New construction approaches of uninorms on bounded lattices
Gül Deniz Çaylı
Abstract
This article continuous to investigate the construction approaches for uninorms on bounded lattices. We introduce some new methods to obtain uninorms with an identity e∈L∖{0,1} by using closure (interior) operators on a bounded lattice L. As a by-product of these methods, we present two families of idempotent uninorms on bounded lattices. Furthermore, we provide some corresponding examples to illustrate that our methods can differ for different closure (interior) operators.
Topics & Concepts
Bounded functionMathematicsIdempotenceClosure (psychology)Lattice (music)Pure mathematicsProduct (mathematics)Discrete mathematicsAlgebra over a fieldMathematical analysisGeometryMarket economyPhysicsAcousticsEconomicsRough Sets and Fuzzy LogicAdvanced Algebra and LogicMulti-Criteria Decision Making