Table 9 The matching results with different weights of Best-grade and Worst-grade.

From: Two-sided matching based on I-BTM and LSGDM applied to high-level overseas talent and job fit problems

Weight condition

Error

Matching result

\(\mu =1\) (\(\nu =0\))

3.1021

\((A_{1},B_{4}),(A_{2},B_{3}),(A_{3},B_{8}),(A_{4},B_{2}), (A_{5},B_{6}),(A_{6},B_{1}),(A_{7},B_{7})\)

\(\mu =0.9\) (\(\nu =0.1\))

2.8490

\((A_{1},B_{4}),(A_{2},B_{3}),(A_{3},B_{8}),(A_{4},B_{2}), (A_{5},B_{6}),(A_{6},B_{1}),(A_{7},B_{7})\)

\(\mu =0.8\) (\(\nu =0.2\))

2.6063

\((A_{1},B_{4}),(A_{2},B_{3}),(A_{3},B_{8}),(A_{4},B_{2}), (A_{5},B_{6}),(A_{6},B_{1}),(A_{7},B_{7})\)

\(\mu =0.7\) (\(\nu =0.3\))

2.3634

\((A_{1},B_{4}),(A_{2},B_{3}),(A_{3},B_{8}),(A_{4},B_{2}), (A_{5},B_{6}),(A_{6},B_{1}),(A_{7},B_{7})\)

\(\mu =0.6\) (\(\nu =0.4\))

2.1552

\((A_{1},B_{1}),(A_{2},B_{3}),(A_{3},B_{8}),(A_{4},B_{2}), (A_{5},B_{6}),(A_{6},B_{7}),(A_{7},B_{10})\)

\(\mu =0.5\) (\(\nu =0.5\))

2.2645

\((A_{1},B_{4}),(A_{2},B_{9}),(A_{3},B_{7}),(A_{4},B_{4}), (A_{5},B_{3}),(A_{6},B_{5}),(A_{7},B_{10})\)

\(\mu =0.4\) (\(\nu =0.6\))

2.5858

\((A_{1},B_{4}),(A_{2},B_{9}),(A_{3},B_{7}),(A_{4},B_{4}), (A_{5},B_{3}),(A_{6},B_{5}),(A_{7},B_{10})\)

\(\mu =0.3\) (\(\nu =0.7\))

2.9067

\((A_{1},B_{4}),(A_{2},B_{9}),(A_{3},B_{7}),(A_{4},B_{4}), (A_{5},B_{3}),(A_{6},B_{5}),(A_{7},B_{10})\)

\(\mu =0.2\) (\(\nu =0.8\))

3.2278

\((A_{1},B_{4}),(A_{2},B_{9}),(A_{3},B_{7}),(A_{4},B_{4}), (A_{5},B_{3}),(A_{6},B_{5}),(A_{7},B_{10})\)

\(\mu =0.1\) (\(\nu =0.9\))

3.5489

\((A_{1},B_{4}),(A_{2},B_{9}),(A_{3},B_{7}),(A_{4},B_{4}), (A_{5},B_{3}),(A_{6},B_{5}),(A_{7},B_{10})\)

\(\mu =0\) (\(\nu =1\))

3.8701

\((A_{1},B_{1}),(A_{2},B_{9}),(A_{3},B_{7}),(A_{4},B_{4}), (A_{5},B_{3}),(A_{6},B_{5}),(A_{7},B_{10})\)