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Paradox Elimination in Dempster-Shafer Combination Rule with Novel Entropy Function: Application in Decision-Level

Md Nazmuzzaman Khan¹, Sohel Anwar¹

¹Department of Mechanical and Energy Engineering, IUPUI, Indianapolis, IN 46224, USA.

Sensors (Basel, Switzerland)

|November 8, 2019

Abstract:

Multi-sensor data fusion technology in an important tool in building decision-making applications. Modified Dempster-Shafer (DS) evidence theory can handle conflicting sensor inputs and can be applied without any prior information. As a result, DS-based information fusion is very popular in decision-making applications, but original DS theory produces counterintuitive results when combining highly conflicting evidences from multiple sensors. An effective algorithm offering fusion of highly conflicting information in spatial domain is not widely reported in the literature. In this paper, a successful fusion algorithm is proposed which addresses these limitations of the original Dempster-Shafer (DS) framework. A novel entropy function is proposed based on Shannon entropy, which is better at capturing uncertainties compared to Shannon and Deng entropy. An 8-step algorithm has been developed which can eliminate the inherent paradoxes of classical DS theory. Multiple examples are presented to show that the proposed method is effective in handling conflicting information in spatial domain. Simulation results showed that the proposed algorithm has competitive convergence rate and accuracy compared to other methods presented in the literature.

Keywords:

Dempster–Shafer evidence theory (DST)decision-level sensor fusion multi-sensor data fusion novel belief entropy uncertainty measure

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