基于条件熵的直觉模糊条件推理

陈昊; 杨俊安; 黄文静

doi:10.3724/SP.J.1146.2008.01215

基于条件熵的直觉模糊条件推理

doi: 10.3724/SP.J.1146.2008.01215

基金项目:

国家自然科学基金(60175018)和安徽省自然科学基金(050420101)资助课题

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出版历程
- 收稿日期: 2008-09-25
- 修回日期: 2009-02-23
- 刊出日期: 2009-08-19

Intuitionistic Fuzzy Conditional Reasoning Based on Conditional Entropy

摘要

摘要: 该文在利用隶属度和犹豫度计算直觉模糊逻辑命题真值的对称合成方法的基础上，提出了一种基于条件熵的直觉模糊条件推理新算法。将直觉模糊条件推理规则的前件和后件与决策信息系统的条件属性和决策属性等价起来，条件属性、决策属性和推理规则均视为直觉模糊命题，直觉模糊命题的真实程度转化成一种决策规则前件对后件的条件熵的度量，并给出了条件熵的范围，从而确定直觉模糊命题的真实程度的范围。
- 条件熵;直觉模糊条件推理;条件属性;决策属性;推理规则
Abstract: This paper proposes one new method of integrating intuitionistic fuzzy conditional reasoning with conditional entropy based on the hypothesis of an equilibrium state of supportability and opposability of neutral evidences indicated in the intuitionistic index. The first component and last component as conditional attributes and decision attributes in decision and information system is considered. For conditional attributes, decision attributes and decision rules all can be treated as intuitionistic fuzzy propositions, the confidence degree of intuitionistic fuzzy propositions is measured by conditional entropy. At the same time, the range of conditional entropy, which demonstrates the confidence degree of intuitionistic fuzzy propositions is also calculated.

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