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Measures of fuzzy sets and measures of fuzziness

โœ Scribed by Siegfried Weber

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
951 KB
Volume
13
Category
Article
ISSN
0165-0114

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๐Ÿ“œ SIMILAR VOLUMES

Inclusion measures, similarity measures,
Inclusion measures, similarity measures, and the fuzziness of fuzzy sets and their relations
โœ Wenyi Zeng; Hongxing Li ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 130 KB

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,

Fuzzy number fuzzy measures and fuzzy in
Fuzzy number fuzzy measures and fuzzy integrals. (II). Fuzzy integrals of fuzzy-valued functions with respect to fuzzy number fuzzy measures on fuzzy sets
โœ Congxin Wu; Deli Zhang; Bokan Zhang; Caimei Guo ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 266 KB

This is a subsequent paper of [9]. By using the concepts of fuzzy number fuzzy measures [9] and fuzzy-valued functions [10], a theory of fuzzy integrals of fuzzy-valued functions with respect to fuzzy number fuzzy measures is built up. So far, it is a more general one following Sugeno's [5].

Some mathematical aspects of fuzzy sets:
Some mathematical aspects of fuzzy sets: Triangular norms, fuzzy logics, and generalized measures
โœ Erich Peter Klement ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 471 KB

From a mathematical point of view, the use of triangular norms as connectives in many-valued, in particular in [0, 1]valued logics and fuzzy logics is discussed. Also, an overview of some non-additive generalizations of classical measures is given. (~) 1997 Elsevier Science B.V.