中介真值程度的度量及其应用(Ⅱ)  

Measure of Medium Truth Scale and Its Application (Ⅱ)

作　　者：洪龙[1] 肖奚安[2] 朱梧槚[3] 

机构地区：[1]南京邮电大学计算机学院,南京210003 [2]中国人民解放军理工大学理学院,南京210016 [3]南京航空航天大学信息科学与技术学院,南京210016

出　　处：《计算机学报》2007年第9期1551-1558,共8页Chinese Journal of Computers

基　　金：国家"九七三"重点基础研究发展规划项目基金(G1999032701);国家自然科学基金(60273037);南京邮电大学攀登项目基金(NY206010)资助

摘　　要：结合中介逻辑中的模糊否定词和真值程度词的语义,论述了研究中介真值程度的度量对于应用的必要性;在对个体研究的基础之上,从离散型和连续型两个方面讨论了集合的真值程度的度量;在建立中介标准度后,提出模糊程度概念,提出中介熵定义,并讨论了中介熵的最大值.针对反对对立强调两个概念之间存在"最大的差异",提出弱化"两极",突出"过渡"的观点.在对过渡与对立进行了一般性讨论后,建立了标准数值化映射和广义数值化映射概念,构造性地证明了过渡情形能转换为反对对立情形的充分条件.这表明在处理工程实践和科学研究中的模糊现象时,可以把所有存在过渡的情形作为反对对立处理,从而使中介真值程度的度量可以在更加广阔的领域得到应用.　It is introduced concisely that researching measure of medium truth scale （MMTS） for application is essential after analyzing the characteristics of semantics of fuzzy negation and truth-value degree. The MMTS of sets is discussed from both discrete and continuous based on MMTS of individual. After establishing medium standard pointer, fuzzy scale and medium entropy are proposed, and the greatest value of medium entropy is discussed. In accordance with de-emphasizing ＂maximum difference＂ between concepts with opposite properties, the idea of weakening polarization and strengthening transition are presented. After a general discussion on transition and polarization, normal numerical quantification mapping and generalized numerical quantification mapping are constructed, and the sufficient condition for converting transition to opposing polarization is established. This shows all cases existed transition may be process as object opposites while processing vague phenomenon in engineering and scientific research, so that MMTS can find wide application in more fields.

关 键 词：真值程度 集合 度量 模糊程度 中介熵 过渡 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]