In this paper we are interested in a class of fuzzy numbers which is uniquely identified by their membership functions. The function space, denoted Xh,p, will be constructed combining nonlinear mappings h (subjective perception) and probability density functions (PDF) p (objective entity), respectively. Under our assumptions, prove that there always exists to fulfill the observed outcome for gi...

Recently it has been shown that sum and product are not the only operations that can be used in order to define concrete approximation operators. So, in Image Processing the sum and multiplication are not the only operations that can be used, but also, several other operations provided by fuzzy logic. In this sense, in the present paper, we will investigate how a pair consisting of a uninorm an...

The problem of representing intersection and union in fuzzy set theory is considered. There are various proposals in the literature to model these concepts. The possibility of using continuous triangular norms and conorms (including min and max) are taken up in a measurement–theoretic setting. The conditions are laid out to arrive at cardinal scales on which addition and multiplication are mean...

Micropropagation is a sophisticated technique for the rapid multiplication of plants. It has a great commercial potential due to the speed of propagation, the high plant quality, and the ability to produce disease-free plants. However, micropropagation is usually done by hand which makes the process cost-intensive and tedious for the workers especially because it requires a sterile work-place. ...

Breast cancer is the most commonly observed cancer in women both in the developing and the developed countries of the world .Cancer refers to the uncontrolled multiplication of a group of cells in a particular location of the body. A group of rapidly growing or dividing cells may form lump or mass of extra tissue. These masses are referred to as tumors. Cancer cells are termed as malignant tumo...

Weak pseudo BL-algebras (WPBL-algebras) are non-commutative fuzzy structures which arise from pseudot-norms (i.e. the non-commutative versions of triangular norms). In this paper, we study the pairs of weak negations on WPBL-algebras, extending the case of weak negations on Esteva–Godo MTL-algebras. A geometrical characterization of the pairs of weak negations in bounded chains is provided. Our...

In this paper we propose an extension to the Fuzzy Cognitive Maps (FCMs) that aims at aggregating a number of reasoning tasks into a one parallel run. The described approach consists in replacing real-valued activation levels of concepts (and further influence weights) by random variables. Such extension, followed by the implemented software tool, allows for determining ranges reached by concep...

In this paper, a discrete particle swarm optimization method is proposed to solve the multi-objective task assignment problem in distributed environment. The objectives of optimization include the makespan for task execution and the budget caused by resource occupation. A two-stage approach is designed as follows. In the first stage, several artificial particles are added into the initialized s...