| There are two parts in this paper. The major contents of the first part are intuitionistic fuzzy reasoning of intuitionistic fuzzy sets. Firstly, the t-norm and t-conorm on intuitionistic fuzzy sets based on the concepts of t-norm and t-conorm on interval [0,1] are introduced. Secondly, 11 kinds of intuitionistic fuzzy implication operators are acquired. Finally, two models of intuitionistic fuzzy reasoning: IFMP and IFMT are given. The process and conclusion of the reasoning are studied by use of three implication operators, which are Zadeh, Mamdani and .The major contents in part two are interval valued intuitionistic fuzzy reasoning. First, the concept of interval valued intuitionistic fuzzy relation is introduced by t-norm and t-conorm on interval [0,1]. Then we study the operation and composition of the relation. At last, interval valued intuitionistic fuzzy reasoning is studied by Zadeh implication operator.
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