Approximate bisimulations for fuzzy automata have recently drawn attention of researches,
since they allow to correlate different fuzzy automata which behave equivalently only to the …

Abstract Systems of fuzzy relation equations and inequalities in which an unknown fuzzy
relation is on the one side of the equation or inequality are linear systems. They are the most …

The problem of aggregating large fuzzy relational structures is of major importance. One of
the main issues is seeking a simpler fuzzy relational structure, while keeping the structure …

In this paper we study subsystems, reverse subsystems and double subsystems of a fuzzy
transition system. We characterize them in terms of fuzzy relation inequalities and equations …

Social network analysis is a methodology used extensively in social science. Classical
social networks can only represent the qualitative relationships between actors, but …

Right invariant fuzzy quasi-orders for fuzzy automata are broadly studied in the recent
literature, as they arise as solutions to particular systems of fuzzy relation equations and …

The paper deals with systems of fuzzy relation equations known in the literature as eigen
fuzzy set equations, as well as with systems of related fuzzy relation inequalities. Our main …

In order to facilitate the processing of vast amounts of data that emerges in the study of fuzzy
social networks, scholars have developed various procedures for reducing these networks …

In this paper we introduce two types of simulations and five types of bisimulations for fuzzy
social networks, and we study one of them–regular bisimulations. We prove that if there …

Forward and backward bisimulations have been introduced recently by Ćirić et al.(2012)[9]
as a means for modeling the equivalence between states of fuzzy automata and …