- Title
- (L, M)-fuzzy topological spaces
- Creator
- Matutu, Phethiwe Precious
- ThesisAdvisor
- Kotzé, Wesley
- Subject
- Topological spaces
- Subject
- Fuzzy sets
- Date
- 1992
- Type
- Thesis
- Type
- Masters
- Type
- MSc
- Identifier
- vital:5410
- Identifier
- http://hdl.handle.net/10962/d1005224
- Identifier
- Topological spaces
- Identifier
- Fuzzy sets
- Description
- The objective of this thesis is to develop certain aspects of the theory of (L,M)-fuzzy topological spaces, where L and M are complete lattices (with additional conditions when necessary). We obtain results which are to a large extent analogous to results given in a series of papers of Šostak (where L = M = [0,1]) but not necessarily with analogous proofs. Often, our generalizations require a variety of techniques from lattice theory e.g. from continuity or complete distributive lattices.
- Format
- 111 p., pdf
- Publisher
- Rhodes University, Faculty of Science, Mathematics
- Language
- English
- Rights
- Matutu, Phethiwe Precious
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