In this paper, a new shell clustering method is presented to cluster model-based shells in 2-dimensions. Shells, that each one of them can be expressed by a center and non-negative radius in each angle (by considering polar coordinate system), can cluster by using the proposed model-based fuzzy c-shells (MFCS) clustering method. In this paper, firstly one of the most famous traditionally clustering methods, i.e. fuzzy c-spherical shells (FCSS) clustering method, is extracted from the proposed MFCS clustering method as a specific state of it. Then, the per- formance of proposed method is examined in three exam- ples when it is applied over shells with various shapes in 2-dimensions. Since the resulted systems of equations in the studied examples cannot be solved directly, the particle swarm optimization (PSO) algorithm is used to numeri- cally solve the resulted equations systems. The simulation results show the acceptable performance of the proposed MFCS method.

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