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Joseph Weizenbaum was a German American computer scientist and a professor at MIT. The Weizenbaum Award is named after him. He is considered one of the fathers of modern artificial intelligence.
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A fuzzy number is a generalization of a regular, real number in the sense that it does not refer to one single value but rather to a connected set of possible values, where each possible value has its own weight between 0 and 1. This weight is called the membership function. A fuzzy number is thus a special case of a convex, normalized fuzzy set of the real line. Just like Fuzzy logic is an extension of Boolean logic, fuzzy numbers are an extension of real numbers. Calculations with fuzzy numbers allow the incorporation of uncertainty on parameters, properties, geometry, initial conditions, etc. The arithmetic calculations on fuzzy numbers are implemented using fuzzy arithmetic operations, which can be done by two different approaches: (1) interval arithmetic approach; and (2) the extension principle approach.
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References
- ↑ Bennett, Drake (January 28, 2011). "Innovator: Joseph Bates - BusinessWeek". Bloomberg Businessweek . Retrieved 30 January 2011.
- ↑ Hardesty, Larry (January 3, 2011). "The surprising usefulness of sloppy arithmetic". MIT News Office. Archived from the original on 29 January 2011. Retrieved 30 January 2011.
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