Conditions for the existence of the least solution and minimal solutions to fuzzy relation equations over complete Brouwerian lattices

DOI10.1016/j.ins.2012.04.002zbMath1268.03075OpenAlexW2082496853MaRDI QIDQ713418

Feng Sun

Publication date: 29 October 2012

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2012.04.002

zbMATH Keywords

fuzzy relationcomplete Brouwerian latticesminimal solutionfuzzy relation equationleast solution

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items (9)

Using concept lattice theory to obtain the set of solutions of multi-adjoint relation equations ⋮ Remarks on minimal solutions of a system of fuzzy relation equations over complete infinitely distributive lattices ⋮ Solving linear optimization problems subject to bipolar fuzzy relational equalities defined with max-strict compositions ⋮ Resolution of fuzzy relation equations with increasing operations over complete lattices ⋮ On the solvability of weakly linear systems of fuzzy relation equations ⋮ Optimization of linear problems subjected to the intersection of two fuzzy relational inequalities defined by Dubois-Prade family of t-norms ⋮ The complexity analysis of solving the max-product fuzzy relation equation with LU decomposition ⋮ Optimal solution of multi-objective linear programming with \(\inf\)-\(\to\) fuzzy relation equations constraint ⋮ On pre-solution matrices of fuzzy relation equations over complete Brouwerian lattices

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