Ituitionistic Fuzzy Estimation of the Generalized Nets Model of Spatial-Temporal Group Scheduling Problems

Abstract

A cyber-physical system (CPS) is a system of collaborating computational elements controlling physical entities. Nowadays cyber-physical systems can be found in areas as diverse as robotics, automotive, chemical processes, civil infrastructure, energy, healthcare, manufacturing, transportation, entertainment, and consumer appliances. In this paper, we address the problem of spatial-temporal group scheduling using Generalized nets (GN). We use GN in order to model the spatial, temporal, ordered and concurrent character of our mobile, distributed system. Our model is based on a discrete topology in which devices can change their location by moving from cell to cell. Using the GN, we model movement in a heterogeneous terrain as well as task execution or access to other resources of the devices. Intuitionistic Fuzzy Logic (IFL) are defined as extensions of ordinary fuzzy sets. All results which are valid for fuzzy sets can be transformed here too. Also, all research, for which the apparatus of fuzzy sets can be used, can be used to describe the details of IFL. In this paper we use it to obtain the Intuitionistic Fuzzy Estimation (IFE) for obtaining the degree of effectiveness, the degree of ineffectiveness of the robot and uncertainty during the robot movement.