Consistency issues of interval pairwise comparison matrices

Verfasser / Beitragende:
[Yucheng Dong, Xia Chen, Cong-Cong Li, Wei-Chiang Hong, Yinfeng Xu]
Ort, Verlag, Jahr:
2015
Enthalten in:
Soft Computing, 19/8(2015-08-01), 2321-2335
Format:
Artikel (online)
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024 7 0 |a 10.1007/s00500-014-1426-2  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00500-014-1426-2 
245 0 0 |a Consistency issues of interval pairwise comparison matrices  |h [Elektronische Daten]  |c [Yucheng Dong, Xia Chen, Cong-Cong Li, Wei-Chiang Hong, Yinfeng Xu] 
520 3 |a 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. 
540 |a Springer-Verlag Berlin Heidelberg, 2014 
690 7 |a Multiple attribute decision making  |2 nationallicence 
690 7 |a Interval pairwise comparison matrix  |2 nationallicence 
690 7 |a Consistency  |2 nationallicence 
690 7 |a Linear programming  |2 nationallicence 
700 1 |a Dong  |D Yucheng  |u Business School, Sichuan University, 610065, Chengdu, People's Republic of China  |4 aut 
700 1 |a Chen  |D Xia  |u Business School, Sichuan University, 610065, Chengdu, People's Republic of China  |4 aut 
700 1 |a Li  |D Cong-Cong  |u Business School, Sichuan University, 610065, Chengdu, People's Republic of China  |4 aut 
700 1 |a Hong  |D Wei-Chiang  |u Department of Information Management, Oriental Institute of Technology, No. 58, Section 2, Sichuan Road, Panchiao, 220, Taipei, Taiwan  |4 aut 
700 1 |a Xu  |D Yinfeng  |u Business School, Sichuan University, 610065, Chengdu, People's Republic of China  |4 aut 
773 0 |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/8(2015-08-01), 2321-2335  |x 1432-7643  |q 19:8<2321  |1 2015  |2 19  |o 500 
856 4 0 |u https://doi.org/10.1007/s00500-014-1426-2  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00500-014-1426-2  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Dong  |D Yucheng  |u Business School, Sichuan University, 610065, Chengdu, People's Republic of China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Chen  |D Xia  |u Business School, Sichuan University, 610065, Chengdu, People's Republic of China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Li  |D Cong-Cong  |u Business School, Sichuan University, 610065, Chengdu, People's Republic of China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Hong  |D Wei-Chiang  |u Department of Information Management, Oriental Institute of Technology, No. 58, Section 2, Sichuan Road, Panchiao, 220, Taipei, Taiwan  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Xu  |D Yinfeng  |u Business School, Sichuan University, 610065, Chengdu, People's Republic of China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/8(2015-08-01), 2321-2335  |x 1432-7643  |q 19:8<2321  |1 2015  |2 19  |o 500