Title | ||
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Aggregation Using the Fuzzy Weighted Average as Computed by the Karnik–Mendel Algorithms |
Abstract | ||
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By connecting work from two different problems-the fuzzy weighted average (FWA) and the generalized centroid of an interval type-2 fuzzy set-a new alpha-cut algorithm for solving the FWA problem has been obtained, one that is monotonically and superexponentially convergent. This new algorithm uses the Karnik-Mendel (KM) algorithms to compute the FWA -cut end-points. It appears that the KM -cut algorithms approach for computing the FWA requires the fewest iterations to date, and may therefore be the fastest available FWA algorithm to date. |
Year | DOI | Venue |
---|---|---|
2008 | 10.1109/TFUZZ.2007.896229 | IEEE T. Fuzzy Systems |
Keywords | Field | DocType |
fuzzy weighted average,problems-the fuzzy weighted average,fastest available fwa algorithm,superexponentially convergent,algorithms approach,fewest iteration,fwa problem,new algorithm,cut end-points,mendel algorithms,fuzzy set-a new alpha-cut,generalized centroid,fuzzy sets,centroid,arithmetic,fuzzy logic,signal processing,uncertainty,fuzzy set theory,fuzzy systems,mathematical model | Fuzzy weighted average,Signal processing,Fuzzy set,Artificial intelligence,Fuzzy control system,Monotonic function,Mathematical optimization,Perceptual computing,Fuzzy logic,Algorithm,Machine learning,Centroid,Mathematics | Journal |
Volume | Issue | ISSN |
16 | 1 | 1063-6706 |
Citations | PageRank | References |
66 | 2.55 | 8 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
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Feilong Liu | 1 | 429 | 15.52 |
Mendel, J.M. | 2 | 10926 | 1042.42 |