2020
DOI: 10.1016/j.heliyon.2020.e03607
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Norm-dist Monte-Carlo integrative method for the improvement of fuzzy analytic hierarchy process

Abstract: This paper presents the novel approach of the Norm-dist Monte-Carlo fuzzy analytic hierarchy process (NMCFAHP) to incorporate probabilistic and epistemic uncertainty due to human's judgment vagueness in multicriteria decision analysis. Normal distribution is applied as the most appropriate distribution model to approximate the probability distribution function of the criteria and alternatives within Monte-Carlo simulation. To test the applicability of the proposed NMCFAHP, the case study of non-destructive tes… Show more

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Cited by 12 publications
(5 citation statements)
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“…In AHP, all comparisons are not included, and thus, to find the priority of one decision variable over other, triangular fuzzy numbers are used (Biswas et al, 2018). A number of researches presented the integrative fuzzy logic, but there is no reference mentioning the utilization of a normal distribution as an integrative method with FHAP (Wicaksono et al, 2020). AHP has few limitations as follows:…”
Section: Methodsmentioning
confidence: 99%
See 2 more Smart Citations
“…In AHP, all comparisons are not included, and thus, to find the priority of one decision variable over other, triangular fuzzy numbers are used (Biswas et al, 2018). A number of researches presented the integrative fuzzy logic, but there is no reference mentioning the utilization of a normal distribution as an integrative method with FHAP (Wicaksono et al, 2020). AHP has few limitations as follows:…”
Section: Methodsmentioning
confidence: 99%
“…Triangular fuzzy numbers are the most used and numbers are specified with the help of three real numbers (l, m, u). The real number values (l, m, u) containing the triangular number are l, m and n as the smallest probable value, the most probable number, the largest probable value, respectively (Wicaksono et al , 2020; Table 3).…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…Triangular fuzzy numbers are settled with the three real numbers (l, m, u), consisting of the triangle numbers "l", "m", and "n" as the least, the most, and the largest probable value, respectively [16] (Table 3).…”
Section: Methodsmentioning
confidence: 99%
“…The Monte Carlo method can randomly simulate the dynamic relationship among various variables and estimate the distribution of model results through repeated simulation to solve several complex problems with uncertainty [25]. In recent years, this method has often been used in conjunction with other methods, such as with Fermi DwiWicaksono et al [26], who coupled the FAHP and Monte Carlo methods and proposed a new multi-criteria decision analysis method based on the Normative Monte Carlo Fuzzy Analytic Hierarchy Process (NMCFAHP), which combined the fuzziness of judgment with probability uncertainty and cognitive uncertainty. This study also combines system dynamics and Monte Carlo method to study WECC in Fushun region.…”
Section: Wecc Evaluation Modelmentioning
confidence: 99%