Multiplicative consistency analysis of interval-valued fuzzy preference relations

【Author】 Wan, Shuping; Cheng, Xianjuan; Dong, Jiu-Ying

【Source】INFORMATION SCIENCES

【影响因子】8.233

【Abstract】Interval-valued fuzzy preference relations (IVFPRs) have been applied to many real-life decision -making problems. However, most definitions of consistency of IVFPRs do not satisfy invariability to compared objects' labels. To overcome this drawback, this paper mainly focuses on the mul-tiplicative consistency analysis of interval-valued fuzzy preference relations (IVFPRs). Firstly, this paper proposes a new multiplicative consistency of complete IVFPRs. It is proved that this new multiplicative consistency is robust and invariable to compared objects' labels. Then, the defi-nition of acceptable incomplete IVFPRs (In-IVFPRs) is presented. To make full use of all direct and indirect evaluations of decision-makers, an algorithm is devised to evaluate the missing elements of an acceptable incomplete In-IVFPR. To comprehensively describe the closeness between any two complete IVFPRs, the total deviation of two complete IVFPRs is defined based on the p-norm of a vector. By minimizing the total deviation of two complete IVFPRs, a programming model is built to determine an interval weight vector from a complete IVFPR. Subsequently, a novel decision-making method with an In-IVFPR is proposed. Lastly, three practical and numerical examples and simulation-based comparative analyses are provided to further validate the prac-ticability and advantages of the proposed method.

【Keywords】Decision analysis; Interval -value fuzzy preference relation; (IVFPR); Multiplicative consistency; Acceptably incomplete IVFPR

【发表时间】2023 JUN

【收录时间】2023-07-03

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