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A Method for Estimating the Least Number of Objects in Fuzzy Clusters

Viattchenin D. A., Yaroma A.

International Journal of Electronics and Telecommunications

2017

Vol. 63, No. 4

341--346

The theoretical note deals with the problem of estimation of the value of the least number of objects in fuzzy clusters for following detection of the optimal number of objects in fuzzy clusters through heuristic possibilistic clustering. A technique for detecting the optimal maximal number of elements in the a priori unknown number of fuzzy clusters of the sought clustering structure is reminded and a procedure for finding the initial minimal value of the number of objects in fuzzy clusters is proposed. Numerical examples are considered and conclusions are formulated.

Heuristic possibilistic clustering for detecting optimal number of elements in fuzzy clusters

Viattchenin D. A.

Foundations of Computing and Decision Sciences

2016

Vol. 41, No. 1

45--76

The paper deals with the problem of discovering fuzzy clusters with optimal number of elements in heuristic possibilistic clustering. The relational clustering procedure using a parameter that controls cluster sizes is considered and a technique for detecting the optimal number of elements in fuzzy clusters is proposed. The effectiveness of the proposed technique is illustrated through numerical examples. Experimental results are discussed and some preliminary conclusions are formulated.