New Arithmetic Operations of Non-Normal Fuzzy Sets Using Compatibility

The new arithmetic operations of non-normal fuzzy sets are studied in this paper by using the extension principle and considering general aggregation function. Usually, functions taken to be minimum function or t-norms. In paper, we considered a set up sets. applications, always transferred their corresponding ?-level When is function, transformation clearly realized. Since was adopted concept compatibility with needed proposed, which can cover conventional case as special case.