LOGICAL AGGREGATION - WHY AND HOW

摘要

The aggregation of many features into one representative is relevant for quite different research areas such as: social science, engineering, computer science, psychology, etc. In this paper, aggregation is treated as a logical and/or pseudo-logical operation. The first step in Logical Aggregation (LA) is normalization of attributes - free variables. Aggregation function in a general case is the weighting sum of partial demands. Partial demands for LA can be adequately described only by logical functions of analyzed attributes. Any logical function can be uniquely transformed into a corresponding generalized Boolean polynomial, using Interpolative Boolean algebra. It is interesting that most of conventional aggregation operators (for example Choquet integral and fuzzy measure) are only the special cases of logical aggregation operators.