Research ArticleOpen accessIn the abstractAn Evolution Strategy for the Induction of Fuzzy Finite-state AutomataMozhiwen, WanminThis study presents an evolution strategy used to infer fuzzy finite-state automata from examples of a fuzzy language. We describe the fitness function of an generated automata with respect to a set of examples of a fuzzy language, the representation of the transition of the automata as well as the output of the states in the evolution strategy and the … …Journal of Mathematics and Statistics, Vol. 2, Issue 2 · 30 Jun 2006 · 6,695 accessesView PDFCite
Research ArticleOpen accessIn the abstractFailure Diagnosis on Discrete Event SystemsSihem Kechida, Nasr Eddine DebbacheThe modern technology advances to a point where it is possible and extensively desirable to improve reliability and the technical process safety. This is achieved by computer implanted FDI procedures (Fault Detection and Isolation). However, the malfunction of actuators, sensors and of the process components, as well as erroneous actions of human operators can have some disastrous consequences in high … …American Journal of Applied Sciences, Vol. 2, Issue 11 · 30 Nov 2005 · 6,888 accessesView PDFCite
Research ArticleOpen accessIn the abstractKorovkin and Weierstrass Approximation via Lacunary Statistical SequencesRichard F. Patterson, Ekrem SavaşIn this study we shall extended Korovkin and Weierstrass approximation theorem to lacunary statistical convergent sequences. In addition, to these approximation theorems, we established also introduced lacunary statistically convergent of degree β and establish a corresponding Korovkin type theorem namely the following: If the sequence of positive linear operators Pn: CM [a, b]→ B[a, b] satisfies the conditions: * ||Pn(1, … …Journal of Mathematics and Statistics, Vol. 1, Issue 2 · 30 Jun 2005 · 6,659 accessesView PDFCite
Research ArticleOpen accessIn the abstractStrong Convergence Theorems for Fixed Points of Asymptotically Nonexpansive Mappings in Uniformly Smooth Banach SpacesOlusegun Olawale OwojoriIn this work, we establish strong convergence of the improved modified three-step iteration methods for asymptotically nonexpansive operators in uniformly smooth and convex Banach spaces. Our results generalize the previous results of Schu [10], Osilike and Aniagbosor [5], Xu and Noor [13], as well as Owojori and Imoru [7] among others. …Journal of Mathematics and Statistics, Vol. 1, Issue 2 · 30 Jun 2005 · 5,992 accessesView PDFCite
Research ArticleOpen accessIn the abstractApproximation Methods for Fixed Points of Quasi-contractive Mappings in Arbitrary Real Banach SpacesOlusegun O. OwojoriOwojori and Imoru [1] introduced some iteration methods and investigated its convergence for pseudocontractive and accretive operators in arbitrary Banach spaces. In this work, strong convergence results are established for fixed points of a general type of quasicontractive mappings in arbitrary real Banach spaces. Our results here represent some improvements on the earlier results of Owojori and Imoru [1], Naimpally … …Journal of Mathematics and Statistics, Vol. 1, Issue 2 · 30 Jun 2005 · 6,155 accessesView PDFCite
Research ArticleOpen accessIn the abstractSocial-economic and Ecological Criteria of Noise ControlM. A. Al-NawaflehWhen designing new and/or modifying pre-existing equipment, the problem of economic feasibility is always of prime importance . However, the economic feasibility is often a matter of discussion in various social aspect. To operate no aesthetic, noisy, dusty, gazed heavy machine with large number of visually fixed moving parts and gearing, it is often dangerous and even risky. The work … …American Journal of Applied Sciences, Vol. 2, Issue 2 · 28 Feb 2005 · 6,676 accessesView PDFCite