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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 6 > No. 6-3S


A Method for Aggregating Group Preference Based on Pair-wise Comparison with Random Binary Relations under Interval Belief Structures

PP: 869-880
Chunxiang Guo, Qiang Guo,
The aim of this paper is to develop an approach to solve the decision-making problem of random lattice order group, where the preference information on alternatives pair provided by experts is in the form of uncertain binary preference relations. In this paper, firstly, the preference characterization of decision makers is extended from four various binary relations to seven various binary relations. We give the definition and properties of significance degree, interval belief and interval-valued distribution preference vector. Then, to process uncertain binary preference relations, a comparison matrix about interval significance degree of preference relations is constructed. Based on the interval-valued comparison matrix, the interval significance degree by approximation models is driven, so we need to aggregat group preference to interval-valued distribution preference vector of decision group. Furthermore, the comparison principle of interval number and the method to determine the binary relation are presented. Finally, example is used to illustrate the use of the proposed approach.

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