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An interval-valued intuitionistic fuzzy projection-based approach and application to evaluating knowledge transfer effectiveness

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Abstract

Projection measure is one of the most important tools for group decision-making (GDM) problems. However, this research finds that the existing projection measure is not always reasonable in interval-valued intuitionistic fuzzy setting. To solve this problem, this research intends to (1) propose a new normalized projection measure in interval-valued intuitionistic fuzzy setting; (2) develop a GDM model based on the new projection measure; and (3) apply the developed model to evaluating knowledge transfer effectiveness for software development team. The feasibility and practicability developed method in this work are illustrated by an experimental analysis.

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Acknowledgements

The author would like to thank the editors and the anonymous reviewers for their insightful and constructive comments and suggestions that have led to this improved version of the paper. This work was supported partially by the Young Creative Talents Project from Department of Education of Guangdong Province (No. 2016KQNCX064), the Education and Teaching Reform Program of Guangdong Ocean University (No. XJG201644) and the Monitoring System Managed by Underwater Robot for Deep Sea Cage Culture (No. GDOU2017052605).

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Appendix

Appendix

1.1 Related tables in Sect. 6.2

The separations, relative closeness of individual decision and weight of DM based on the traditional projection measure are shown in Table 12.

Table 12 Separations, individual relative closeness and DMs’ weights based on traditional projection measure

Three weighted (on DMs) individual decisions based on the traditional projection measure are shown in Table 13.

Table 13 Weighted (on DMs) individual decisions \(R_{k}(k=1,2,3)\) based on traditional projection measure

Four group decisions based on the traditional projection measure are shown in Table 14.

Table 14 Group decisions \(R_{i}(i=1,2,3,4)\) based on traditional projection measure

The ideal decisions of four group decisions based on the traditional projection measure are shown in Table 15.

Table 15 Ideal decisions of group decisions based on traditional projection measure

The separations, relative closeness of individual decision and weight of DM based on the projection measure in Eq. (42) are shown in Table 16.

Table 16 Separations, individual relative closeness and DMs’ weights based on Eq. (42)

Three weighted (on DMs) individual decisions based on the traditional projection measure are shown in Table 17.

Table 17 Weighted (on DMs) individual decisions \(R_{k}(k=1,2,3)\) based on Eq. (42)

Four group decisions based on the projection measure in Eq. (42) are shown in Table 18.

Table 18 Group decisions \(R_{i}(i=1,2,3,4)\) based on Eq. (42)

The ideal decisions of four group decisions based on the projection measure in Eq. (42) are shown in Table 19.

Table 19 Ideal decisions of group decisions based on Eq. (42)

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Yue, C. An interval-valued intuitionistic fuzzy projection-based approach and application to evaluating knowledge transfer effectiveness. Neural Comput & Applic 31, 7685–7706 (2019). https://doi.org/10.1007/s00521-018-3571-5

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