and Applied Analysis 3 A α , A β are matrices that will be updated adaptively with the following updating laws: ?̇? α (t) = −Q −1 ⋅ z ⋅ ξ T α ⋅ es, ?̇? β (t) = −Q −1 ⋅ z ⋅ ξ T β ⋅ es ⋅ u (t) (12) and finally the control law is described as follows: u (t) = 1 β (t) + β (x) (− [α (t) + ?̂? (x)] + v (t)) . (13) 2.2. Direct Adaptive Fuzzy Controller (DAFC). Control law u(t) in feedback linearization m...

We examine a linear programming problem formulation in which the constraint coefficients are not precisely given in the work. We investigate the possibility of applying GAs to solve this kind of fuzzy linear programming problem without defining membership functions for fuzzy numbers, using the extension principle, interval arithmetic, and α-cut operations for fuzzy computations, and using a pen...

Web administrators’ prioritization of several upgrading alternatives with respect to multiple contradictory criteria involve fuzziness and impreciseness of human’s subjective judgements in a Web server system. In this paper, fuzzy concepts are used to enhance the traditional Analytic Hierarchy Process (AHP) which are mainly applied in crisps decision environment. The entropy weight proposed by ...

This paper describes a new diagnosis system, which is based on fuzzy reasoning to monitor the performance of a discrete manufacturing process and to justify the possible causes. The diagnosis system consists chie ̄y of a knowledge bank and a reasoning mechanism. The knowledge bank provides knowledge of the membership functions of unnatural symptoms that are described by Nelson's rules on X contr...

There are many situations for statistical process in which we have both random and vagueinformation. When uncertainty is due to fuzziness of information, fuzzy statistical control charts play animportant role in the monitoring process, because they simultaneously deal with both kinds of uncertainty.Dealing with fuzzy characteristics using classical methods may cause the loss of information and ...