An Adaptive ANP & ELECTRE IS-Based MCDM Model Using Quantitative Variables
The analytic network process (ANP) is a discrete multi-criteria decision-making (MCDM) method conceived as a generalization of the traditional analytic hierarchical process (AHP) to address its limitations. ANP allows the incorporation of interdependence and feedback relationships between the criter...
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| Format: | Article |
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MDPI AG
2022-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/12/2009 |
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| author | Antonio J. Sánchez-Garrido Ignacio J. Navarro José García Víctor Yepes |
| author_facet | Antonio J. Sánchez-Garrido Ignacio J. Navarro José García Víctor Yepes |
| author_sort | Antonio J. Sánchez-Garrido |
| collection | DOAJ |
| description | The analytic network process (ANP) is a discrete multi-criteria decision-making (MCDM) method conceived as a generalization of the traditional analytic hierarchical process (AHP) to address its limitations. ANP allows the incorporation of interdependence and feedback relationships between the criteria and alternatives that make up the system. This implies much more complexity and intervention time, which reduces the expert’s ability to make accurate and consistent judgments. The present paper takes advantage of the usefulness of this methodology by formulating the model for exclusively quantitative variables, simplifying the decision problem by resulting in fewer paired comparisons. Seven sustainability-related criteria are used to determine, among four design alternatives for a building structure, which is the most sustainable over its life cycle. The results reveal that the number of questions required by the conventional AHP is reduced by 92%. The weights obtained between the AHP and ANP groups show significant variations of up to 71% in the relative standard deviation of some criteria. This sensitivity to subjectivity has been implemented by combining the ANP-ELECTRE IS methods, allowing the expert to reflect the view of the decision problem with greater flexibility and accuracy. The sensitivity of the results on different methods has been analyzed. |
| first_indexed | 2024-03-09T23:08:27Z |
| format | Article |
| id | doaj.art-081f43a2e51d472fa9e910bd64cdbc0e |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T23:08:27Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-081f43a2e51d472fa9e910bd64cdbc0e2023-11-23T17:48:15ZengMDPI AGMathematics2227-73902022-06-011012200910.3390/math10122009An Adaptive ANP & ELECTRE IS-Based MCDM Model Using Quantitative VariablesAntonio J. Sánchez-Garrido0Ignacio J. Navarro1José García2Víctor Yepes3Department of Construction Engineering, Universitat Politècnica de València, 46022 Valencia, SpainDepartment of Construction Engineering, Universitat Politècnica de València, 46022 Valencia, SpainSchool of Construction and Transportation Engineering, Pontificia Universidad Católica de Valparaíso, Valparaíso 2362807, ChileInstitute of Concrete Science and Technology (ICITECH), Universitat Politècnica de València, 46022 Valencia, SpainThe analytic network process (ANP) is a discrete multi-criteria decision-making (MCDM) method conceived as a generalization of the traditional analytic hierarchical process (AHP) to address its limitations. ANP allows the incorporation of interdependence and feedback relationships between the criteria and alternatives that make up the system. This implies much more complexity and intervention time, which reduces the expert’s ability to make accurate and consistent judgments. The present paper takes advantage of the usefulness of this methodology by formulating the model for exclusively quantitative variables, simplifying the decision problem by resulting in fewer paired comparisons. Seven sustainability-related criteria are used to determine, among four design alternatives for a building structure, which is the most sustainable over its life cycle. The results reveal that the number of questions required by the conventional AHP is reduced by 92%. The weights obtained between the AHP and ANP groups show significant variations of up to 71% in the relative standard deviation of some criteria. This sensitivity to subjectivity has been implemented by combining the ANP-ELECTRE IS methods, allowing the expert to reflect the view of the decision problem with greater flexibility and accuracy. The sensitivity of the results on different methods has been analyzed.https://www.mdpi.com/2227-7390/10/12/2009multiple-criteria decision-makingsustainable designanalytic hierarchy processanalytic network processELECTRE ISlife cycle assessment |
| spellingShingle | Antonio J. Sánchez-Garrido Ignacio J. Navarro José García Víctor Yepes An Adaptive ANP & ELECTRE IS-Based MCDM Model Using Quantitative Variables Mathematics multiple-criteria decision-making sustainable design analytic hierarchy process analytic network process ELECTRE IS life cycle assessment |
| title | An Adaptive ANP & ELECTRE IS-Based MCDM Model Using Quantitative Variables |
| title_full | An Adaptive ANP & ELECTRE IS-Based MCDM Model Using Quantitative Variables |
| title_fullStr | An Adaptive ANP & ELECTRE IS-Based MCDM Model Using Quantitative Variables |
| title_full_unstemmed | An Adaptive ANP & ELECTRE IS-Based MCDM Model Using Quantitative Variables |
| title_short | An Adaptive ANP & ELECTRE IS-Based MCDM Model Using Quantitative Variables |
| title_sort | adaptive anp electre is based mcdm model using quantitative variables |
| topic | multiple-criteria decision-making sustainable design analytic hierarchy process analytic network process ELECTRE IS life cycle assessment |
| url | https://www.mdpi.com/2227-7390/10/12/2009 |
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