A Note on Z-numbers
A Note on Z-numbers
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DOI：
10.1016/j.ins.2011.02.022
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发表时间：
2011-07
期刊：
影响因子：
--
通讯作者：
L. Zadeh
中科院分区：
文献类型：
--
作者：
L. Zadeh
决策基于信息。为了有用，信息必须可靠。基本上，Z 数的概念涉及信息的可靠性问题。 Z 数 Z 有两个组成部分：Z=(A,B)。第一个分量 A 是对实值不确定变量 X 允许取的值的限制（约束）。第二个组件 B 是第一个组件的可靠性（确定性）的度量。通常，A和B是用自然语言描述的。示例：（大约45分钟，非常确定）。一个重要的问题涉及 Z 数的计算。示例：（大约 45 分钟，非常确定）和（大约 30 分钟，当然）之和是多少？的平方根是多少（可能约为 100）？ Z 数计算属于字计算（CW 或 CWW）的范围。在本文中，介绍了 Z 数的概念并概述了 Z 数的计算方法。 Z 数的概念具有许多应用的潜力，特别是在经济学、决策分析、风险评估、预测、预期以及不精确函数和关系的基于规则的表征领域。
Decisions are based on information. To be useful, information must be reliable. Basically, the concept of a Z-numbers relates to the issue of reliability of information. A Z-numbers, Z, has two components, Z=(A,B). The first component, A, is a restriction (constraint) on the values which a real-valued uncertain variable, X, is allowed to take. The second component, B, is a measure of reliability (certainty) of the first component. Typically, A and B are described in a natural language. Example: (about 45min, very sure). An important issue relates to computation with Z-numbers. Examples: What is the sum of (about 45min, very sure) and (about 30min, sure)? What is the square root of (approximately 100, likely)? Computation with Z-numbers falls within the province of Computing with Words (CW or CWW). In this note, the concept of a Z-numbers is introduced and methods of computation with Z-numbers are outlined. The concept of a Z-numbers has a potential for many applications, especially in the realms of economics, decision analysis, risk assessment, prediction, anticipation and rule-based characterization of imprecise functions and relations.