Accession number:  20111913966134

Title:  Acceptable consistency analysis of interval complement comparison matrices

Authors:  Xu, Ying-Jun1 ; Zhang, Yu-Zhong1 ; Wei, Cui-Ping1  

Author affiliation:  1  Operational Research and Management College, Qufu Normal University, Rizhao 276826, China


Corresponding author:  Xu, Y.-J. (xuyingjun5007@sina.com)  

Source title:  Kongzhi yu Juece/Control and Decision

Abbreviated source title:  Kongzhi yu Juece Control Decis

Volume:  26

Issue:  3

Issue date:  March 2011

Publication year:  2011

Pages:  327-331

Language:  Chinese

ISSN:  10010920

CODEN:  KYJUEF

Document type:  Journal article (JA)

Publisher:  Northeast University, P.O. Box 125, Shenyang, 110005, China

Abstract:  This paper presents an new definition of acceptably consistent interval complement comparison matrix. An interval complement comparison matrix with unacceptable consistency can be easily adjusted such that the revised matrix possesses acceptable consistency. By utilizing a convex combination method, a family of crisp complement comparison matrices with acceptable consistency can be obtained, whose weights are aggregated to obtain interval weights from an acceptably consistent interval complement comparison matrix. Based on the possibility degree formula, the ranking of interval weights can be derived. An algorithm for generating the weights from acceptably consistent interval complement comparison matrices is proposed. Illustrated examples are presented to show the feasibility and effectiveness of the definition and algorithm.

Number of references:  16

Main heading:  Algorithms

Uncontrolled terms:  Acceptable consistency  -  Comparison matrix  -  Consistency analysis  -  Convex combination method  -  Interval complement comparison matrix  -  Interval weights  -  matrix  -  Possibility degree  -  Weight

Classification code:  723 Computer Software, Data Handling and Applications  -  921 Mathematics

Database:  Compendex



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