Conditional measures and their applications to fuzzy sets
β Scribed by Siegfried Weber
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 500 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0165-0114
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π SIMILAR VOLUMES
The inclusion measure, the similarity measure, and the fuzziness of fuzzy sets are three important measures in fuzzy set theory. In this article, we investigate the relations among inclusion measures, similarity measures, and the fuzziness of fuzzy sets, prove eight theorems that inclusion measures,
B-possibility and B-necessity measures are deΓΏned as the qualitative analogues of the well known [0, 1]-measures. Their connection to B-fuzzy sets (Boolean fuzzy sets) is established. It is also proved that B-fuzzy sets deΓΏne B-possibility and B-necessity measures by their membership function. We al