Various Constructions of Continuous Information Systems

Investigation of the Tearing Performance of Fabrics with Various Constructions, Woven from Different Yarn Spinning Systems

Geometric Constructions Relating Various Lines of Regression

As a direct consequence of the Galton-Pearson-McCartin Theorem [10, Theorem 2], the concentration ellipse provides a unifying thread to the Euclidean construction of various lines of regression. These include lines of coordinate regression [7], orthogonal regression [13], λ-regression [8] and (λ, μ)-regression [9] whose geometric constructions are afforded a unified treatment in the present pap...

Information Systems for Continuous Posets

The method of information systems is extended from algebraic posets to continuous posets by taking a set of tokens with an ordering that is transitive and interpolative but not necessarily reflexive. This develops results of Raney on completely distributive lattices and of Hoofman on continuous Scott domains, and also generalizes Smyth’s “R-structures”. Various constructions on continuous poset...

Tree Constructions of Free Continuous Algebras

SIMULATING CONTINUOUS FUZZY SYSTEMS: I

In previous studies we first concentrated on utilizing crisp simulationto produce discrete event fuzzy systems simulations. Then we extendedthis research to the simulation of continuous fuzzy systems models. In this paperwe continue our study of continuous fuzzy systems using crisp continuoussimulation. Consider a crisp continuous system whose evolution depends ondifferential equations. Such a ...