DocumentCode :
2809909
Title :
Gray relational analysis decision-making model based on interval number operation rule
Author :
Yin, Sui ; Gang, Li
Author_Institution :
Dept. of Open Teaching, Anyang Univ. of Radio & Telev., Anyang, China
fYear :
2011
fDate :
15-17 July 2011
Firstpage :
4100
Lastpage :
4103
Abstract :
Based on a large number of multi-attribute decision making problems with interval numbers in the social economy and engineering system, this paper defines and analyses the basic operation rules of interval numbers, standardized methods, sequence comparison strategy, interval number distance and the formulas of interval number sequence distance. It also gives the decision making model of weighted gray relational analysis(GRA) based on interval number operation rule, then this model solves many key problems, such as the solution of standardized matrix in the decision making system, the selection of reference sequence, and the calculation of gray relational coefficient with interval numbers. The model improves the insufficiency of weighted GRA which only applies to real number type primitive attribute matrix, and improves the effectiveness, practicability and the adapting surface. Besides, the optimized location of the fire station can be solved well by this model. The decision making model of weighted gray relational analysis based on interval number operation rule provides a scientific, practical ways and means to solve the multi-objective decision making problems with interval number.
Keywords :
decision making; facility location; grey systems; matrix algebra; engineering system; fire station location; gray relational analysis decision making model; gray relational coefficient; interval number operation rule; interval number sequence distance formulas; multiattribute decision making problems; real number type primitive attribute matrix; sequence comparison strategy; social economy; standardized methods; Adaptation models; Analytical models; Decision making; Information science; Mathematical model; Gray Relational Analysis(GRA); interval number; mathematical model; multi-attribute decision making; optimal location;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Mechanic Automation and Control Engineering (MACE), 2011 Second International Conference on
Conference_Location :
Hohhot
Print_ISBN :
978-1-4244-9436-1
Type :
conf
DOI :
10.1109/MACE.2011.5987904
Filename :
5987904
Link To Document :
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