Average-case consistency measurement and analysis of interval-valued reciprocal preference relations

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• 作者：Yucheng Dong^a ; ^{ycdong@scu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Cong-Cong Li^a ; ^{congcongli@stu.scu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Francisco Chiclana ; ^b ; ^{chiclana@dmu.ac.uk" class="auth_mail" title="E-mail the corresponding author} ; Enrique Herrera-Viedma^c ; ^d ; ^{viedma@decsai.ugr.es" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Decision analysis ; Reciprocal preference relation ; Interval-valued preferences ; Consistency measurement ; Average-case consistency
• 刊名：Knowledge-Based Systems
• 出版年：2016
• 出版时间：15 December 2016
• 年：2016
• 卷：114
• 期：Complete
• 页码：108-117
• 全文大小：745 K

文摘

Measuring consistency of preferences is very important in decision-making. This paper addresses this key issue for interval-valued reciprocal preference relations. Existing studies implement one of two different measures: the “classical” consistency measure, and the “boundary” consistency measure. The classical consistency degree of an interval-valued reciprocal preference relation is determined by its associated reciprocal preference relation with highest consistency degree, while the boundary consistency degree is determined by its two associated boundary reciprocal preference relations. However, the consistency index of an interval-valued reciprocal preference relation should be determined by taking into account all its associated reciprocal preference relations. Motivated by this, a new consistency measure for interval-valued reciprocal preference relations, the average-case consistency measure, is suggested and introduced. The new average-case consistency measure of an interval-valued reciprocal preference relation is determined as the average consistency degree of all reciprocal preference relations associated to the interval-valued reciprocal preference relation. Furthermore, the analysis and comparison of the different consistency measure internal mechanisms is used to justify the validity of the average-case consistency measure. Finally, an average-case consistency improving method which aims to obtain a modified interval-valued reciprocal preference relation with a required average consistency degree is developed.