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100			_a20221221a2007 k y0engy50 ba
101	1		_aeng
102			_aPL
135			_adrcn ---uucaa
181		0	_ai
182		0	_ab
200	1		_aRankings as ordinal scale measurement results _fS. V. Muravyov (Murav’ev)
203			_aText _celectronic
300			_aTitle screen
320			_a[References: 13 tit.]
330			_aRankings (or preference relations, or weak orders) are sometimes considered to be non-empirical, nonobjective, low-informative and, in principle, are not worthy to be titled measurements. A purpose of the paper is to demonstrate that the measurement result on the ordinal scale should be an entire (consensus) ranking of n objects ranked by m properties (or experts, or voters) in order of preference and the ranking is one of points of the weak orders space. The consensus relation that would give an integrative characterization of the initial rankings is one of strict (linear) order relations, which, in some sense, is nearest to every of the initial rankings. A recursive branch and bound measurement procedure for finding the consensus relation is described. An approach to consensus relation uncertainty assessment is discussed.
461			_tMetrology and Measurement Systems
463			_tVol. 13, iss. 1 _v[P. 9-24] _d2007
610	1		_aтруды учёных ТПУ
610	1		_aэлектронный ресурс
610	1		_aordinal scale
610	1		_aweak order
610	1		_aconsensus relation
610	1		_arecursive algorithm
610	1		_aпорядковые шкалы
610	1		_aрекурсивные алгоритмы
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
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856	4		_uhttp://metrology.pg.gda.pl/no200701.html#p9
942			_cCF