Toward an Information Theory Foundation for Aggregation Processes

聚合过程对于包括工程学、计算机科学、决策科学、统计学、经济学和其他社会科学在内的许多科学都是至关重要的。这项研究的目的是为几类核心的聚集过程建立一个数学的、信息的理论基础。在这一基础上发展的想法是，该理论可能能够描述各种错误和悖论，以及可能出现的各种期望的特征。预计该理论将能够根据具体的一套标准确定最佳的程序选择。这一理论将应用于来自不同学科的几个特定的程序类别。因此，预计计算机科学与工程、决策与选择理论、经济学、统计学等领域将出现几种新的结果。

Aggregation procedures are of critical importance to a large number of the sciences, including engineering, computer science, decision science, statistics, economics and other social sciences. The purpose of this research is to develop a mathematical, information theory foundation for several central classes of aggregation processes. The idea in the development of this foundation is that the theory may be able to characterize the kinds of faults and paradoxes, as well as the kinds of desired traits that can occur. It is expected that the theory will be able to determine the best choice of procedures subject to specified sets of criteria. This theory will be applied to several specific classes of procedures coming from diverse disciplines. Thus, it is expected that several new kinds of results will emerge for computer science and engineering, decision and choice theory, economics, statistics, ect.