Study On Multi-attribute Decision Making Method Based On Fuzzy Soft Sets

With the development of the society, Multi-attribute Decision Making (MADM forshort), as an important content of decision making and a branch of Multi-criteriaDecision Making (MCDM for short), witnesses its great advance in the aspects of itstheory as well as its methods. The theory of MADM and its methods, which have beenwidely used in the fields of economy, society, politics, military etc., has achieved hugeeconomic and social benefits. Yet, as people are confronting with more and morecomplicated decision making problems, existing theory and methods on MADM are farfrom meeting the needs of practical decision making problems. So, it is a must todevelop and better MADM theory and its methods.In this study, by introducing the fuzzy soft set theory into MADM, multi-attributedecision making theory and its method based on fuzzy soft set is proposed. The studymainly focuses on researches on traditional fuzzy soft set theory and its method ofmulti-attribute decision-making, on interval fuzzy soft set theory and its method ofmulti-attribute decision-making, on triangle-valued fuzzy soft set theory and its methodof multi-attribute decision-making, on trapezoidal-valued fuzzy soft set theory and itsmethod of multi-attribute decision-making.On the basis of an analysis of existing traditional fuzzy soft set and interval-valuedfuzzy soft set, combined with their multi-attribute decision making problems’ features,the existing traditional fuzzy soft set and interval-valued fuzzy soft set are introducedinto MADM. By referring to the existing traditional fuzzy soft set decision makingmethods and interval-valued fuzzy soft set decision making methods, the decisionmaking methods, including the general multi-attribute decision making method of thebasic fuzzy soft set, the combined multi-attribute decision making method of the basicfuzzy soft set, multi-attribute decision making method of traditional intuitionistic fuzzysoft set, multi-attribute decision making method of the basic interval-valued fuzzy softset, multi-attribute decision making method of interval-valued intuitionistic fuzzy softset, are constructed. All of above are proved to be valid and feasible by examples.But the existing fuzzy soft set theory and methods can not efficiently solve theproblems brought about by the attribute value in the forms of triangle-valued fuzzynumber or trapezoidal-valued fuzzy number. In order to resolve these problems, in viewof the features of these problems, triangle-valued fuzzy soft set and trapezoidal-valued fuzzy soft set are proposed. In addition, multi-attribute decision making method oftriangle-valued fuzzy soft set and multi-attribute decision making method oftrapezoidal-valued fuzzy soft set are constructed. These two multi-attribute decisionmaking methods are proved to be valid and feasible by examples.