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Modal-Like Operators in Boolean Lattices, Galois Connections and Fixed Points

Järvinen J., Kondo M., Kortelainen J.

Fundamenta Informaticae

2007

Vol. 76, nr 1-2

129-145

In this work, four modal-like operators on Boolean lattices are introduced and their theory is presented from lattice-theoretical, topological and algebraic point of view. It is also shown how rough set approximation operators, modal operators in temporal logic, and linguistic modifiers determined by L-sets can be interpreted as modal-like operators.