Extended PCR Rules for Dynamic Frames

Authors

Florentin Smarandache, University of New MexicoFollow
Jean DezertFollow

Document Type

Article

Publication Date

7-2012

Abstract

In most of classical fusion problems modeled from belief functions, the frame of discernment is considered as static. This means that the set of elements in the frame and the underlying integrity constraints of the frame are fixed forever and they do not change with time. In some applications, like in target tracking for example, the use of such invariant frame is not very appropriate because it can truly change with time. So it is necessary to adapt the Proportional Conflict Redistribution fusion rules (PCR5 and PCR6) for working with dynamical frames. In this paper, we propose an extension of PCR5 and PCR6 rules for working in a frame having some non-existential integrity constraints. Such constraints on the frame can arise in tracking applications by the destruction of targets for example. We show through very simple examples how these new rules can be used for the belief revision process.

Publication Title

Proc. Of Fusion 2012, Singapore, July 2012

First Page

139

Last Page

146

Language (ISO)

English

Keywords

Information fusion, DSmT, integrity constraints, belief functions

Recommended Citation

Smarandache, Florentin and Jean Dezert. "Extended PCR Rules for Dynamic Frames." Proc. Of Fusion 2012, Singapore, July 2012 (2012): 139-146. https://digitalrepository.unm.edu/math_fsp/463

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.