煤矿瓦斯风险评估中的多值逻辑

The Multi-Valued Logic in Coal Mine Gas Risk Assessment

煤矿瓦斯风险评估中因风险状态渐变连续,所以单风险隶属度是可取[0,1]区间上一切实数,可表征"部分属于"模糊状态的模糊隶属度.因此由单风险隶属度确定多风险隶属度实现的是模糊状态转换,所以支撑隶属度转换的不是二值逻辑而是多值逻辑.在多值逻辑研究中,基于"取大取小"推理的模糊逻辑不是数学逻辑,"加权平均"的模糊综合评判是"假设"不是推理.所以处理模糊信息的多值逻辑尚需深入研究.指出隶属度转换不是线性转换的原因是,单风险模糊隶属度中可能包含对确定多风险隶属度不起作用的非线性冗余值.通过确定冗余值的数学表达式建立冗余理论,用冗余理论界定模糊隶属度转换不是线性转换,并推导去冗算法实现隶属度转换.由此建立处理模糊信息的多值逻辑.

In coal mine risk assessment,because of the risk status of the gradient is continuous,the single risk membership degree of coal mine gas risk assessments can take to all real numbers of the interval[0,1],which stand for the fuzzy membership degree of the fuzzy status at part belonging to.It＇s not the binary logic,it＇s the multi-valued logic for realizing the fuzzy state transformation from the single risk membership degree to the multi-risk membership degree.In the multi-valued logic,the fuzzy logic based on ＂choosing big or small＂ is not a mathematical logic.The fuzzy comprehensive evaluation using the weighted average model is a ＂hypothetical＂ not a inference.Therefore,deal with fuzzy information of multi-valued logic still needs further study.Thus this paper pointed that the reason why the membership degree conversion is not the linear conversion is that the single risk fuzzy membership degree may contain the nonlinear redundancy value which can＇ t take effect to ensure multirisk membership degree conversion.The redundancy theory is established by determining the mathematical expression of the redundant value.Using the redundant theory to define the fuzzy membership conversion is not linear conversion,and derive the redundant algorithm realized the membership degree conversion.Thus,this paper establishes the multi-valued logic that can deal with fuzzy information.