Further contributions to the study of finite fuzzy relations equations
Fuzzy Sets and Systems
The smallest solution of max-min fuzzy equations
Fuzzy Sets and Systems
Fuzzy sets and fuzzy logic: the foundations of application—from a mathematical point of view
Fuzzy sets and fuzzy logic: the foundations of application—from a mathematical point of view
Strong regularity of matrices: a survey of results
Discrete Applied Mathematics
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Unique solvability of max-min fuzzy equations and strong regularity of matrices over fuzzy algebra
Fuzzy Sets and Systems - Special issue: fuzzy relations, part 2
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Fuzzy Relation Equations (II): The Branch-point-solutions and the Categorized Minimal Solutions
Soft Computing - A Fusion of Foundations, Methodologies and Applications
On the minimal solutions of max--min fuzzy relational equations
Fuzzy Sets and Systems
On the resolution and optimization of a system of fuzzy relational equations with sup-T composition
Fuzzy Optimization and Decision Making
A note on systems with max--min and max-product constraints
Fuzzy Sets and Systems
A survey on fuzzy relational equations, part I: classification and solvability
Fuzzy Optimization and Decision Making
Solutions of composite fuzzy relational equations with triangular norms
Fuzzy Sets and Systems
Randomly generating test problems for fuzzy relational equations
Fuzzy Optimization and Decision Making
Linear optimization with an arbitrary fuzzy relational inequality
Fuzzy Sets and Systems
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The solution set of a consistent system of fuzzy relational equations with max-min composition can be characterized by one maximum solution and a finite number of minimal solutions. A polynomial-time method of O(mn) complexity is proposed to determine whether such a system has a unique minimal solution and/or a unique solution, where m, n are the dimensions of the input data. The proposed method can be extended to examining a system of fuzzy relational equations with max-T composition where T is a continuous triangular norm.