Preorder-based triangle: A modified version of bilattice-based triangle for belief revision in nonmonotonic reasoning

Article Type

Research Article

Publication Title

Journal of Experimental and Theoretical Artificial Intelligence

Abstract

Bilattice-based triangle provides an elegant algebraic structure for reasoning with vague and uncertain information. But the truth and knowledge ordering of intervals in bilattice-based triangle cannot handle repetitive belief revisions which is an essential characteristic of nonmonotonic reasoning. Moreover, the ordering induced over the intervals by the bilattice-based triangle is not sometimes intuitive. In this work, we construct an alternative algebraic structure, namely preorder-based triangle and we formulate proper logical connectives for this. It is also demonstrated that Preorder-based triangle serves to be a better alternative to the bilattice-based triangle for reasoning in application areas, that involve nonmonotonic fuzzy reasoning with uncertain information.

First Page

665

Last Page

690

DOI

10.1080/0952813X.2018.1467493

Publication Date

1-1-2018

Comments

All Open Access, Green

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