L-fuzzy ⋎ and ⋏ hyperoperations and the associated l-fuzzy hyperalgebras

摘要

In this paper we study two fuzzy hyperoperations, denoted by ⋎ (which can be seen as a generalization of ∨) and ⋏ (which can be seen as a generalization of ∧). ⋎ is obtained from a family of crisp ∨; p hyperoperations and ⋏ is obtained from a family of crisp ∧ p hyperoperations. The hyperstructure (X, ⋎, ∧) resembles ahyperlattice and the hyperstructure (X, ∨, ⋏) resembles adual hyperlattice