Triple I method based on pointwise sustaining degrees

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Abstract

The concept of the pointwise sustaining degrees is first introduced, and based on it the triple I principles for fuzzy modus ponens (FMP for short) and fuzzy modus tollens (FMT for short) are improved. And then, for the sake of making more implications can be used under the same way, general computing formulas of the triple I method for FMP and FMT are established under weaker conditions. Thus, the existing unified forms of triple I method are generalized to new forms.

Keywords

Fuzzy reasoning
Triple I method
Triple I principle
Pointwise sustaining degree
Implication operator

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Supported by the National Natural Science Foundation of China (No. 60774100) and China Postdoctoral Science Foundation (No. 20070410375).