Linear systems have important applications to many branches of science and engineering. In many applications, at least some of the parameters of the system are represented by fuzzy rather than crisp numbers. So it is immensely important to develop numerical procedures that would appropriately treat general fuzzy linear systems (will be denoted by FLS) and solve them. In this paper firstly a gen...

This paper presents the control of nonlinear systems subject to parameter uncertainties under a fuzzy control approach. The nonlinear plant tackled in this paper is an n-order nonlinear systems with n inputs. A design procedure of fuzzy controller will be provided such that the states of the closed-loop system will follow those of a userdefined stable reference model despite the presence of par...

The advent of fuzzy logic controllers has inspired the allocation of new resources for the possible realization of more efficient methods of control. In comparison with traditional controller design methods requiring mathematical models of the plants, one key advantage of fuzzy controller design lies in its model-free approach. Conventionally, the selection of fuzzy if-then rules often relies h...

Y. J. Zhang, L. B. Wu, H. Y. Zhao, X. D. Hu, W. Y. Zhang, D. Y. Ju, School of Materials and Metallurgy, University of Science and Technology Liaoning, China This paper studies the adaptive fuzzy control problem of the molten steel level for a class of twin roll strip casting systems. Based on fuzzy logic systems (FLSs) and the mean value theorem, a novel adaptive tracking controller with parame...

W e offer a new typology of problems according to such a t t r ibutes as the fuzzy set of possible solutions, the fuzzy set of properties a solution should have, the fuzzy set of knowledge necessary and sufficient to find a solution, deadlines and constraints. Problems are ranked by degree of ' s t ructuredness ' f rom well-s tructured to ill-defined. Some real problems are shown to be ill-defi...

Fuzzy identity based encryption (FIBE), proposed by Sahai and Waters, is a new kind of identity based encryption. It allows users with identity w can decrypt ciphertext for w′ if and only if w is close enough to w′. Recently, Ren et al. proposed a new FIBE scheme and claimed it is fully CCA2 secure in the standard model with a tight reduction. However, in this paper we will show that their sche...

A formal logical system dealing with both uncertainty (possibility) and vagueness (fuzziness) is investigated. It is many-valued and modal. The system is related to a many-valued tense logic. A completeness theorem is exhibited. K E Y W O R D S : fuzzy logic, modal logic, possibilistic logic, comparative approach

This paper proposes a method for Bayesian networks that handles uncertainty and discretization of continuous variables when learning the networks from a database of cases. The database is reorganised in a new form of representation called reduced database where data are treated as distributions on symbolic values. K e y w o r d s : Bayesian networks, uncertainty, knowledge representation, fuzzy...

A special algebra called EQ-algebra has been recently introduced by Vilém Novák. Its original motivation comes from fuzzy type theory, in which the main connective is fuzzy equality. EQ-algebras have three binary operations meet, multiplication, fuzzy equality and a unit element. They open the door to an alternative development of fuzzy (manyvalued) logic with the basic connective being fuzzy e...