Fusion of qualitative beliefs using DSmT

Details Fusion of qualitative beliefs using DSmT Fusion of qualitative beliefs using DSmT

2006-07-31

arxiv.org/abs/cs/0607147v2

Presented as an extended version (Tutorial MO2) to the Fusion 2006 International Conference, Florence, Italy, July 10-13, 2006

Computer Science

Artificial Intelligence

13 pages. To appear in "Advances and Applications of DSmT for Information Fusion", collected works, second volume, 2006

Scientific paper

This paper introduces the notion of qualitative belief assignment to model beliefs of human experts expressed in natural language (with linguistic labels). We show how qualitative beliefs can be efficiently combined using an extension of Dezert-Smarandache Theory (DSmT) of plausible and paradoxical quantitative reasoning to qualitative reasoning. We propose a new arithmetic on linguistic labels which allows a direct extension of classical DSm fusion rule or DSm Hybrid rules. An approximate qualitative PCR5 rule is also proposed jointly with a Qualitative Average Operator. We also show how crisp or interval mappings can be used to deal indirectly with linguistic labels. A very simple example is provided to illustrate our qualitative fusion rules.

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