Fuzzy Sets and Systems

The topic of synchronization of fractional-order fuzzy complex networks with time-varying couplings and proportional delay is addressed in this paper. By combining graph theory, the Lyapunov method, and the Razumikhin method, the synchronization ...

In granular computing, fuzzy sets can be approximated by granularly representable sets that are as close as possible to the original fuzzy set w.r.t. a given closeness measure. Such sets are called granular approximations. In this article, we ...

• Concepts of disjoint and adjacent fuzzy granules are introduced.
• The introduced concepts are investigated from the perspective of granular approximations.
• Granular approximations are extended to the case of multi-class ...

Recently the max-product fuzzy relation inequalities have been applied to describe the wireless communication basic-station system. In this paper we further define the so-called random-term-absent (RTA) max-product fuzzy relation inequalities, ...

The max-min fuzzy relation inequalities have been recently introduced for modeling the Peer-to-Peer (P2P) educational information resources sharing system. Each solution of the max-min system is indeed a feasible scheme in the corresponding P2P ...

Can convergence of random variables, random vectors or, more generally, random elements of a metric space be studied using fuzzy integrals, in particular the seminormed integral? Among the positive results we present, it is shown that for large ...

In this paper, we introduce the concept of pseudo-inverse of a monotone function between complete lattices. Using this pseudo-inverse, we provide methods for generating t-norms and t-conorms on a complete lattice via a complete inf-homomorphism ...

This article deals with the problem of the existence of solution for a class of first-order fuzzy differential equations in dual form in the sense that the derivative of the unknown function appears on both sides of the equation. The problem is ...

In this paper, we define strongly fuzzy variational Henstock multiple integral and fuzzy Henstock integral by support functions on n-dimensional fuzzy number space. And we prove these two types of integrals are equivalent. After that, we propose ...

Considering the framework of weak concordance measures introduced by Liebscher in 2014, we propose and study convex weak concordance measures. This class of dependence measures contains as a proper subclass the class of all convex concordance ...

Fuzzy cognitive maps (FCMs) with the abilities of knowledge representation and causal reasoning have been widely applied in the control-related fields of multi-agent systems (MAS), such as the mobile robots and unmanned aerial vehicles (UAVs). ...

Every aggregation operator can embody a certain aggregation style pertaining to some detailed evaluation practice. Actually, with these aggregation styles preserved, additional weight functions can further influence the aggregation processes by ...