The method of grey related analysis to multiple attribute decision making problems with interval numbers

Multiple attribute decision making is important in many decision making contexts where tradeoffs are involved. The use of qualitative input has proven especially attractive, allowing subjective inputs to be used. However, such systems inherently involve uncertainty with respect to parameter inputs, especially when multiple decision makers are involved. This paper presents the method of grey related analysis to this problem, using interval fuzzy numbers. The method standardizes inputs through norms of interval number vectors. Interval valued indexes are used to apply multiplicative operations over interval numbers. The method is demonstrated on a practical problem. c © 2005 Elsevier Science Ltd. All rights reserved. Keywords—Fuzzy sets, Multiattribute decision making, Grey related analysis, TOPSIS, Selection decisions.