In this work we discuss variants of a PDE based level set method. Traditionally interfaces are represented by the zero level set of continuous level set functions. We instead use piecewise constant level set functions, and let interfaces be represented by discontinuities. Some of the properties of the standard level set function are preserved in the proposed method. Using the methods for interf...

1. Definitions. These definitions are essentially those given by Gottschalk and Hedlund (cf. [3]).1 Let X be a topological space, T a topological group with identity e, and ir a mapping of X X T into X with the properties: (1) ir(x, e)=x, (2) 7r(7r(rc, h), t2)=ir(x, tit2), (3) ir is continuous. The triple (X, T, ir) is called a transformation group (or dynamical system). Henceforth we shall wri...

We investigate a new method to compute a piecewise linear representation of a surface in R or R from a set of sample points from the surface. As implicit surface functions we use the weighted sum of piecewise linear kernel functions centered at the surface points. For such a function we can partition R or R in such a way that these functions are linear on the subsets of the partition. For each ...

The investigation of impact of fuzzy sets on zero forcing set is the main aim of this paper. According to this, results lead us to a new concept which we introduce it as Fuzzy Zero Forcing Set (FZFS). We propose this concept and suggest a polynomial time algorithm to construct FZFS. Further more we compute the propagation time of FZFS on fuzzy graphs. This concept can be more efficient to model...

This work is part of a syndetic approach to the evaluation of the usability of interaction devices that takes into account the cognitive resources needed to use a device to perform particular tasks. In the syndetic approach both a cognitive model and a model of system behaviour are speci ed and brought together within a single framework in order to investigate their relations. The ICS model is ...

our aim in this paper is to introduce the notion of fuzzy soft near-subtraction semigroupsand fuzzy soft ideals of near-subtraction semigroups. we discuss some important properties of these new fuzzy algebraic structure and investigate some examples and counter examples.