caa a22 4500 605470189 CHVBK 20210128100326.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s00500-014-1426-2 doi (NATIONALLICENCE)springer-10.1007/s00500-014-1426-2 Consistency issues of interval pairwise comparison matrices [Elektronische Daten] [Yucheng Dong, Xia Chen, Cong-Cong Li, Wei-Chiang Hong, Yinfeng Xu] In this paper, we investigate the consistency issues of interval pairwise comparison matrices in detail. Using logarithmic Manhattan distance to define the deviation degree of a pairwise comparison matrix to consistent pairwise comparison matrices, we propose a new consistency index of pairwise comparison matrices. Based on this consistency index of pairwise comparison matrices, we develop a consistency index of interval pairwise comparison matrices. Several desired properties of the proposed consistency indexes are presented. Furthermore, linear programming (LP) models are developed to compute the consistency indexes. Then, we propose a LP-based consistency improving model, which optimally preserves original pairwise comparison information in improving consistency. Meanwhile, considering the uncertainty plays an important role in the consistency index of interval pairwise comparison matrices, this consistency improving model is extended to simultaneously manage the uncertain degree in interval pairwise comparison matrices. Finally, we discuss the consistency-based prioritization method, and propose the strong consistency index of interval pairwise comparison matrices. Springer-Verlag Berlin Heidelberg, 2014 Multiple attribute decision making nationallicence Interval pairwise comparison matrix nationallicence Consistency nationallicence Linear programming nationallicence Dong Yucheng Business School, Sichuan University, 610065, Chengdu, People's Republic of China aut Chen Xia Business School, Sichuan University, 610065, Chengdu, People's Republic of China aut Li Cong-Cong Business School, Sichuan University, 610065, Chengdu, People's Republic of China aut Hong Wei-Chiang Department of Information Management, Oriental Institute of Technology, No. 58, Section 2, Sichuan Road, Panchiao, 220, Taipei, Taiwan aut Xu Yinfeng Business School, Sichuan University, 610065, Chengdu, People's Republic of China aut Soft Computing Springer Berlin Heidelberg 19/8(2015-08-01), 2321-2335 1432-7643 19:8<2321 2015 19 500 https://doi.org/10.1007/s00500-014-1426-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00500-014-1426-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dong Yucheng Business School, Sichuan University, 610065, Chengdu, People's Republic of China aut NATIONALLICENCE 700 1- Chen Xia Business School, Sichuan University, 610065, Chengdu, People's Republic of China aut NATIONALLICENCE 700 1- Li Cong-Cong Business School, Sichuan University, 610065, Chengdu, People's Republic of China aut NATIONALLICENCE 700 1- Hong Wei-Chiang Department of Information Management, Oriental Institute of Technology, No. 58, Section 2, Sichuan Road, Panchiao, 220, Taipei, Taiwan aut NATIONALLICENCE 700 1- Xu Yinfeng Business School, Sichuan University, 610065, Chengdu, People's Republic of China aut NATIONALLICENCE 773 0- Soft Computing Springer Berlin Heidelberg 19/8(2015-08-01), 2321-2335 1432-7643 19:8<2321 2015 19 500