IMAGES an‎d PREIMAGES OF (L,M)-GRILLBASES

We introduce the notion of (L,M)-grillbases, where L is a complete lattice and M is a strictly two-sided, commutative quantale lattice. We define two types of image and preimage of (L,M)-grillbases using the Zadeh image and preimage operators. We study the images and preimages of (L,M)-grillbases induced by mappings. We investigate their properties.