This paper is concerned with the problem of adaptive fuzzy output tracking for a class of perturbed strict-feedback nonlinear systems with time delays and unknown virtual control coefficients. Fuzzy logic systems in Mamdani type are used to approximate the unknown nonlinear functions, then the adaptive fuzzy tracking controller is designed by using the backstepping technique and Lyapunov–Krasov...

The direct adaptive regulation of nonlinear dynamical systems in Brunovsky form with modeling error effects, is considered in this paper. The method is based on a new Neuro-Fuzzy Dynamical System definition, which uses the concept of Fuzzy Adaptive Systems (FAS) operating in conjunction with High Order Neural Network Functions (HONNFs). Since the plant is considered unknown, we first propose it...

The present paper introduces the notion of the complete fuzzy norm on a linear space. And, some relations between the fuzzy completeness and ordinary completeness on a linear space is considered, moreover a new form of fuzzy compact spaces, namely b-compact spaces and b-closed spaces are introduced. Some characterizations of their properties are obtained.

We deal with the constrained fuzzy arithmetic as introduced by G.J. Klir. Its implementation represents a problem because maxima of nonlinear functions have to be found. This increases the complexity of computations in comparison to the classical calculus of fuzzy quantities. We suggest a modi ed computational procedure which allows to calculate a suboptimal (i.e., inexact) solution with an acc...

Fuzzy ideal set and fuzzy local function of fuzzy ideals with fuzzy topologies were introduced and studied by D. Sarker [10]. The purpose of this paper deals with new sort of fuzzy ideal and fuzzy local function namely fuzzy ideal and r-fuzzy open local function. Many of its characterizations, properties and connections between it and other corresponding fuzzy notions are studied. Also, we intr...

The concept of (fuzzy) probability density function of fuzzy random variable is proposed in this paper. Due to the "resolution identity", we can construct a closed fuzzy number from a family of closed intervals. Using the same technique, we can construct the (fuzzy) probability density function of fuzzy random variable from the known probability density function. The basic idea of the new metho...

The urge to remanufacture and address environmental concerns in various industrial processes has drawn the attention of academics as well practitioners towards Closed-loop Supply Chain Networks (CLSC). Although everchanging complex external factors including social economic ones, adversely impact sustainable development closed-loop supply chain networks. basic aim research is optimize functioni...

We establish some common fixed point theorems for Kannan fuzzy mappings on closed balls in a complete metric space. Our investigation is based on the fact that fuzzy fixed point results can be obtained simply from the fixed point theorem of multivalued mappings with closed values. In real world problems there are various mathematical models in which the mappings are contractive on the subset of...