When we regard the plane as a set of points, we can deene various geometric properties of subsets of the plane|connectedness, convexity, area, diameter, etc. It is well known that the plane can also be regarded as a set of lines. This note considers methods of deening sets (or fuzzy sets) of lines in the plane, and of deening (analogs of) \geometric properties" for such sets.

In quality control of freeze-dried durian, crispiness is a key quality index of the product. Generally, crispy testing has to be done by a destructive method. A nondestructive testing of the crispiness is required because the samples can be reused for other kinds of testing. This paper proposed a crispiness classification method of freeze-dried durians using fuzzy logic for decision making. The...

The notion of metric space plays a basic role in several researches addressed to process information. Indeed the objects we will investigate are represented by points and the distance is a measure of " dissimilarity " between objects. Now, the question that arises is if such a notion is the better one in a context in which we are not able to obtain complete information about the considered obje...

The inverters are commonly used for medium power induction heating applications. In the process of induction cooking, a disc of metal is surrounded by a copper coil through which an alternating current is made to flow. The disc has a finite diameter and thickness. It is placed at a given distance from the coil and concentric to it. Secondary current is induced in the disc and this induced curre...

To improve accuracy of localize suspicious lesion region in dermatoscopic images using Region Growing, the initial step based on fuzzy sets to enhance the lesion region of interest (ROI) is developed. The result of skin lesion detection is used to extract Asymmetry, Border Irregularity, Color Variation, Diameter (ABCD) features for melanoma skin cancer diagnosis. ABCD feature is the rule that i...

The aim of this work is to study the applications of soft computing technique on the machinability of bagasse fiber-reinforced vinyl ester composites. The prediction accuracy of regression, artificial neural networks, and neuro-fuzzy methods on the response variables during machining of bagasse fiber-reinforced vinyl ester composite sheets.. In experimental part, a total of 27 experiments was c...

The general problem of data clustering is concerned with the discovery of a grouping structure within a finite number of data points. Fuzzy Clustering algorithms provide a fuzzy description of the discovered structure. The main advantage of this description is that it captures the imprecision encountered when describing real-life data. Thus, the user is provided with more information about the ...

Shield crossing loess stratum will encounter many engineering problems such as excessive local soil deformation and ground collapse crater. Based on the phenomenon characteristics of caused by large-diameter shield strata, this paper summarizes curve, analyzes causes reaction deformation, main laws strata. And fuzzy mathematical method is used to analyze influencing factors provide theoretical ...