On matrix equations in a class of complete and completely distributive lattices
Fuzzy Sets and Systems
Triangular norms on product lattices
Fuzzy Sets and Systems - Special issue on triangular norms
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
Some properties of infinite fuzzy relational equations on complete Brouwerian lattices
Fuzzy Sets and Systems
On finite relation equations with sup-conjunctor composition over a complete lattice
Fuzzy Sets and Systems
Fuzzy relational equations on complete Brouwerian lattices
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
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This paper deals with sup-conjunctor composition fuzzy relational equations in infinite domains and on complete distributive lattices. When its right-hand side is a continuous join-irreducible element or has an irredundant continuous join-decomposition, a necessary and sufficient condition describing an attainable solution (resp. an unattainable solution) is formulated and some properties of the attainable solution (resp. the unattainable solution) are shown. Further, the structure of solution sets is investigated.