Matching dominance
Ying Zhang, Wenjie Zhang, Xuemin Lin, Muhammad Aamir Cheema, Chengqi Zhang · 2014
The dominance operator plays an important role in a wide spectrum of multi-criteria decision making applications. Generally speaking, a dominance operator is a partial order on a set O of objects, and we say the dominance operator has the monotonic property regarding a family of ranking functions F if o1 dominates o2 implies f(o1) ≥ f(o2) for any ranking function f ∈ F and objects o1, o2 ∈ O. The dominance operator on the multi-dimensional points is well defined, which has the monotonic property regarding any monotonic ranking (scoring) function. Due to the uncertain nature of data in many emerging applications, a variety of existing works have studied the semantics of ranking query on uncertain objects. However, the problem of dominance operator against multi-dimensional uncertain objects remains open. Although there are several attempts to propose dominance operator on multi-dimensional uncertain objects, none of them claims the monotonic property on these ranking approaches.