Evaluation criteria on down-compatibility degree of fuzzy inference mechanism

Being not down-compatible with classical two-value logic inference mechanism, fuzzy inference mechanism (FIM) would get absurd conclusions even in the simplest cases. To strictly evaluate down-compatibility degree and to build new FIM with high down-compatibility degree, a series of formulized criterions are presented based on compatibility of truth space and match modes, and logic consistence of conclusions derived by homologous composite premises from different FIMs. These criteria could offer both formal evaluation scales and revise guidelines. According to these criteria, some FIMs are lower in terms of down-compatibility degree and then revised up to the highest degree under its guidelines.