On compatibility of six kinds of uncertain judgement matrices

On compatibility of six kinds of uncertain judgement matrices

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Article ID: iaor2005693
Country: China
Volume: 17
Issue: 2
Start Page Number: 53
End Page Number: 58
Publication Date: Jun 2003
Journal: Fuzzy Systems and Mathematics
Authors: ,
Keywords: analytic hierarchy process
Abstract:

This paper first introduces the definitions of interval number complementary judgement matrix, interval number reciprocal judgement matrix, interval number hybrid judgement matrix, triangular fuzzy number complementary judgement matrix, triangular fuzzy number reciprocal judgement matrix, triangular fuzzy number hybrid judgement matrix, etc., and then gives two common compatibility indices for measuring six kinds of uncertain judgement matrices (interval number complementary judgement matrices, interval number reciprocal judgement matrices, interval number hybrid judgement matrix, triangular fuzzy number complementary judgement matrix, triangular fuzzy number reciprocal judgement matrices and triangular fuzzy number reciprocal judgement matrices). A criterion to measure the compatibility of the uncertain judgement matrices is provided and a numerical example is also given.

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