Solving fuzzy relational equations through logical filtering

DOI10.1016/0165-0114(95)00221-9zbMath0877.04005OpenAlexW2044602962MaRDI QIDQ1367484

Kaoru Hirota, Witold Pedrycz

Publication date: 8 December 1997

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

Full work available at URL: https://doi.org/10.1016/0165-0114(95)00221-9

zbMATH Keywords

optimizationlearningfuzzy relational equationslogical filtering

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items (8)

Solutions of fuzzy relation equations based on continuous t-norms ⋮ Two new algorithms for solving optimization problems with one linear objective function and finitely many constraints of fuzzy relation inequalities ⋮ Solving linear optimization problems subject to bipolar fuzzy relational equalities defined with max-strict compositions ⋮ Bivalent and other solutions of fuzzy relational equations via linguistic hedges ⋮ NEW RESOLUTION OF FINITE FUZZY RELATION EQUATIONS WITH MAX-MIN COMPOSITION ⋮ Fuzzy linear optimization in the presence of the fuzzy relation inequality constraints with max-min composition ⋮ The complexity analysis of solving the max-product fuzzy relation equation with LU decomposition ⋮ Resolution of composite fuzzy relation equations based on Archimedean triangular norms

Cites Work

• On the existence of solutions of systems of fuzzy equations
• On the set of solutions of composite fuzzy relation equations
• Numerical and applicational aspects of fuzzy relational equations
• Applications of fuzzy relational equations for methods of reasoning in presence of fuzzy data
• Solvability of fuzzy relational equations and manipulation of fuzzy data
• Resolution of composite fuzzy relation equations
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