Unions of relational systems

Unions of Relational Systems

We shall assume throughout that if is a class of structures (i.e., relational systems) that is elementary in the wider sense; that is, K is the class of all models of some finite or infinite set of sentences of the first order predicate logic with identity. A structure 23 is said to be a union of a set M of structures if each 21G M is a substructure of 23 and every element of 23 is an element o...

Fuzzy Relational Matrix-Based Stability Analysis for First-Order Fuzzy Relational Dynamic Systems

In this paper, two sets of sufficient conditions are obtained to ensure the existence and stability of a unique equilibrium point of unforced first-order fuzzy relational dynamical systems by using two different approaches which are both based on the fuzzy relational matrix of the model.In the first approach, the equilibrium point of the system is one of the centers of the related membership fu...

A NEW APPROACH TO STABILITY ANALYSIS OF FUZZY RELATIONAL MODEL OF DYNAMIC SYSTEMS

This paper investigates the stability analysis of fuzzy relational dynamic systems. A new approach is introduced and a set of sufficient conditions is derived which sustains the unique globally asymptotically stable equilibrium point in a first-order fuzzy relational dynamic system with sumproduct fuzzy composition. This approach is also investigated for other types of fuzzy relational composit...

fuzzy relational matrix-based stability analysis for first-order fuzzy relational dynamic systems

in this paper, two sets of sufficient conditions are obtained to ensure the existence and stability of a unique equilibrium point of unforced first-order fuzzy relational dynamical systems by using two different approaches which are both based on the fuzzy relational matrix of the model.in the first approach, the equilibrium point of the system is one of the centers of the related membership fu...

Orthogonal relational systems