Bilattice-based triangle provides an elegant algebraic structure forreasoning with vague and uncertain information. But the truth and knowledgeordering of intervals in bilattice-based triangle can not handle repetitivebelief revisions which is an essential characteristic of nonmonotonicreasoning. Moreover the ordering induced over the intervals by thebilattice-based triangle is not sometimes intuitive. In this work, we constructan alternative algebraic structure, namely preorder-based triangle and weformulate proper logical connectives for this. It is also demonstrated thatPreorder-based triangle serves to be a better alternative to thebilattice-based triangle for reasoning in application areas, that involvenonmonotonic fuzzy reasoning with uncertain information.
展开▼
