Qualitative Belief Conditioning Rules (QBCR)

TL;DR

This paper introduces qualitative belief conditioning rules within DSmT, enabling belief revision directly with linguistic labels, avoiding the need for quantitative translation, and expanding the framework for belief revision.

Contribution

It extends quantitative belief conditioning rules to a qualitative version, allowing belief revision directly with words and labels in DSmT.

Findings

Provides a set of qualitative belief conditioning rules

Enables belief revision using linguistic labels

Avoids ad-hoc translation of quantitative beliefs

Abstract

In this paper we extend the new family of (quantitative) Belief Conditioning Rules (BCR) recently developed in the Dezert-Smarandache Theory (DSmT) to their qualitative counterpart for belief revision. Since the revision of quantitative as well as qualitative belief assignment given the occurrence of a new event (the conditioning constraint) can be done in many possible ways, we present here only what we consider as the most appealing Qualitative Belief Conditioning Rules (QBCR) which allow to revise the belief directly with words and linguistic labels and thus avoids the introduction of ad-hoc translations of quantitative beliefs into quantitative ones for solving the problem.