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© hindawi publishing corp. Α-fuzzy compactness in i-topological spaces (2002).
| Content Provider | CiteSeerX |
|---|---|
| Author | Gregori, Valentín Künzi, Hans-Peter A. |
| Abstract | Using a gradation of openness in a (Chang fuzzy) I-topological space, we introduce degrees of compactness that we call α-fuzzy compactness (where α belongs to the unit interval), so extending the concept of compactness due to C. L. Chang. We obtain a Baire category theorem for α-locally compact spaces and construct a one-point α-fuzzy compactification of an I-topological space. 2000 Mathematics Subject Classification: 54A40, 54E52, 54D35. 1. Introduction. In 1968, Chang [1] introduced the concept of a fuzzy topology on a set X. However, some authors criticized that his notion did not really describe fuzziness with respect to the concept of openness of a fuzzy set. In the light of this difficulty, Šostak [9, 10] began his study on fuzzy structures of topological type. Subsequently, by means of some variant of a Šostak fuzzy |
| File Format | |
| Publisher Date | 2002-01-01 |
| Access Restriction | Open |
| Subject Keyword | Hindawi Publishing Corp Fuzzy Compactness I-topological Space I-topological Space Baire Category Theorem One-point Fuzzy Compactification Mathematics Subject Classification Fuzzy Compactness Compact Space Fuzzy Topology Fuzzy Structure Ostak Fuzzy Fuzzy Set Topological Type Unit Interval |
| Content Type | Text |
