Research on Proprieties and the Corresponding Problems of Interval Number Complementary Judgment Matrices

Sifeng Liu · Yunchou yu guanli · 2006

Proprieties of interval number complementary judgment matrix have been studied.Based on the transformation between interval number reciprocal judgment matrix and interval number complementary judgment matrix,this paper proposes the definitions of additive consistency and multiplicative consistency for interval number complementary judgment and correlative definitions as well,and studies the particular proprieties of the consistency interval number judgment matrix.At the same time,it also puts forward a simple algorithm that can judge whether an interval number complementary has the propriety of satisfied transitivity.Finally,the algorithm is illustrated by a numerical example,the result of which is feasible and effective.

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