Two Approximation Models of Fuzzy Weight Vector from a Comparison Matrix
In this study, our uncertain judgment on multiple items is denoted as a fuzzy weight vector. Its membership function is estimated from more than one interval weight vector. The interval weight vector is obtained from a crisp/interval comparison matrix by Interval Analytic Hierarchy Process (AHP). We...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2018/1975768 |
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| author | Tomoe Entani |
| author_facet | Tomoe Entani |
| author_sort | Tomoe Entani |
| collection | DOAJ |
| description | In this study, our uncertain judgment on multiple items is denoted as a fuzzy weight vector. Its membership function is estimated from more than one interval weight vector. The interval weight vector is obtained from a crisp/interval comparison matrix by Interval Analytic Hierarchy Process (AHP). We redefine it as a closure of the crisp weight vectors which approximate the comparison matrix. The intuitively given comparison matrix is often imperfect so that there could be various approaches to approximate it. We propose two of them: upper and lower approximation models. The former is based on weight possibility and the weight vector with it includes the comparison matrix. The latter is based on comparison possibility and the comparison matrix with it includes the weight vector. |
| format | Article |
| id | doaj-art-0ea27d635e14434b9a5db3dce6d856ba |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-0ea27d635e14434b9a5db3dce6d856ba2025-02-03T01:20:04ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2018-01-01201810.1155/2018/19757681975768Two Approximation Models of Fuzzy Weight Vector from a Comparison MatrixTomoe Entani0Graduate School of Applied Informatics, University of Hyogo, Kobe, Hyogo 650-0047, JapanIn this study, our uncertain judgment on multiple items is denoted as a fuzzy weight vector. Its membership function is estimated from more than one interval weight vector. The interval weight vector is obtained from a crisp/interval comparison matrix by Interval Analytic Hierarchy Process (AHP). We redefine it as a closure of the crisp weight vectors which approximate the comparison matrix. The intuitively given comparison matrix is often imperfect so that there could be various approaches to approximate it. We propose two of them: upper and lower approximation models. The former is based on weight possibility and the weight vector with it includes the comparison matrix. The latter is based on comparison possibility and the comparison matrix with it includes the weight vector.http://dx.doi.org/10.1155/2018/1975768 |
| spellingShingle | Tomoe Entani Two Approximation Models of Fuzzy Weight Vector from a Comparison Matrix Advances in Fuzzy Systems |
| title | Two Approximation Models of Fuzzy Weight Vector from a Comparison Matrix |
| title_full | Two Approximation Models of Fuzzy Weight Vector from a Comparison Matrix |
| title_fullStr | Two Approximation Models of Fuzzy Weight Vector from a Comparison Matrix |
| title_full_unstemmed | Two Approximation Models of Fuzzy Weight Vector from a Comparison Matrix |
| title_short | Two Approximation Models of Fuzzy Weight Vector from a Comparison Matrix |
| title_sort | two approximation models of fuzzy weight vector from a comparison matrix |
| url | http://dx.doi.org/10.1155/2018/1975768 |
| work_keys_str_mv | AT tomoeentani twoapproximationmodelsoffuzzyweightvectorfromacomparisonmatrix |