Paper Info
Title
Fuzzy analytic hierarchy process: A logarithmic fuzzy preference programming methodology
Abstract
Fuzzy analytic hierarchy process (AHP) proves to be a very useful methodology for multiple criteria decision-making in fuzzy environments, which has found substantial applications in recent years. The vast majority of the applications use a crisp point estimate method such as the extent analysis or the fuzzy preference programming (FPP) based nonlinear method for fuzzy AHP priority derivation. The extent analysis has been revealed to be invalid and the weights derived by this method do not represent the relative importance of decision criteria or alternatives. The FPP-based nonlinear priority method also turns out to be subject to significant drawbacks, one of which is that it may produce multiple, even conflict priority vectors for a fuzzy pairwise comparison matrix, leading to entirely different conclusions. To address these drawbacks and provide a valid yet practical priority method for fuzzy AHP, this paper proposes a logarithmic fuzzy preference programming (LFPP) based methodology for fuzzy AHP priority derivation, which formulates the priorities of a fuzzy pairwise comparison matrix as a logarithmic nonlinear programming and derives crisp priorities from fuzzy pairwise comparison matrices. Numerical examples are tested to show the advantages of the proposed methodology and its potential applications in fuzzy AHP decision-making.
Year
DOI
Venue
2011
10.1016/j.ijar.2010.12.004
Int. J. Approx. Reasoning
Keywords
DocType
Volume
fuzzy ahp,fuzzy preference programming,ship registry selection,fuzzy ahp priority derivation,fuzzy pairwise comparison matrix,fuzzy analytic hierarchy process,fuzzy environment,extent analysis,fuzzy ahp decision-making,logarithmic fuzzy preference programming,multiple criteria decision-making,fpp-based nonlinear priority method,point estimation,nonlinear programming
Journal
52
Issue
ISSN
Citations 
4
International Journal of Approximate Reasoning
13
PageRank 
References 
Authors
0.71
41
2
Name
Order
Citations
PageRank
Ying-Ming Wang13256166.96
Kwai-Sang Chin2103354.69