In many applications of fuzzy logic it is of special interest to have a transfer function with good properties regarding differentiability. To that end it is desirable to have continuously differentiable membership functions with only few parameters. In this paper we propose a class of symmetrical a
Interpreting membership functions: A constructive approach
✍ Scribed by Vicenç Torra i Reventós
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 770 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0888-613X
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✦ Synopsis
In this paper, we study the semantics of fuzzy sets. We show that fuzzy sets can be interpreted as the aggregation of a set of observations. We formalize this interpretation by means of the OWA and the WOWA operators. The introduction of the WOWA operator allows the user to weigh each observation.
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