Search results
1 – 2 of 2Quasi‐associative operators are defined and suggested as a general structure useful for representing a class of operators used to combine various pieces of evidence. We show that…
Abstract
Quasi‐associative operators are defined and suggested as a general structure useful for representing a class of operators used to combine various pieces of evidence. We show that both averaging operators and Dempster‐Shafer combining operators can be represented in this new framework.
Details
Keywords
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…
Abstract
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 II.
Originality/value
New functional adaptive rules are put forward based on Residual implicators and t‐conorm operators.
Details