2014
DOI: 10.1016/j.eswa.2013.11.028
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A new type-2 fuzzy set of linguistic variables for the fuzzy analytic hierarchy process

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Cited by 149 publications
(56 citation statements)
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“…In the study, type-2 fuzzy AHP is used to determine the weights of the criteria and hesitant TOPSIS is used to select among the strategic decisions. Abdullah and Najib [162] also propose a new fuzzy AHP method using interval type-2 fuzzy sets. In the proposed method, linguistic evaluations are represented as trapezoidal interval type-2 fuzzy sets and the authors propose a rank value method for normalizing upper and lower memberships of these sets.…”
Section: Fuzzy Ahp Methodsmentioning
confidence: 99%
“…In the study, type-2 fuzzy AHP is used to determine the weights of the criteria and hesitant TOPSIS is used to select among the strategic decisions. Abdullah and Najib [162] also propose a new fuzzy AHP method using interval type-2 fuzzy sets. In the proposed method, linguistic evaluations are represented as trapezoidal interval type-2 fuzzy sets and the authors propose a rank value method for normalizing upper and lower memberships of these sets.…”
Section: Fuzzy Ahp Methodsmentioning
confidence: 99%
“…Besides, we used aggregation form instead of calculate matrix eigenvector. Based on the tested numerical examples shown in Abdullah and Najib [5], it can be concluded that the integrated of IT2FS and AHP is feasible with both arithmetic operations and mathematical computation involved during the calculation. Thus, the integration method of IT2-FAHP procedures can be one of the comparative tools in dealing with multiplicity of choices in decision making process.…”
Section: Then the Ranking Valuementioning
confidence: 99%
“…An example of the integration can be retrieved from Abdullah and Najib, [5]. The discussions in this section are mostly based on the computational procedures proposed in this paper.…”
Section: Integration and Implicationsmentioning
confidence: 99%
“…2011a;Lee et al, 2011b;Li et al 2012;Shaw et al, 2012;Zeydan et al 2011). However, all the proposals that can be found in the extant literature are mainly focused on the fuzzification of the AHP, through the introduction of fuzzy numbers in the pair-wise comparison matrices (see also approaches developed for slightly different selection and evaluation problems, such as: Cho and Lee, 2013;Ishizaka and Nguyen, 2013;Abdullah and Najib, 2014;Rezaei et al, 2014;Abdullah and Zulkifli, 2015). The final outcome can be viewed as a sort of contamination of the AHP with the Fuzzy Logic, resulting in a higher computational complexity (calculation of eigenvalues, eigenvectors and consistency ratios) and a more complex framework which increases the difficulties in the implementation phase, so reducing the practical usability of the model (Saaty and Tran, 2007).…”
Section: Ahp-based Approachesmentioning
confidence: 99%