000 | 03077nlm1a2200433 4500 | ||
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001 | 665073 | ||
005 | 20231030041951.0 | ||
035 | _a(RuTPU)RU\TPU\network\36272 | ||
035 | _aRU\TPU\network\33468 | ||
090 | _a665073 | ||
100 | _a20210802a2021 k y0engy50 ba | ||
101 | 0 | _aeng | |
102 | _aNL | ||
135 | _adrcn ---uucaa | ||
181 | 0 | _ai | |
182 | 0 | _ab | |
200 | 1 |
_aKemeny rule for preference aggregation: Reducing all exact solutions to a single one _fS. V. Muravyov (Murav’ev), E. Y. Emelyanova |
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203 |
_aText _celectronic |
||
300 | _aTitle screen | ||
320 | _a[References: 51 tit.] | ||
330 | _aPreference aggregation as a single consensus ranking (CR) determination, using Kemeny rule, for an input profile consisting of m rankings, including ties, of n alternatives is used in multidimensional ordinal scale measurements, interval fusion with preference aggregation (IF&PA) technique, and various machine learning applications. In spite of its NP-hardness, the Kemeny rule can be fruitfully applied at the problem size n < 20, using branch and bound method, however, it can lead not to a single, but N optimal (exact) solutions (CRs), which are strict orders of the alternatives and form an output profile (OP). An efficient formal rule based on specific parameters of a weighted tournament matrix, constructed for the OP, is proposed to convolute the OP into an exact single final CR, which can include ties. The convolution rule is validated using Borda count, applied to the OP, and the notion of “betweenness” relation over rankings. | ||
333 | _aРежим доступа: по договору с организацией-держателем ресурса | ||
461 | _tMeasurement | ||
463 |
_tVol. 182 _v[109403, 26 p.] _d2021 |
||
610 | 1 | _aэлектронный ресурс | |
610 | 1 | _aтруды учёных ТПУ | |
610 | 1 | _apreference aggregation | |
610 | 1 | _aweak order | |
610 | 1 | _akemeny rule | |
610 | 1 | _amultiple exact solutions | |
610 | 1 | _aweighted tournament | |
610 | 1 | _aborda count | |
610 | 1 | _aагрегирование предпочтений | |
700 | 1 |
_aMuravyov (Murav’ev) _bS. V. _cspecialist in the field of control and measurement equipment _cProfessor of Tomsk Polytechnic University,Doctor of technical sciences _f1954- _gSergey Vasilyevich _2stltpush _3(RuTPU)RU\TPU\pers\31262 |
|
701 | 1 |
_aEmelyanova _bE. Y. _cspecialist in the field of control and measurement equipment _cSenior Lecturer of Tomsk Polytechnic University _f1984- _gEkaterina Yurevna _2stltpush _3(RuTPU)RU\TPU\pers\41538 |
|
712 | 0 | 2 |
_aНациональный исследовательский Томский политехнический университет _bИнженерная школа информационных технологий и робототехники _bОтделение автоматизации и робототехники _h7952 _2stltpush _3(RuTPU)RU\TPU\col\23553 |
801 | 2 |
_aRU _b63413507 _c20210930 _gRCR |
|
856 | 4 | _uhttps://doi.org/10.1016/j.measurement.2021.109403 | |
942 | _cCF |