INTRODUCTION TO A N E W CLASS OF AGGREGATION OPERATORS ON MULTIPLE SETS

Multiple set theory has been introduced with the motive of getting a new mathematical tool that can easily handle the uncertainty of an object along with its multiplicity. This paper introduces a new class of Aggregation operators viz., Monotonic Anti Monotonic (MAM), Monotonic On Monotonic (MOM), and Monotone Identity Commutative Aggregation (MICA) on multiple sets. Also, some of their basic properties are discussed. Further, improved results are obtained by comparing t-norm, t-conorm, and uni-norm operators in multiple sets.