Characterizations of consistent pairwise comparison matrices over abelian linearly ordered groups | Zendy

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Characterizations of consistent pairwise comparison matrices over abelian linearly ordered groups

Author(s) -

Cavallo Bice,

D'Apuzzo Livia

Publication year - 2010

Publication title -

international journal of intelligent systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.291

H-Index - 87

eISSN - 1098-111X

pISSN - 0884-8173

DOI - 10.1002/int.20438

Subject(s) - pairwise comparison , abelian group , consistency (knowledge bases) , consistency index , mathematics , matrix (chemical analysis) , discrete mathematics , combinatorics , statistics , physics , materials science , rheology , composite material , thermodynamics

We consider the framework of pairwise comparison matrices over abelian linearly ordered groups. We introduce the notion of ⊙‐proportionality that allows us to provide new characterizations of the consistency, efficient algorithms for checking the consistency and for building a consistent matrix. Moreover, we provide a new consistency index. © 2010 Wiley Periodicals, Inc.

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