In this paper, we propose a new mathematical model for image processing. It is a logarithmical one. We consider the bounded interval (-1, 1) as the set of gray levels. Firstly, we define two operations: addition 〈+〉 and real scalar multiplication 〈×〉. With these operations, the set of gray levels becomes a real vector space. Then, defining the scalar… (More)
—In this paper, one presents a fuzzy color clustering algorithm that is based on a new measure of similarity. This new measure of color similarity is defined on a perceptual color system called hsl.
In this paper a knowledge representation model are proposed, FP5, which combine the ideas from fuzzy sets and penta-valued logic. FP5 represents imprecise properties whose accomplished degree is undefined, contradictory or indeterminate for some objects. Basic operations of conjunction, disjunction and negation are introduced. Relations to other… (More)
In this paper we propose a new algebraical model for the gray level images. It can be used for digital image processing. The model adresses to those images which are generated in improper light conditions (very low or high level). The vector space structure is able to illustrate some features into the image using modified level of contrast and luminosity.… (More)
— This paper presents an extension of fuzzy set based on Łukasiewicz penta-valued logic. This new type of fuzzy set will be called penta-valued fuzzy set and will be defined by five scalar functions: the strong membership, the weak membership, the uncertainty, the weak non-membership and the strong non-membership. Also, the penta-valued fuzzy set represents… (More)
In this paper, we propose a mathematical model for color image processing. It is a logarithmical one. We consider the cube (-1,1) 3 as the set of values for the color space. We define two operations: addition + and real scalar multiplication . With these operations the space of colors becomes a real vector space. Then, defining the scalar product (.|.)… (More)