Brown, Lawrence M.Ertürk, Rıza2021-06-232021-06-2320000165-0114https://doi.org/10.1016/S0165-0114(98)00157-2https://hdl.handle.net/20.500.12491/4616The authors continue the development of a theory of texture spaces, introducing complemented products and sums, and applying these in a series of representation theorems for fuzzy lattices and the lattices of double struck L sign-fuzzy sets, generalized fuzzy sets and intuitionistic sets. The second paper in this series will extend this enquiry by introducing subtextures and quotient textures and a second series of papers is under preparation which consider topological aspects of this correspondence. © 2000 Elsevier Science B.V. All rights reserved.eninfo:eu-repo/semantics/closedAccessComplemented texturesFuzzy latticesGeneralized fuzzy setsIntuitionistic setsL-fuzzy setsProduct texturesSums of textures (VARF)TexturesArticle10.1016/S0165-0114(98)00157-211022272352-s2.0-0347252679Q1WOS:000084537000008Q3