AGGREGATION OPERATORS ON MULTIPLE SETS AND ITS APPLICATION IN DECISION-MAKING PROBLEMS

The ability of fuzzy set theory to offer a mathematical frame-work for the integration of arbitrary categories represented by membership functions is one of its most alluring aspects. But complexity arises when the number of criteria to be considered increases. In this paper, we propose a new concept called ‘ordered weighted aggregation operators on multiple sets’, by which the difficulty in considering the choices is minimized. This paper begins with the introduction of aggregation operators and ordered weighted aggregation operators in multiple sets. Along with certain key findings, a theoretical discussion based on them has also been made. Considering all the theories discussed, an application in personnel selection has been depicted in detail. The idea of dual aggregation operators on multiple sets has also been briefly introduced.