The migrativity of grouping functions over fuzzy implications from generator functions

The migrativity of aggregation functions holds significant importance in fuzzy logic systems, and it has been found that migrativity is a worthwhile research issue both in application and theory. In the past few decades, the migrativity of some aggregation functions has been documented. However, the relationship between the generator fuzzy implications and grouping functions is still an open question. This paper aims to explore the migrativity of grouping functions with respect to fuzzy implications derived from generator functions. To be specific, we examine the migrativity of grouping functions over several particular generator fuzzy implications. From this novel perspective, we will present a multitude of new findings.