Growing use of terminals for CAD/CAM as well as the general proliferation of work stations justifies focusing attention on effective communication at the terminal interface. Color is often used to enhance the flow of information even though many aspects of color are still not well understood. Close scrutiny of the color phenomena using fuzzy set concepts as well as conventional techniques has yielded quantitative results consistent with available folk theorems. These results and some new insight on earlier color selection methods are presented concisely. We build on our previous results: a 20 gray level criterion and the quantitative transformation yielding the number of colors C corresponding to a given number of gray levels L. This relation C = 0.074L3 and a fuzzy entropy-based information measure are found to fit closely a lognormal distribution. Natural (not computer) languages present a different problem because of more ambiguity and variability. the bridge here stems from the observation that corresponding to the upper bound of about 200 gray levels for vision, we find that the human larynx can produce about 200 distinctive sounds which is the key to language capability. We focus on English because it is an important special case for international technical and scientific discourse. Our concepts and techniques are extended to yield some initial informal results concerning usable vaocabulary. Based on the latter, we present a general display for number of gay levels, color, and English words.

Here we propose a novel fractal-graph approach to complement the usual graph-theoretic methods which are critically limited when applied to large networks with their continued growth and dynamic characteristics. This fractal-graph approach uses the sometimes hidden underlying order inherent in typical networks and focusses on their global properties. This allows a prescription both for the growth of these complex networks and a framework for characterizing them in new ways.

A closed-form equation is given for minimum redundancy linear arrays (MRLAs) based on a graph-theoretic approach. The results obtained include an expression for incremental change and a log-log plot for a large range of values as well as a plot of redundancy with limiting value of 4/3.

The following topics are discussed: (1) a measure for the information contained in fuzzy sets, (2) the relation between fuzzy information and Shannon's information], and (3) the relation between fuzzy information and physical entropy. Some related examples are presented. The theoretical results are shown to conform well to previously published experimental results on monochrome images.