A fuzzy system approximates a function by covering the graph of the function with fuzzy rule patches and averaging patches that overlap. But the number of rules grows exponentially with the total number of input and output variables. The best rules cover the extrema or bumps in the function-they pat
Optimal fuzzy counterparts of scheduling rules
✍ Scribed by Ertunga C. Özelkan; Lucien Duckstein
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 232 KB
- Volume
- 113
- Category
- Article
- ISSN
- 0377-2217
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✦ Synopsis
The optimality of a fuzzy logic alternative to the usual treatment of uncertainties in a scheduling system using probability theory is examined formally. Fuzzy scheduling techniques proposed in the literature either fuzzify directly the existing scheduling rules, or solve mathematical programming problems to determine the optimal schedules. In the former method, the fuzzy optimality for the optimal scheduling rules is usually not justi®ed but still assumed. In this paper, the necessary conditions for fuzzy optimality are de®ned, and fuzzy counterparts of some of the well-known scheduling rules such as shortest processing time (SPT) and earliest due date (EDD) are developed.
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