Social choice function with subordinate relations as one variable |
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Authors: | YUICHI HATTORI |
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Affiliation: | Department of Applied Mathematics, Faculty of Science , Konan University , 8-9-1, Okamoto, Higashinada-ku, Kobe, 658, Japan |
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Abstract: | The paper proposes a social choice function R = g(R1 R2, ?,Rn, U) with a binary relation U called a subordinate relation on the group decision-makers in addition to individual preference relations Ri(i = 1, 2, ?, n). Then the individual influence to the group decision-making is connected with a relation U so that the more the members are subordinate to a member, the more its preference is reflected to the social preference. Two functions are defined as examples of such functions with subordinate relations. Four conditions, a theorem and real-world type examples to group decision-making are presented |
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