On matrix equations in a class of complete and completely distributive lattices
Fuzzy Sets and Systems
On solving relational equations in Brouwerian lattices
Fuzzy Sets and Systems
Fuzzy Sets and Systems
On an algorithm for solving fuzzy linear systems
Fuzzy Sets and Systems
Some properties of minimal solutions for a fuzzy relation equation
Fuzzy Sets and Systems
Unattainable solutions of a fuzzy relation equation
Fuzzy Sets and Systems
Method of solution to fuzzy equations in a complete Brouwerian lattice
Fuzzy Sets and Systems
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
A survey on fuzzy relational equations, part I: classification and solvability
Fuzzy Optimization and Decision Making
Fuzzy relational equations on complete Brouwerian lattices
Information Sciences: an International Journal
Information Sciences: an International Journal
Complete solution sets of inf → interval-valued fuzzy relation equations
Information Sciences: an International Journal
Information Sciences: an International Journal
Information Sciences: an International Journal
Some properties of infinite fuzzy relational equations with sup-inf composition
Information Sciences: an International Journal
| Hi-index | 0.20 |
This paper deals with fuzzy relational equations A@?X=b (where both A=(a"j)"j"@?"J and b are known, b has an irredundant continuous join-decomposition, X=(x"j)"j"@?"J^T is unknown, ''@?'' represents ''sup-inf'' composition, J is an infinite index set) on complete Brouwerian lattices. At first, a necessary and sufficient condition for existence of the attainable solutions (the unattainable solutions, respectively) and some properties of the attainable solutions (the unattainable solutions, respectively) are formulated. Then the solution set of the fuzzy relational equations is described.