Why Lattice-valued fuzzy values? A mathematical justification
© 2015-IOS Press and the authors. To take into account that expert's degrees of certainty are not always comparable, researchers have used partially ordered set of degrees instead of the more traditional linearly (totally) ordered interval [0, 1]. In most cases, it is assumed that this partiall...
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th-cmuir.6653943832-544242018-09-04T10:20:10Z Why Lattice-valued fuzzy values? A mathematical justification Rujira Ouncharoen Vladik Kreinovich Hung T. Nguyen Computer Science Engineering Mathematics © 2015-IOS Press and the authors. To take into account that expert's degrees of certainty are not always comparable, researchers have used partially ordered set of degrees instead of the more traditional linearly (totally) ordered interval [0, 1]. In most cases, it is assumed that this partially ordered set is a lattice, i.e., every two elements have the greatest lower bound and the least upper bound. In this paper, we prove a theorem explaining why it is reasonable to require that the set of degrees is a lattice. 2018-09-04T10:13:16Z 2018-09-04T10:13:16Z 2015-01-01 Journal 18758967 10641246 2-s2.0-84946849669 10.3233/IFS-151558 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84946849669&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/54424 |
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Thailand |
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Computer Science Engineering Mathematics |
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Computer Science Engineering Mathematics Rujira Ouncharoen Vladik Kreinovich Hung T. Nguyen Why Lattice-valued fuzzy values? A mathematical justification |
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© 2015-IOS Press and the authors. To take into account that expert's degrees of certainty are not always comparable, researchers have used partially ordered set of degrees instead of the more traditional linearly (totally) ordered interval [0, 1]. In most cases, it is assumed that this partially ordered set is a lattice, i.e., every two elements have the greatest lower bound and the least upper bound. In this paper, we prove a theorem explaining why it is reasonable to require that the set of degrees is a lattice. |
| format |
Journal |
| author |
Rujira Ouncharoen Vladik Kreinovich Hung T. Nguyen |
| author_facet |
Rujira Ouncharoen Vladik Kreinovich Hung T. Nguyen |
| author_sort |
Rujira Ouncharoen |
| title |
Why Lattice-valued fuzzy values? A mathematical justification |
| title_short |
Why Lattice-valued fuzzy values? A mathematical justification |
| title_full |
Why Lattice-valued fuzzy values? A mathematical justification |
| title_fullStr |
Why Lattice-valued fuzzy values? A mathematical justification |
| title_full_unstemmed |
Why Lattice-valued fuzzy values? A mathematical justification |
| title_sort |
why lattice-valued fuzzy values? a mathematical justification |
| publishDate |
2018 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84946849669&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/54424 |
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