A new method for consistency test in fuzzy AHP

Abstract

This paper presents that the consistency test with consideration of a tolerance deviation in fuzzy AHP proposed by L. C. Leung and D. Cao (2000) is not efficient and has some errors, hence a new method of fuzzy consistency test by direct fuzzification of (Quick Response) QR algorithm -which is one of numerical methods for calculating eigenvalues of an arbitrary matrix -has been proposed.

A fuzzy decision tool to evaluate the sustainable performance of suppliers in an agrifood value chain

“…In case of calculating fuzzy inconsistency ration with tolerance deviation, Mahmoudzadeh and Bafandeh (2013) CI is consistency index. λ max is the max eigenvalue of the comparison matrix.…”

A review of fuzzy AHP methods for decision-making with subjective judgements

“…Crisp consistency based on Saaty's method is mostly used and suitable for all types of fuzzy sets. Mahmoudzadeh and Bafandeh (2013) Table 6 summarises the methods to measure the consistency in terms of the underlying principle, the complexity of the computation and the pros and cons.…”

A fuzzy hybrid decision-making framework for increasing the hospital disaster preparedness: The colombian case

“…However, AHP is not capable of dealing with the uncertainty expected in this scenario which can be certainly addressed through its intuitionistic fuzzy version “IF-AHP” [ 68 , 69 ]. IF-AHP is suitable for responding to the above-mentioned considerations as: i) it allows eliciting the global and local relative weights of criteria and sub-criteria ii) it represents the uncertainty of experts' judgments by incorporating precise membership (degree of belongingness) and precise non-membership (degree of non-belongingness) [ 32 ]; in this case, an indeterministic part remains, iii) it takes into account the preferences emerging from experts who are part of the decision-making scenario [ 69 ], iv) it is straightforward to apply in the wild if appropriate data-collection tools are used, v) it allows comparing criteria or sub-criteria in a paired way rather than contrasting all of them concurrently, and vi) it considers crisp consistency based on Saaty's approach, which enables to evaluate the quality degree of the decision-making process [ 70 ]. Despite these advantages, IF-AHP holds some technical limitations.…”