A Fuzzy C-means Type Clustering Algorithm on Triangular Fuzzy Numbers

Fuzzy number type data is a typical class of fuzzy data, and it can be regarded as a general form of the interval data and the crisp data. This paper studies fuzzy clustering algorithm for triangular fuzzy numbers. First of all, we give a novel distance between triangular fuzzy numbers by using three parameters interval number, and prove that the proposed distance is a complete metric on the set of triangular fuzzy numbers. And then, based on this novel distance, we propose two fuzzy c-means type clustering algorithms for dealing with triangular fuzzy numbers. Finally, some numerical examples are provided to illustrate the algorithm´s effectiveness.