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Fuzzy Multi-atrribute Decision Making Based on Vague Sets

Author: WangHaiXia
Tutor: DaiWenZhan
School: Zhejiang University of Technology
Course: Control Theory and Control Engineering
Keywords: Fuzzy Multiple Attribute Decision Making Vague Sets Three parameters i-v Vague Sets Interval Linguistic variables
CLC: TP18
Type: Master's thesis
Year: 2011
Downloads: 80
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Abstract


Fuzzy Multiple Attribute Decision Making (FMADM) theoretical and methodological experienced forty years of development, has become an important branch of decision theory , economic management , financial investment , project evaluation and military decision-making , and many other fields have a wide range of applications, the current decision theory is still hot , although in theory and applications has made a lot of progress, but still some problems to be solved, this dissertation on the basis of previous studies , based on Vague set Theory to linguistic variables and interval number for the secondary on fuzzy multiple attribute decision making problems are studied , the main research work is summarized as follows : ( a ) fuzzy Multiple Attribute decision Making research introduced based on interval number , Vauge sets, linguistic variables fuzzy Multiple Attribute decision Making research , analysis fuzzy Multiple Attribute decision Making current problems and discusses future fuzzy multi-attribute decision theory and methods may research directions. ( 2 ) hybrid multi- attribute decision making problems and its application a. For hybrid multi- attribute decision making problem, a description of the linguistic variables qualitative indicators and quantitative indicators of numerical description Vague value into a unified approach ; b. Constructed based on Vague set mixed attribute model of multi-attribute decision making ; c. application of TOPSIS to solve the model proposes a positive ideal solution closest to better reflect negative ideal solution but far from comprehensive evaluation , and gives based on Vague Set hybrid multi-objective decision attribute specific steps ; d. Finally its application to practical cases , the results show that the method is reasonably practicable . ( 3 ) based on three parameters iv Vague sets Fuzzy Multiple Attribute Decision Making Method Research and Application of a. Vague set against the traditional representation of fuzzy information , this paper proposes three sets of parameters iv Vague concept , which uses three parameters interval number indicates Vague Sets true, false membership and gives the three parameters interval method for determining the number of nuclei ; b. constructed based on three parameters iv Vague sets of fuzzy multi-attribute decision model ; c. proposed gray relational analysis and TOPSIS method combined to solve the model , select the program from the ideal and most recently the ideal solution to the feasibility of the program is close to the trend of the optimal solution ; d. Finally its application to risk investment program selection and recruitment companies , and achieved good results.

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