2005•Guanli kexue xuebaoRequires access

Research on essential order of decision rules in dichotomous group decision making

Li Wu

Abstract

Karotkin et al discovered that sets of weighted majority rules possess a property of essential order.However,they didn't explain the reason of that. In this paper,we proposed the concept of decision-rule chain and distance function of decision rules,and pointed out that when a set of decision rules compose a decision-rule chain they possess the property of essential order.Therefore the property of essential order is explained.And we can examine whether a set of decision rules compose a decision-rule chain by computing the distances of those decision rules.The conclusion is further illustrated with an example.

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Key concepts: Decision rule, Property (philosophy), Admissible decision rule, Order (exchange), Weighted sum model, Set (abstract data type), Computer science, Function (biology)