Fuzzy cell-to-cell mapping

The major disadvantages of generalized cell-to-cell mapping are that: (1) every point in a cell is treated equally, regardless of its distance from the center of a cell; (2) a point very close to the boundary of a cell may belong to neighboring cells with particular probabilities. The concept of generalized cell mapping is extended into the formalism of a fuzzy cell-to-cell mapping. In the authors´ approach each cell is fuzzified and a fuzzy cell-to-cell mapping based on fuzzy relations is driven. The proposed approach is applied to an illustrative example and its results discussed