Research Orn Intuitionistic Hesitant Fuzzy Sets Multiple Decision-making Methods

Decision-making is closely related to our life.based on the fuzzy set theory in the multi-attribute decision-making problem in the application of the extensive.It is more and more people of all ages.Therefore,it is very important to study the fuzzy multi-attribute decision-making method.In this paper,intuitionistic hesitant fuzzy sets are considered as the research object,study on decision making for intuitionistic hesitant fuzzy sets based on distance,correlation coefficient and inclusion measure theory.Intuitionistic hesitant,fuzzy sets are introduced and its related properties based on intuitionistic fuzzy sets and hesitant fuzzy sets,define the distance measures and cosine similarity measures of intuitionistic hesitant fuzzy sets considering the hesitation degrees and discuss their properties.Further multi-criteria decision-making methods which on the basis of the intuitionistic hesitant fuzzy distances and cosine similarity measures are proposed.Define the correlation coefficient and weighted correlation coefficient of intuitionistic hesitant fuzzy sets.related properties are discussed.Give the method of multi-criteria decision-making based on intuitionistic hesitant fuzzy correlation coefficient further use specific example to illustrate the effectiveness of the method.Define the partial order relationship of intuitionistic hesitant fuzzy elements(sets).the introduction of hybrid monotonic inclusion measure theory in intuitionistic hesitant fuzzy sets.Furthermore,the related similarity measure,distance measure and entropy measure of intuitionistic hesitant fuzzy sets are postulated.Inclusion measure theory is applied in intuitionistic hesitant fuzzy multi-criteria,decision-making.