Copyright © 2013 X. Guo and D. Shang.This is an open access article distributed under theCreativeCommonsAttribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The fuzzy matrix equations ?̃?⊗?̃?⊗?̃? = ?̃? in which ?̃?, ?̃?, and ?̃? arem×m, n×n, andm×n nonnegative LR fuzzy numbers matrices, respectively, are invest...

We point out that if spatial information is encoded through linear operators Xi, or ‘infinite-dimensional matrices’ with an involution X∗ i = Xi then these Xi can only describe either continuous, discrete or certain ”fuzzy” space-time structures. We argue that the fuzzy space structure may be relevant at the Planck scale. The possibility of this fuzzy space-time structure is related to subtle f...

 This paper deals with measuring inconsistency and incompatibility of pair-wise comparison matrix with fuzzy elements. Here we deal with some properties of such pair-wise comparisons, particularly, reciprocity consistency and compatibility. Moreover, we show how to measure it defining two new indices. The first index of inconsistency is based on the classical concept of consistency, however, i...

In this paper, a novel method to generate fuzzy edges in medical images using the Type II fuzzy set theory is presented. Medical images are normally poorly illuminated and many edges are not visible properly, so construction of fuzzy edge image is a difficult task. Fuzzy edges are not the binary edges but it signifies the change in intensity levels of the image. The method is based on computati...