Title :
Study on Fuzzy AHP Group Decision-Making Method Based on Set-Valued Statistics
Author :
Tang, Hong ; Zhang, Jie
Author_Institution :
Beijing Inst. of Technol., Beijing
Abstract :
With respect to fuzzy AHP group decision-making problem in which the result is fuzzy number, a new method of fuzzy AHP is presented based on set-valued statistics. Firstly the definition of uniformly interval number judgment matrix is given; secondly interval number weight vector is calculated based on interval number eigenvector method. At last, a real number result is derived. An example is given to demonstrate the feasibility and rationality of the proposed method. Compared with gray relational analysis method, it is more simply and conveniently.
Keywords :
decision making; eigenvalues and eigenfunctions; fuzzy set theory; game theory; group theory; matrix algebra; fuzzy AHP group decision-making method; fuzzy number; gray relational analysis; interval number eigenvector method; interval number judgment matrix; interval number weight vector; set-valued statistics; Decision making; Eigenvalues and eigenfunctions; Fuzzy sets; Fuzzy systems; Information science; Mathematics; Military communication; Statistical analysis; Statistics; Systems engineering and theory;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2007. FSKD 2007. Fourth International Conference on
Conference_Location :
Haikou
Print_ISBN :
978-0-7695-2874-8
DOI :
10.1109/FSKD.2007.541