Research On VIKOR Methods Based On Fuzzy Information

Multiple attribute decision making methods have wide applications in many fields including society,economy,management and military,etc.They can be used to solve problems such as investment,personnel assessment,medical diagnosis and military system evaluation.With the development of technology and society,decision makers would like to evaluate with fuzzy and uncertain values and the decision problems become fuzzy decision problems,which can be solve by using fuzzy decision making methods.Some new multiple attribute decision making methods have been studied in this paper to solve decision making problem in different types of fuzzy environments.A new interval-valued intuitionistic fuzzy multiple attribute decision making method based on VIKOR has been proposed.Firstly,Choquet integral has been used to model correlation between attributes and calculate attribute weights.Then,new interval-valued intuitionistic fuzzy VIKOR method has been developed.Finally,new method has been used in evaluating construction of special towns.Different attributes have different attribute weights and utility index and regret index have been considered.Pythagorean hesitant fuzzy VIKOR method is proposed.Firstly,gray correlation degree is used to describe the relationship between the attribute.Secondly,Pythagorean hesitant fuzzy multiple attribute decision making method based on VIKOR is proposed.Finally,selection of company location problem has been used to illustrate feasibility and effectiveness of the new method.The advantage of this method is that weights are determined according to the gray correlation degree and attribute weights are different for different alternatives,which can lead to more reasonable decision making results.A three-way decision-making method in Pythagorean fuzzy environment is proposed.Similarity function of Pythagorean fuzzy numbers is firstly defined and a new ranking method of Pythagorean fuzzy numbers is presented.Then by using the idea of VIKOR method,we give the method to calculate conditional probability.We algo give the calculation method of expected loss L function,and divide alternatives into three pair-wise disjoint regions.Finally,the new method is applied to site selection problem.Compared with the previous methods,the conditional probability obtained by the idea of VIKOR method is more reasonable,and the three-way decision method is extended to the Pythagorean fuzzy environment.A linguistic MULTIMOORA multiple attribute group decision making method is proposed.Firstly,the correlation degree between experts has been defined to determine the weight of experts.Then,a new intuitionistic fuzzy entropy is proposed by considering influence of membership and non-membership degree,which is used to calculate attribute weights.The linguistic MULTIMOORA multiple attribute group decision making method is given by using the ratio system,reference point method and multiplication model to obtain comprehensive ranking.Finally,the selection of garbage disposal alternatives is presented.The advantages of the new method are that correlation between experts is considered,and the attribute weights are solved by using the new intuitionistic fuzzy entropy.A new TOPSIS multiple attribute decision making method is presented based on probabilistic language term information.Firstly,a deviation degree reflecting the relationship between all pairs of values in the probabilistic linguistic term set is proposed to compare the probabilistic linguistic term elements.Then,some distances are proposed for probabilistic linguistic term elements.Finally,a new multiple attribute decision making method is proposed based on the generalized distance of discrete probabilistic linguistic term elements and TOPSIS to solve the problem of company project selection.