The original idea of reasoning and control within fuzzy rule bases was proposed by Zadeh [1], and was called the Compositional Rule of Inference (CRI) and had the disadvantage of running directly in the k-dimensional input space (where k is the number of variables) while being able however to describe multi-dimensional membership function distributions of arbitrary shape. Its modified version, ...

In this paper we extend the classical Lyapunov synthesis method to the domain of computing with words. This new approach is used to design fuzzy controllers. Assuming minimal knowledge about the plant to be controlled, the proposed method enables us to systematically derive the fuzzy rules that constitute the rule base of the controller. We demonstrate the approach by designing Mamdani-type and...

P-fuzzy dynamical systems are variational systems whose dynamic is obtained by means of a Mamdani type fuzzy rule-based system. In this paper, particularly, we are going to approach the 1-dimensional p-fuzzy dynamical systems and will present theorems that establish conditions of existence and uniqueness of stationary points. Besides the obtained analytical results, we will present examples tha...

Peer to peer (P2P) systems are autonomous and decentralized systems with a form of distributed computing. Hence each peer in the network is heterogeneous and is not fully reliable. In this paper it has been tried to estimate the trustworthiness of each peer in the network using Mamdani Fuzzy Inference Systems. For estimating the trust only some of the parameters are considered, namely Capabilit...

In this paper a rewiev and a critical analysis of various, soft computing based, approximate reasoning methods is given, studied in the Phd thesis of the author. Since Mamdani first implemented a fuzzy logic controller it has also gone trough substantial theoretical developments and serious discussions about place of this method in theory of computational rule of inference. The paper gives a re...