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Mutual Conversion Between Preference Maps And Cook-Seiford Vectors

Theoretical Economics 2018-12-11 v1

Abstract

In group decision making, the preference map and Cook-Seiford vector are two concepts as ways of describing ties-permitted ordinal rankings. This paper shows that they are equivalent for representing ties-permitted ordinal rankings. Transformation formulas from one to the other are given and the inherent consistency of the mutual conversion is discussed. The proposed methods are illustrated by some examples. Some possible future applications of the proposed formulas are also pointed out.

Cite

@article{arxiv.1812.03566,
  title  = {Mutual Conversion Between Preference Maps And Cook-Seiford Vectors},
  author = {Fujun Hou},
  journal= {arXiv preprint arXiv:1812.03566},
  year   = {2018}
}

Comments

7 pages, 1 figure, 1 table, 1 theorem, some formulas

R2 v1 2026-06-23T06:36:54.428Z