Deriving fuzzy weights of criteria from inconsistent fuzzy comparison matrices by using goal programming method

Authors:
Mohammad Izadikhah
Affiliations:
Department of Mathematics, Islamic Azad University, Arak-Branch, Arak, Iran
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2013

Citing 8
Cited 0

An index for ordering fuzzy numbers

Fuzzy Sets and Systems
A new approach for ranking fuzzy numbers by distance method

Fuzzy Sets and Systems
Deriving priorities from fuzzy pairwise comparison judgements

Fuzzy Sets and Systems - Optimisation and decision
A linear goal programming priority method for fuzzy analytic hierarchy process and its applications in new product screening

International Journal of Approximate Reasoning
A hybrid approach to concept selection through fuzzy analytic network process

Computers and Industrial Engineering
On the centroids of fuzzy numbers

Fuzzy Sets and Systems
A goal programming approach to estimating performance weights for ranking firms

Computers and Operations Research
Inconsistency of pair-wise comparison matrix with fuzzy elements based on geometric mean

Fuzzy Sets and Systems

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, deriving the fuzzy weights of criteria from the fuzzy pair-wise comparison matrix with triangular fuzzy elements is investigated. In the proposed method we first use the ranking function to convert the triangular fuzzy data into crisp one. Then by using the goal programming method we derive the fuzzy weights of criteria. We propose two new methods, and it is shown that these methods are able to derive the weights of criteria in the case of crisp elements. We compare the results of the presented method with some of the existing methods. The approach is illustrated by some numerical examples.