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An improved operator of combination with adapted conflict

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Abstract

In the belief function theory, combination of reliable or unreliable information sources is concerned for a long time. Recently, Lefèvre and Elouedi proposed an operator called Combination With Adapted Conflict (CWAC) to synthesize all the knowledge of the initial belief functions. However, several problems are existed in the CWAC operator actually. The conflict obtained by using CWAC actually is not reasonable as an alarm in some situation and cannot truly reflect the opposition between the belief functions in the combination. In this paper, the existing problems of CWAC are exposed. And based on the spirit of original CWAC operator, an improved CWAC operator is proposed, which is more reasonable and effective. Some illustrative examples are given to show the effectiveness and strength of the proposed improved CWAC operator.

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Acknowledgments

The work is partially supported by National Natural Science Foundation of China (Grant No. 61174022), Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20131102130002), R&D Program of China (2012BAH07B01), National High Technology Research and Development Program of China (863 Program) (Grant No. 2013AA013801), the open funding project of State Key Laboratory of Virtual Reality Technology and Systems, Beihang University (Grant No. BUAA-VR-14KF-02), Fundamental Research Funds for the Central Universities (Grant No. XDJK2014D034).

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Authors and Affiliations

  1. School of Computer and Information Science, Southwest University, No. 2 Tiansheng Road, Beibei District, Chongqing, 400715, China

    Xinyang Deng & Yong Deng

  2. School of Automation, Northwestern Polytechnical University, Xi’an, 710072, Shaanxi, China

    Yong Deng

  3. School of Engineering, Vanderbilt University, Nashville, TN, 37235, USA

    Yong Deng

  4. Department of Industrial and Systems Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China

    Felix T. S. Chan

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  1. Xinyang Deng
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  2. Yong Deng
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  3. Felix T. S. Chan
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Correspondence to Yong Deng or Felix T. S. Chan.

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Deng, X., Deng, Y. & Chan, F.T.S. An improved operator of combination with adapted conflict. Ann Oper Res 223, 451–459 (2014). https://doi.org/10.1007/s10479-014-1729-9

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  • DOI: https://doi.org/10.1007/s10479-014-1729-9

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