广义Hartley度量及其基本性质

General Hartley Measure and Its Basic Properties

模糊技术是当今智能计算及其优化领域中的一种主要工具,合理地描述和处理不确定信息是复杂生产制造系统优化、人工智能、计算机技术等众多实际领域迫切需要解决的问题。本文在指出现有的度量不确定信息方法不足的基础上,通过信息过滤参数和水平截集的度量值,对具有测量体系的一般论域上的模糊集,建立了广义Hartley度量,讨论了模糊数的广义Hartley度量的基本性质,同时给出了几类特殊模糊数的广义Hartley度量计算公式。

Fuzzy techniques play an important role in current intelligent computations and optimizations,so how to reasonably describe and process uncertain information becomes urgent in many practical domains such as artificial intelligence,computer techniques and optimizations in complex manufcturing systems.In view of the shortcomings of current approaches to measure uncertain information,we develop general Hartley measure for fuzzy sets on general range through information-filtering parameters and measurements about level cut sets.Then we consider the basic properties of general Hartley measure for fuzzy numbers,and present some formulae computing general Hartley measures of special fuzzy numbers.