Complex Pignistic Transformation-Based Evidential Distance for Multisource Information Fusion of Medical Diagnosis in the IoT

Abstract

Multisource information fusion has received much attention in the past few decades, especially for the smart Internet of Things (IoT). Because of the impacts of devices, the external environment, and communication problems, the collected information may be uncertain, imprecise, or even conflicting. How to handle such kinds of uncertainty is still an open issue. Complex evidence theory (CET) is effective at disposing of uncertainty problems in the multisource information fusion of the IoT. In CET, however, how to measure the distance among complex basis belief assignments (CBBAs) to manage conflict is still an open issue, which is a benefit for improving the performance in the fusion process of the IoT. In this paper, therefore, a complex Pignistic transformation function is first proposed to transform the complex mass function; then, a generalized betting commitment-based distance (BCD) is proposed to measure the difference among CBBAs in CET. The proposed BCD is a generalized model to offer more capacity for measuring the difference among CBBAs. Additionally, other properties of the BCD are analyzed, including the non-negativeness, nondegeneracy, symmetry, and triangle inequality. Besides, a basis algorithm and its weighted extension for multi-attribute decision-making are designed based on the newly defined BCD. Finally, these decision-making algorithms are applied to cope with the medical diagnosis problem under the smart IoT environment to reveal their effectiveness.

A novel quantum belief entropy for uncertainty measure in complex evidence theory

“…Complex pignistic belief transformation (CPBT) is used to assign CBBAs of multi-element focal elements to subsets, which is defined as [61] CBet(Ai)…”

“…CPBT is a common method to convert CBBAs of multi-element focal elements into singletons. Then Com is used to play the role of decision instead of probability in CET [61]. Inspired by [60], this paper proposes a fractal generation process of CPBT in order to fill the gap in the research of this direction in CET.…”

An Enhanced Pignistic Transformation-Based Fusion Scheme With Applications in Image Segmentation

“…where | * | is the cardinality of * , η ∈ (note that if in line with the definition of Xiao [37], this transformation is defined as Pignistic transformation for singletons).…”

Reliable Internet of Things: Challenges and Future Trends

“…In case of a sudden change in a parameter, alarms can be generated, and doctors can be informed. Moreover, for supply chain monitoring, the temperature of the medicines or vaccines can be continuously checked [60][61][62].…”