Research On Measures Of Multi-valued Intuitionistic Neutrosophic Sets

Neutrosophic set is an effective tool used to deal with uncertain information in daily life,and it is widely used in multi-attribute decision-making and pattern recognition.The measurement of neutrosophic set is also an important subject in the research of neutrosophic set,including distance,entropy,similarity and so on.Based on different application environments,scholars have proposed various forms of neutrosophic sets and the corresponding measures,and applied them to decision-making problems.In order to enrich the theory of neutrosophic set and expand its scope of application,this dissertation has done the following work on the basis of the existing theory of neutrosophic set:1.The multi-valued intuitionistic neutrosophic set is proposed,with its basic operations and basic properties being provided,and then some fundamental theorems based on the operations are proved.2.Starting from the distance and similarity of existing neutrosophic sets,the distance and similarity of multi-valued neutrosophic sets are systematically discussed,and several measures on distance and similarity of multi-valued intuitionistic neutrosophic sets are constructed.3.Based on the distance of multi-valued intuitionistic neutrosophic set,a multi-attribute decision-making method under the multi-valued intuitionistic neutrosophic environment is proposed.Through the comparison analysis of several illustrative examples,the validity of the distance defined in this paper is demonstrated.