Academic Journal
Προβολή σε EDS

Inverse Operator over Index Matrices.

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: Inverse Operator over Index Matrices.
Συγγραφείς: Bureva, Veselina, Atanassov, Krassimir, Atanassova, Vassia, Umlenski, Ivo
Πηγή: Mathematics (2227-7390); Feb2026, Vol. 14 Issue 4, p615, 21p
Θεματικοί όροι: Matrices (Mathematics), Operator equations, Computer software execution, Classification
Περίληψη: Index matrices are an extension of the ordinary matrices with explicitly assigned index sets on both their rows and columns, forming an advanced mathematical structure used for specialized data modeling and problem-solving. In the present paper, a new operator, called "Inverse" operator, is defined over hierarchical index matrices with a description of its software implementation. This operator has no analogue in the classical theory of matrices. Its application allows various restructuring of datasets with multiple criteria, in order to outline data stratifications in the best possible way serving the particular decision maker's needs. As an illustrative example for the new operator, a dataset of the recorded blood donors in Bulgaria is provided, with discussions of the different stratifications and perspectives in which the dataset can be rearranged using the "Inverse" operator. [ABSTRACT FROM AUTHOR]
Copyright of Mathematics (2227-7390) is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Βάση Δεδομένων: Complementary Index
FullText Text:
  Availability: 0
CustomLinks:
  – Url: https://resolver.ebsco.com/c/fiv2js/result?sid=EBSCO:edb&genre=article&issn=22277390&ISBN=&volume=14&issue=4&date=20260215&spage=615&pages=615-635&title=Mathematics (2227-7390)&atitle=Inverse%20Operator%20over%20Index%20Matrices.&aulast=Bureva%2C%20Veselina&id=DOI:10.3390/math14040615
    Name: Full Text Finder (for New FTF UI) (ns324271)
    Category: fullText
    Text: Full Text Finder
    MouseOverText: Full Text Finder
Header DbId: edb
DbLabel: Complementary Index
An: 192049211
RelevancyScore: 1041
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 1041.0693359375
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Inverse Operator over Index Matrices.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Bureva%2C+Veselina%22">Bureva, Veselina</searchLink><br /><searchLink fieldCode="AR" term="%22Atanassov%2C+Krassimir%22">Atanassov, Krassimir</searchLink><br /><searchLink fieldCode="AR" term="%22Atanassova%2C+Vassia%22">Atanassova, Vassia</searchLink><br /><searchLink fieldCode="AR" term="%22Umlenski%2C+Ivo%22">Umlenski, Ivo</searchLink>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: Mathematics (2227-7390); Feb2026, Vol. 14 Issue 4, p615, 21p
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Matrices+%28Mathematics%29%22">Matrices (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Operator+equations%22">Operator equations</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+software+execution%22">Computer software execution</searchLink><br /><searchLink fieldCode="DE" term="%22Classification%22">Classification</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Index matrices are an extension of the ordinary matrices with explicitly assigned index sets on both their rows and columns, forming an advanced mathematical structure used for specialized data modeling and problem-solving. In the present paper, a new operator, called "Inverse" operator, is defined over hierarchical index matrices with a description of its software implementation. This operator has no analogue in the classical theory of matrices. Its application allows various restructuring of datasets with multiple criteria, in order to outline data stratifications in the best possible way serving the particular decision maker's needs. As an illustrative example for the new operator, a dataset of the recorded blood donors in Bulgaria is provided, with discussions of the different stratifications and perspectives in which the dataset can be rearranged using the "Inverse" operator. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of Mathematics (2227-7390) is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edb&AN=192049211
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.3390/math14040615
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 21
        StartPage: 615
    Subjects:
      – SubjectFull: Matrices (Mathematics)
        Type: general
      – SubjectFull: Operator equations
        Type: general
      – SubjectFull: Computer software execution
        Type: general
      – SubjectFull: Classification
        Type: general
    Titles:
      – TitleFull: Inverse Operator over Index Matrices.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Bureva, Veselina
      – PersonEntity:
          Name:
            NameFull: Atanassov, Krassimir
      – PersonEntity:
          Name:
            NameFull: Atanassova, Vassia
      – PersonEntity:
          Name:
            NameFull: Umlenski, Ivo
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 15
              M: 02
              Text: Feb2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 22277390
          Numbering:
            – Type: volume
              Value: 14
            – Type: issue
              Value: 4
          Titles:
            – TitleFull: Mathematics (2227-7390)
              Type: main
ResultId 1