Multicriteria decision analysis with fuzzy pairwise comparisons
Fuzzy Sets and Systems
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International Journal of Approximate Reasoning
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Fuzzy Sets and Systems
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Fuzzy Sets and Systems
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Fuzzy Sets and Systems
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Fuzzy Sets and Systems
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Fuzzy Sets and Systems
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Fuzzy Sets and Systems
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Computers and Operations Research
A fuzzy extension of Saaty's priority theory
Fuzzy Sets and Systems
Fuzzy least-squares priority method in the analytic hierarchy process
Fuzzy Sets and Systems
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Journal of Computational and Applied Mathematics
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Fuzzy Sets and Systems
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A new method of obtaining the priority weights from an interval fuzzy preference relation
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Information Sciences: an International Journal
Information Sciences: an International Journal
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Direct interval extension of TOPSIS method
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Knowledge-Based Systems
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Expert Systems with Applications: An International Journal
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Information Sciences: an International Journal
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International Journal of Fuzzy System Applications
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A direct interval extension of TOPSIS method
Expert Systems with Applications: An International Journal
An approach to generalization of fuzzy TOPSIS method
Information Sciences: an International Journal
Some models for generating and ranking multiplicative weights
Computers and Industrial Engineering
Computers and Industrial Engineering
Incomplete interval fuzzy preference relations and their applications
Computers and Industrial Engineering
Information Sciences: an International Journal
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A two-stage logarithmic goal programming (TLGP) method is proposed to generate weights from interval comparison matrices, which can be either consistent or inconsistent. The first stage is devised to minimize the inconsistency of interval comparison matrices and the second stage is developed to generate priorities under the condition of minimal inconsistency. The weights are assumed to be multiplicative rather than additive. In the case of hierarchical structures, a nonlinear programming method is used to aggregate local interval weights into global interval weights. A simple yet practical preference ranking method is investigated to compare the interval weights of criteria or rank alternatives in a multiplicative aggregation process. The proposed TLGP is also applicable to fuzzy comparison matrices when they are transformed into interval comparison matrices using @a-level sets and the extension principle. Six numerical examples including a group decision analysis problem with a group of comparison matrices, a hierarchical decision problem and a fuzzy decision problem using fuzzy comparison matrix are examined to show the applications of the proposed methods. Comparisons with other existing procedures are made whenever possible.