Pairwise comparisons matrix decomposition into approximation and orthogonal component using Lie theory

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Koczkodaj W. W., Marek V. W., Yayli Y.

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, cilt.139, ss.201-210, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 139
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1016/j.ijar.2021.09.009
  • Dergi Adı: INTERNATIONAL JOURNAL OF APPROXIMATE REASONING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Compendex, INSPEC, Linguistics & Language Behavior Abstracts, zbMATH, DIALNET
  • Sayfa Sayıları: ss.201-210
  • Anahtar Kelimeler: Approximate reasoning, Subjectivity, Inconsistency, Consistency-driven, Pairwise comparison, Matrix Lie group, Lie algebra, Approximation, Orthogonality, Decomposition, GENERAL UNIFIED FRAMEWORK, MULTICRITERIA ANALYSIS, ALGORITHMS
  • Ankara Üniversitesi Adresli: Evet

Özet

This paper examines the use of Lie group and Lie Algebra theory to construct the geometry of pairwise comparisons matrices. The Hadamard product (also known as coordinatewise, coordinate-wise, elementwise, or element-wise product) is analyzed in the context of inconsistency and inaccuracy by the decomposition method.