Regular fuzzy matrices and fuzzy equations

DOI10.1016/S0165-0114(97)00232-7zbMath0942.15012OpenAlexW2092092087MaRDI QIDQ1304305

Han Hyuk Cho

Publication date: 14 August 2000

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

Full work available at URL: https://doi.org/10.1016/s0165-0114(97)00232-7

zbMATH Keywords

generalized inverseminimal solutionfuzzy matrixregular matrixmax-min matrix equationmax-min rank

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24)

Related Items (8)

Iteration algorithm for solving \(Ax = b\) in max--min algebra ⋮ On regularity of block triangular fuzzy matrices ⋮ PROPERTIES OF REGULAR FUZZY RELATIONS ⋮ Inverse of a fuzzy matrix of fuzzy numbers ⋮ Ranks of fuzzy matrices. Applications in state reduction of fuzzy automata ⋮ Factorizations of matrices over semirings. ⋮ Finding Fuzzy Inverse Matrix Using Wu’s Method ⋮ Regular matrices and their generalized inverses over the max algebra

Cites Work

• Fuzzy relation equations theory as a basis of fuzzy modelling: An overview
• The smallest solution of max-min fuzzy equations
• Sets of solution-set equivalent coefficient matrices of fuzzy relation equations
• Further contributions to the study of finite fuzzy relation equations
• Generalized fuzzy matrices
• Inverses of L-fuzzy matrices
• Regular matrices in the semigroup of Hall matrices
• Fuzzy matrices of permanent one
• Ranks of Boolean matrices
• Determinant theory for \(D_{01}\)-lattice matrices
• Unique solvability of max-min fuzzy equations and strong regularity of matrices over fuzzy algebra
• The determinant and adjoint of a square fuzzy matrix

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