fuzzy+relational+equations+-+Min-Goguen+implication&rft.au=Zahariev+Zlatko&rft.au=Zaharieva+Galina&rft.au=Peeva+Ketty&rft.date=2022-09-06&rft.pub=American+Institute+of+Physics&rft.issn=0094-243X&rft.eissn=1551-7616&rft.volume=2505&rft.issue=1&rft_id=info:doi/10.1063%2F5.0103030&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0094-243X&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0094-243X&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0094-243X&client=summon |