2005 · 30 citations · 6 references
ComputingComputer ScienceMathematicsOptimizationSet TheoryUncertainty QuantificationFuzzy LogicNumerical AlgorithmsFuzzy SetsInterval Type-2 Fuzzy SetsMembership FunctionsType-2 Fuzzy Sets
This paper presents an interval type-2 fuzzy C-spherical shells (FCSS) algorithm that is an extension of the type-1 FCSS algorithm proposed in. In our proposed method, the membership values for each pattern vector are extended as interval type-2 fuzzy memberships by assigning uncertainty to the type-1 memberships. By doing so, the cluster boundary obtained by the interval type-2 FCSS can be found to be more desirable than that of type-1 FCSS in the presence of noise. Experimental results are given to show the effectiveness of our method.
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Jerry M. Mendel, Robert John · IEEE Transactions on Fuzzy Systems · 2002 · 2.6K citations
A possibilistic approach to clustering
Raghu Krishnapuram, James M. Keller · IEEE Transactions on Fuzzy Systems · 1993 · 2.5K citations