| Based on the theory of fuzzy reasoning, the intuitionistic fuzzy entropy and interval-valued intuitionistic fuzzy entropy, the paper studies the fuzzy entropy problems of the intuitionistic fuzzy sets and interval-valued intuitionistic fuzzy sets in fuzzy reasoning.First of all, the axiomatic definition of the intuitionistic fuzzy entropy is discussed according to the fuzziness and uncertainty of the intuitionistic fuzzy sets. And the specific calculation formula is given in this paper.Secondly, the weight and the new distance measure are gotten in accordance with the new intuitionistic fuzzy entropy. The new entropy weight and the new distance measure are applied to solve intuitionistic fuzzy reasoning problems in the paper.Again, the paper researches the current theory of interval-valued intuitionistic fuzzy entropy and gives a new axiomatic definition of the interval-valued intuitionistic fuzzy entropy. Next the calculation formula of the interval-valued intuitionistic fuzzy entropy is obtained.Last but not the least, taking the fuzziness and unknown of interval-valued intuitionistic fuzzy sets into account, the paper puts forward a new weighted Hamming distance measure. And the weight determined by the entropy for intuitionistic fuzzy sets is effectively applied to the interval-valued intuitionistic fuzzy reasoning. |
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