The simplest method of ascending value to find fuzzy transitive closure
Fuzzy Sets and Systems
An algorithm for computing the transitive closure of a fuzzy similarity matrix
Fuzzy Sets and Systems
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Fuzzy Sets and Systems
Fuzzy Sets in Approximate Reasoning and Information Systems
Fuzzy Sets in Approximate Reasoning and Information Systems
WSEAS Transactions on Circuits and Systems
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Information Sciences: an International Journal
Using fuzzy modeling to describe power system QV curve
IMCAS'10 Proceedings of the 9th WSEAS international conference on Instrumentation, measurement, circuits and systems
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IMCAS'10 Proceedings of the 9th WSEAS international conference on Instrumentation, measurement, circuits and systems
Power quality assessment of specially connected transformers
IMCAS'10 Proceedings of the 9th WSEAS international conference on Instrumentation, measurement, circuits and systems
Fuzzy relational classifier trained by fuzzy clustering
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Flexible complexity reduced PID-like fuzzy controllers
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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IEEE Transactions on Fuzzy Systems
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IEEE Transactions on Fuzzy Systems
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This paper presents the applications of hierarchical clustering to the generators in a power system. A useful application of fuzzy mathematics is that the correction of clustering results and determination of whether it can obtain correct transitive closure. Thus, the fuzzy transitive closure plays an important role in hierarchical clustering. Based on the fuzzy relation matrix, the hierarchical cluster analysis can be achieved by using firstly computing a transitive closure matrix on which serial α-cut operations are to be performed. A specific feature of the proposed method is that the hierarchical clustering work can be performed in parallel with the algorithm. The proposed method retains the correctness of transitive closure by reducing the computation complexity. Results from applying the method to a power system are demonstrated to show the validity and effectiveness of the proposed method.