&nbsp;Rules acquisition of group decision-making based on dominance and <br>fuzzy interval objective rough set model and its application

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Journal of Nanjing University(Natural Sciences) ›› 2012, Vol. 48 ›› Issue (4) : 429-435.

Rules acquisition of group decision-making based on dominance and
fuzzy interval objective rough set model and its application

Jiang Xiao-Yao，Huang Bing

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Abstract

In group decision-making theory and its applications how to acquire reasonable and effective group decision rules is one of important issues. In recent years, research on combing rough set theory with group decision making has become one of hot topics in rough set theory. However, group decision rules acquisition based on rough set has been scarcely studied.This paper constructs a dominance relation-based fuzzy interval decision rough set model(RSM) in dominance fuzzy group decision systems where the conditional attributes arc taken dominance notion values and the decision attribute is taken fuzzy values through examing the relation between the dominance classes determined by a conditional attribute set and their corresponding fuzzy decision values and proposes three
knowledge reduction definitions called as dominancrbased lower, dominance-based upper and dominance-based approximation reduction. Using discernibility matrix and discernibility function we devise a kind of lower approximation reduction algorithms for dominance-based fuzzy interval objective information systems. Finallywe apply this model to acquire audit risk assessment rules for bussiness banks and obtain some reasonable audit risk assessment rules for bussiness banks, which can be used to assistant auditors to judge audit risk during bussiness bank auditing.This aprroach presented in this paper can also be applied to other similar fields.

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Jiang Xiao-Yao，Huang Bing. Rules acquisition of group decision-making based on dominance and
fuzzy interval objective rough set model and its application[J]. Journal of Nanjing University(Natural Sciences), 2012, 48(4): 429-435

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