Aggregation and fuzzification by weighted fuzzy fusion operator

This paper follows on from some works achieved in a team of the LAMIH, entitled "systems modeling and control group". This ones deal with a fuzzy arithmetic whose first interest is to be more practical than the extension principle one and alpha-cut based methods. It comes from a different representation of fuzzy numbers. The arithmetic proposed can be extended to most of the fuzzy quantities. The present paper follows up work in introducing a metric for fuzzy numbers, a weighted fuzzy fusion operator and its application to data analysis and filtering.