A Note on Aggregation of t-norm-based, Fuzzy Vector Subspaces

Abstract

Aggregation operators, as mathematical tools, play an important role in fusing data, within many knowledge-based systems. The question that arises while aggregating data of a specific structure, is under which conditions the structure can be preserved. The focus of this paper, is on an overview of the aggregation of special algebraic structures, known as T-fuzzy vector subspaces, (i.e., fuzzy vector subspaces with the main axiom based on an arbitrary triangular norm T) and to also explore the possibilities for directions for future research.