The Research On Multiple Attribute Group Decision Making Methods Based On Complex Cubic Q-Rung Orthopair Fuzzy Sets

With the rapid development of social economy,in the current era of " If you are careless,you lose all the game.",no matter in scientific research,medical diagnosis,government decision-making,enterprise investment,business competition,or in people's daily life,the decision-making environment seems to be becoming more and more complex,and various decision-making constraints are also becoming more and more numerous,leading to the final decision results are becoming more and more important.Especially in the big data environment,it is an important research topic and direction of modern decision-making theories and methods to explore the characteristics of big data decision-making,combine with the actual decision-making environment,and use modern scientific methods and advanced technological means to make decisions quickly and effectively.Since 1965,Zadeh proposed the classical fuzzy sets theory,all kinds of extensions of fuzzy sets have sprung up,and several main popular extensions of fuzzy sets are: Intuitionistic fuzzy sets,Pythagorean fuzzy sets,Fermatean fuzzy sets,q-rung orthopair fuzzy sets,etc.,due to the four types of fuzzy sets have both membership degree and non-membership degree,therefore they are also called orthopair fuzzy sets.In recent years,by combining the orthopair fuzzy sets with various aggregation operators and multiple attribute decision making methods,fuzzy sets have become practicality,and have been successfully applied in various decision making environments.As a result,fuzzy sets theory has been developing vigorously.In this paper,by combining the advantages of complex fuzzy sets,cubic fuzzy sets and q-rung orthopair fuzzy sets,a complex cubic q-rung orthopair fuzzy sets is proposed by combining complex q-rung orthopair fuzzy sets with cubic q-rung orthopair fuzzy sets.In order to apply complex cubic q-rung orthopair fuzzy sets to practical decision making activities,a new multiple attribute decision making method was proposed by combining complex cubic q-rung orthopair fuzzy sets with MSM operator and DMSM operator.Furthermore,a new multiple attribute group decision making method is proposed by combining the special case of complex cubic q-rung orthopair fuzzy WMSM operator with EDAS method,and applied to real cases.The feasibility and effectiveness of the proposed method are proved by sensitivity analysis and comparative analysis.The innovation of this paper mainly includes the following aspects:(1)Based on the advantages and strengths of complex q-rung orthopair fuzzy sets and cubic q-rung orthopair fuzzy sets,the definition,operational rules and properties,score function and accurate function of complex cubic q-rung orthopair fuzzy sets are put forward by combining the two kinds of extended q-rung orthopair fuzzy sets,which provide necessary theoretical support for further research in this paper and enrich the theoretical knowledge system of q-rung orthopair fuzzy sets.(2)The MSM operator and DMSM operator are respectively extended to complex cubic q-rung orthopair fuzzy environment.The complex cubic q-rung orthopair fuzzy MSM operator,complex cubic q-rung orthopair fuzzy DMSM operator,complex cubic q-rung orthopair fuzzy WMSM operator and complex cubic q-rung orthopair fuzzy WDMSM operator are proposed,and some special cases are discussed.The feasibility and effectiveness of the proposed method are proved by sensitivity analysis and comparative analysis.(3)A new multiple attribute group decision making method is proposed by combining the special case of complex cubic q-rung orthopair fuzzy WMSM operator with EDAS method.The feasibility and effectiveness of the method are proved by an example.