The primary issue involved in image and signal processing is to efficiently remove noise from a digital color image while preserving its features. A fuzzy filter is presented for the reduction of additive noise for digital color images. The filter consists of two sub filters. The first sub filter computes fuzzy distances among the color components of the central pixel and its neighborhood. Thes...

We deene distances between geometric curves by the square root of the minimal energy required to transform one curve into the other. The energy is formally deened from a left invariant Riemannian distance on an innnite dimensional group acting on the curves, which can be explicitely computed. The obtained distance boils down to a variational problem for which an optimal matching between the cur...

We introduce a general class of distances (metrics) between Markov chains, which are based on linear behaviour. This class encompasses distances given topologically (such as the total variation distance or trace distance) as well as by temporal logics or automata. We investigate which of the distances can be approximated by observing the systems, i.e. by black-box testing or simulation, and we ...

The problem of optimal transportation between a set of sources and a set of wells has become recently the object of new mathematical models generalizing the Monge-Kantorovich problem. These models are more realistic as they predict the observed branching structure of communication networks. They also define new distances between measures. The question arises of how these distances compare to th...

Fuzzy nominal scales were introduced in order to propose a formalism to the representation of empirical quantities by fuzzy subsets of words. This paper presents the results of studies on distances associated to this formalism and proposes a new distance operator.

This paper considers to locate multiple new uncapacitated facilities on a plane bounded by a convex polygon under minisum, maximin and minimax criteria to meet fuzzy demands of customers. Some fuzzy programming models are initiated for this problem, where Euclidean distances are assumed as the scenario. And a hybrid intelligent algorithm is designed for solving the proposed models.

This paper discusses the minimax location problem with fuzzy locations of customers on a plane bounded by a convex polygon under a minmax criterion. Three types of fuzzy programming are presented for this problem according to different criteria, and Euclidean distances are assumed as the scenario. For solving the proposed models, a hybrid intelligent algorithm is designed.

The weight is one of the most useful tools to measure the attribute importance when individuals make a decision or evaluate the alternatives. Among the methods which measure the weight, fuzzy measures is are subjective scales for the degrees of fuzziness and widely used to determine the degrees of subjective importance of evaluation items in numerous studies for the time being. The purpose of t...

Supported in part by a CGAT (Canadian Genome Analysis and Technology) grant. Work done while the author was at McMaster University and University of Waterloo. Supported in part by NSF grant 9205982 and CGAT. Supported in part by NSERC Operating Grant OGP0046613 and CGAT. Supported in part by the NSERC Operating Grant OGP0046506 and CGAT. Supported in part by CGAT and NSERC Internation Fellowshi...