Consistency of Sign Patterns in AI Research

This paper addresses the consistency of sign patterns, a concept relevant to understanding the qualitative behavior of matrices. It corrects a previous proposition and provides new conditions for consistency, particularly for specific types of sign patterns. This is important for researchers working with qualitative matrix analysis and related fields.

• •The paper corrects a previous proposition regarding the consistency of sign patterns.
• •It characterizes consistent irreducible, tridiagonal sign patterns of order at most five.
• •It establishes necessary conditions for combinatorially symmetric sign patterns to be consistent.
• •It introduces and provides conditions for the class of 2-consistent sign patterns.