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Fuzzy sets as texture spaces, II. Subtextures and quotient textures

✍ Scribed by Lawrence M. Brown; Riza Ertürk

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 132 KB
Volume: 110
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(98)00158-4

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✦ Synopsis

In this paper the authors introduce the notions of subtexture and quotient texture of a complemented texture space. Conditions ensuring the existence of such textures are discussed, and applied to show that certain natural subtextures of product textures may be deÿned. These are used in particular to give representations of product L-fuzzy sets, and a representation involving quotient textures is also examined.

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Fuzzy sets as texture spaces, I. Representation theorems

✍ Lawrence M. Brown; Riza Ertürk 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 129 KB

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 seri