Verifiable Criteria and Properties for Interval $B_π^{R^I}$-Tensors

Abstract

This paper introduces interval $B_π^{R^I}$-tensors as a natural extension of $B_π^{R}$-tensors to the interval setting. We provide two practical verifiable criteria for an interval tensor to be an interval $B_π^{R^I}$-tensor, one based on endpoint inequalities and another constructing an explicit vector $π$. Connections with interval $P$-tensors, positive definite interval tensors, and interval $Z$-tensors are established. Applications in polynomial optimization and interval tensor complementarity problems are briefly discussed.