I. Introduction
Multistate networks can be divided into multistate flow networks (MFNs) and multistate information networks (MINs) [1], [2], [3]. MFNs focus on the distribution of arcs in various states within a network while adhering to flow conservation principles. However, MINs primarily investigate variations in node states without requiring compliance with flow conservation laws [4], [5], [6], [7], [8], [9], [10]. Currently, MINs are widely used in all aspects of modern society, such as social networks [11], [12], transportation network [13], [14], wireless sensor networks [15], [16], [17], computer and communication systems [1], [2], [6], [8], and satellite systems [18], [19].