Fuzzy control can be interpreted as an approximation technique for a control function based on typical, imprecisely speciied input{output tuples that are represented by fuzzy sets. The imprecision is characterized by similarity relations that are induced by transformations of the canonical distance function between real numbers. Taking this interpretation of fuzzy controllers into account, in o...

A new constrained edit distance between an ordered set of input strings and a single output string is proposed. All the strings are assumed to have finite lengths and to be over a finite alphabet. Editing transformation respectively includes deletion of symbols from the input strings, combination of the so-reduced input strings by a function with memory, and substitution and insertion of symbol...

We investigate the characteristics of constant-amplitude input shapers for robust time-optimal maneuvers of exi-ble structures. Trends in the timing of the shaper impulses are shown as a function of the system damping constant and move distance. The insensitivity to modeling errors, time-optimality, amount of vibration caused during maneuvers, and high frequency excitation of these shapers are ...

We introduce approximate Source-consistency, for transformations of words and trees, the relaxed version of the Source-consistency problem. A setting consists in an input schema, an output schema and a relation T between input and output structures. Given an input structure I, we want to decide if there is an output structure J in the output schema such that (I, J) ∈ T . We consider transducers...

We build a functorial pipeline for persistent homology. The input to this is filtered simplicial complex indexed by any finite metric lattice, and the output persistence diagram defined as Möbius inversion of its birth-death function. adapt Reeb graph edit distance each our categories prove that both functors in are 1-Lipschitz, making stable. Our constructions generalize classical diagram, set...

Fuzzy linear regression models can provide an estimated fuzzy number that has a fuzzy membership function. If a point that has the highest membership value from the estimated fuzzy number is not within the support of the observed fuzzy membership function, a decisionmaker can have high risk from the estimate. In this study a new distance, between fuzzy numbers is proposed. On the basis of this ...

Segmentation is an important step for image analysis, but a good segment algorithm which can handle color image with texture area and has less computation time is rare. W e propose to use the local window image histogram, which is easy to compute and could quickly collect the information of neighbors, together with the Se2f-Organization of Kohonen Feature Map ( SOFM ) neural network, which can ...

Abstract Let I be a homogeneous ideal in polynomial ring S . In this paper, we extend the study of asymptotic behavior minimum distance function δ and give bounds for its stabilization point, r , when is an F -pure or square-free monomial ideal. These are related with dimension Castelnuovo–Mumford regularity