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Fuzzy sets as texture spaces, I. Representation theorems

✍ Scribed by Lawrence M. Brown; Riza Ertürk

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
129 KB
Volume
110
Category
Article
ISSN
0165-0114

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✦ Synopsis

The 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 L-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.

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