Eigenspace structure of a max-prod fuzzy matrix

DOI10.1016/j.fss.2015.09.023zbMath1386.15027OpenAlexW2013354869MaRDI QIDQ679843

Imran Rashid, Martin Gavalec, Richard Cimler

Publication date: 22 January 2018

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2015.09.023

zbMATH Keywords

eigenvectorfuzzy matrix(max, prod)-algebraproduct triangular norm

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Fuzzy matrices (15B15)

Related Items (4)

Steady states of max-Łukasiewicz fuzzy systems ⋮ Tolerance and weak tolerance of interval eigenvectors in fuzzy algebra ⋮ Lexicographic optimal solution of the multi-objective programming problem subject to max-product fuzzy relation inequalities ⋮ Strong tolerance of interval eigenvectors in fuzzy algebra

Cites Work

• Eigenspace structure of a max-drast fuzzy matrix
• Eigenvalues and eigenvectors for matrices over distributive lattices
• Linear and combinatorial optimization in ordered algebraic structures
• Minimax algebra and applications
• Eigenvalues of dynamic max-min systems
• Eigenvectors in Bottleneck algebra
• Resolution of eigen fuzzy sets equations
• Minimax algebra
• Monotone eigenspace structure in max-min algebra
• Dioïds and semirings: Links to fuzzy sets and other applications
• A linear-system-theoretic view of discrete-event processes and its use for performance evaluation in manufacturing
• On the powers of matrices over a distributive lattice
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