Clustering the intuitionistic fuzzy data: Detection of an unknown number of intuitionistic fuzzy clusters in the allotment

This paper introduces a novel intuitionistic fuzzy set-based heuristic algorithm of possibilistic clustering. For the purpose, some remarks on the possibilistic approach to clustering are discussed, basic concepts of the intuitionistic fuzzy set theory and the intuitionistic fuzzy generalization of the heuristic approach to possibilistic clustering are considered, a general plan of the proposed clustering procedure is described in detail, an illustrative example confirms good performance of the proposed algorithm, and some preliminary conclusions are formulated.