Abstract
In this paper we define intuitionistic fuzzy metric and normed spaces. We first consider finite dimensional intuitionistic fuzzy normed spaces and prove several theorems about completeness, compactness and weak convergence in these spaces. In section 3 we define the intuitionistic fuzzy quotient norm and study completeness and review some fundamental theorems. Finally, we consider some properties of approximation theory in intuitionistic fuzzy metric spaces.
| Original language | English (Ireland) |
|---|---|
| Pages (from-to) | 53-64 |
| Number of pages | 12 |
| Journal | IRANIAN JOURNAL OF FUZZY SYSTEMS |
| Volume | 4 |
| Issue number | 1 |
| Publication status | Published - 1 Apr 2007 |
Keywords
- Approximation theory
- Compactness
- Completeness
- Finite dimensional
- Intuitionistic fuzzy metric (normed) spaces
- Quotient spaces
- Weak convergence
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