Deriving Weights of Criteria from Inconsistent Fuzzy Comparison Matrices by Using the Nearest Weighted Interval Approximation | Zendy

Mohammad Izadikhah | Zendy

Open Access

Deriving Weights of Criteria from Inconsistent Fuzzy Comparison Matrices by Using the Nearest Weighted Interval Approximation

Author(s) -

Mohammad Izadikhah

Publication year - 2012

Publication title -

advances in operations research

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.379

H-Index - 14

eISSN - 1687-9155

pISSN - 1687-9147

DOI - 10.1155/2012/574710

Subject(s) - pairwise comparison , fuzzy logic , mathematics , interval (graph theory) , matrix (chemical analysis) , element (criminal law) , mathematical optimization , algorithm , statistics , computer science , artificial intelligence , combinatorics , materials science , political science , law , composite material

Deriving the weights of criteria from the pairwise comparison matrix with fuzzy elements is investigated. In the proposed method we first convert each element of the fuzzy comparison matrix into the nearest weighted interval approximation one. Then by using the goal programming method we derive the weights of criteria. The presented method is able to find weights of fuzzy pairwise comparison matrices in any form. We compare the results of the presented method with some of the existing methods. The approach is illustrated by some numerical examples.

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