Data fusion: a study of adaptative combinations with incomplete certainty qualification - Part I: algebraical and behavioral properties
Purpose - In previous work, the algebraical properties of this rule and its relationship with other generalized operator was studied. In this paper, the aim is to focus on one of the previous steps, which consists in certainty qualification, and it is investigated how this factor influences the behavior of the induced combination rule. Design/methodology/approach - Dubois and Prade have proposed an adaptive combination rule that moves gradually from a conjunctive mode to a disjunctive mode as soon as the conflict between the sources increases. The proposal can be viewed as a result of some rational steps. This includes: conjunctive combination; re-normalization of a subnormal result that may results from conjunctive operation where the lack of normalization is interpreted as a conflict certainty qualification; restriction of the conflict influence; generalization to more than two sources. Findings - Algebraical properties of the proposals have been investigated and illustrations of some special cases are highlighted and evaluated. Further studies continue in Part H. Originality/value - New functional adaptive rules are put forward based on Residual implicators and t-conorm operators.
cybernetics probability theory