...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>International journal of general systems >Imprecision indices: axiomatic, properties and applications
【24h】

Imprecision indices: axiomatic, properties and applications

机译：不精确指数：公理，性质和应用

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The paper is devoted to the investigation of imprecision indices. They are used for evaluating imprecision (or non-specificity) contained in information described by monotone (nonadditive) measures. These indices can be considered as generalizations of the generalized Hartley measure. We argue that in some cases, for example in approximation problems, the application of imprecision indices is well justified comparing with well-known uncertainty measures because of their good sensitivity. In the paper, we investigate properties of so called linear imprecision indices; in particular, we introduce their various representations and describe connections to the theory of imprecise probabilities. We also study the algebraic structure of imprecision indices in the linear space and describe the extreme points of the convex set of all possible imprecision indices, in particular, of imprecision indices with symmetrical properties. We also show how to measure inconsistency in information by impression indices. At the end of the paper, we consider the application of imprecision indices in analysing the applicability of different aggregation rules in evidence theory.
机译：本文致力于不精确指数的研究。它们用于评估单调（非累加）度量描述的信息中包含的不精确（或非特异性）。这些指数可以被认为是广义哈特利测度的概括。我们认为，在某些情况下，例如在逼近问题中，不精确指数的应用与众所周知的不确定性度量相比具有很好的合理性，因为它们具有良好的敏感性。在本文中，我们研究了所谓的线性不精确指数的性质。特别是，我们介绍了它们的各种表示形式，并描述了与不精确概率理论的联系。我们还研究了线性空间中不精确指数的代数结构，并描述了所有可能的不精确指数，特别是具有对称性质的不精确指数的凸集的极点。我们还将展示如何通过印象指数来衡量信息的不一致。在本文的最后，我们考虑了不精确指数在分析证据理论中不同聚合规则的适用性方面的应用。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号