Fuzzy Reasoning Methods Based On Single Valued Neutrosophic Sets And Their Application In Pattern Recognition

Fuzzy reasoning plays an important role in fuzzy sets theory.At present,the research on fuzzy reasoning has achieved fruitful results.However,fuzzy reasoning algorithms based on single valued neutrosophic sets are few and in their infancy.Single valued neutrosophic sets have significant advantages in solving indefinite and inconsistent information,and can effectively avoid the loss of information.In this paper,we study the fuzzy reasoning algorithm based on single valued neutrosophic sets trepresentable triangular norm and a new distance between single valued neutrosophic sets.The specific research contents and innovations of this thesis are outlined as follows:(1)Single valued neutrosophic fuzzy reasoning triple implication algorithms based on single valued neutrosophic residual implication induced by single valued neutrosophic t-representable t-norm are proposed,and the reducibility of the algorithm is proved.Furthermore,the robustness of the solution of the full implication algorithm based on three special single valued neutrosophic implication operators.Finally,we apply the algorithm to pattern recognition problems.(2)Single valued neutrosophic fuzzy reasoning quintuple implication algorithms based on single valued neutrosophic residual implication induced by single valued neutrosophic t-representable t-norm are proposed.The algorithm fully considers the degree of approximation of the input and rule antecedents.Furthermore,we discuss the reducibility and study the robustness of the algorithms and apply its in pattern recognition problems.(3)A new distance between single valued neutrosophic sets based on the strict binary monotonic function and matrix norm is given.Furthermore,a pattern recognition algorithm based on the distance is given.The distance is analyzed and compared with the existing distance through examples of pattern recognition.The distance has a much higher degree of confidence than existing distance,which proves the feasibility and effectiveness of the distance.