Research On Some Issues For Fuzzy Numbers Multiple Attribute Decision-Making And Applications

Multiple attribute decision making (MADM) is an important branch of moderndecision sciences. Its theory and method are widely applied to many areas. Because ofcomplexity and uncertainty of the objective things, it is often difficult for people to giveprecise numbers in decision-making process, the attribute values is fuzzy decisionmaking information that take the form of such as triangular fuzzy numbers, intervalnumbers or linguistic variables. Therefore, the research on fuzzy MADM has importantsignificance in theories and practices. This paper is mainly concerned with the fuzzyMADM problems under some situations, and the main research works are as follows:First of all, the MADM problem with dynamic triangular fuzzy numbers is studied.Aiming at the dynamic multi-attribute decision making problems, which weights ofeach period are given and attribute values in different periods are given in the form oftriangular fuzzy numbers, a fuzzy ordered weighted geometric averaging (FOWGA)operator is presented. The operator can aggregate attribute information of differentperiod by horizontal and vertical method， and then getting a ranking alternativesmethod. Finally, an example was given to approve the effectiveness and feasibility ofthe method.Then, the multi-granular linguistic term sets based on triangular fuzzy number andtwo-tuple linguistic information are investigated. Some fusion methods ofmulti-granular linguistic term sets are analyzed.Finally, the problem of multi-granularity interval linguistic informationaggregation is investigated. The continuous ordered weighted geometric (C-OWGA)averaging operator is extended to accommodate multi-granularity interval linguisticenvironment， thus continuous interval two-tuple OWGA(ITC-OWGA) operator is proposed． Based on ITC-OWGA operator, some new operators， such as weightedharmonic ITC-OWGA (WHITC-OWGA) operator, ordered weighted harmonicITC-OWGA (OWHITC-OWGA) operator, and its properties are proposed discussed．Then an approach is developed to apply these relative operators to the multi-granularityinterval linguistic dynamic multi-attribute decision making， by which the attributeweight information is known and the attribute information is the interval two-tuplelinguistic information．...