Full Implication Triple Ⅰ Algorithms and Their Consistency in Fuzzy Reasoning

Abstract:

      Fuzzy reasoning is the mathematical and logical foundation of fuzzy control. How- ever, the conventional CRI algorithms of fuzzy reasoning are short of solid logic foundation. The full implication trip1e I algorithms proposed recently efficiently improve CRI algo- rithms. In this paper, computing formulas and consistency of the triple I algorithms are studied generally, so that the most existing results are included as the special cases of the re- sults given out here. Some new results are obtained with new ideas.