This paper investigates the problem of stability analysis and fuzzy-smith compensation control for semi-active suspension systems with time delay. The dynamic system of the suspension system with time delay is first formulated in terms of control objectives, such as ride comfort, road handling, and suspension deflection. By using the Lyapunov stability analysis, the necessary and sufficient con...

2. Fuzzy stochastic processes First we give some mathematical notations regarding fuzzy numbers. Let (Ω,M, P ) be a probability space, where M is a σ-field and P is a non-atomic probability measure. R denotes the set of all real numbers, and let C(R) be the set of all non-empty bounded closed intervals. A ‘fuzzy number’ is denoted by its membership function ã : R → [0, 1] which is normal, upper...

The literature on portfolio analysis assumes that the securities returns are random variables with fixed expected returns and variances values (see Bachelier [1], Briec et al. [4] and Markowitz [10]). However, since investors receive efficient or inefficient information from the real world, ambiguous factors usually exist in it. Consequently, we need to consider not only random conditions but a...

A semi-mechanistic fuzzy modeling technique is proposed to obtain compact and transparent process models based on small data-sets. Semi-mechanistic models are hybrid models that consist of a white box structure based on mechanistic relationships and black-box substructures to model less defined parts. First, it is shown that certain type of white-box models can be efficiently incorporated into ...

Predicting air pollution is an important prerequisite for estimating, monitoring and mapping unknown pollution values. We can use fuzzy spatial prediction techniques to determine pollution concentration areas in practical situations where our observations are imprecise and vague. Fuzzy membership kriging with a semi-statistical membership function is an example of this type of technique. The im...

The objective of this chapter is to show that neural networks and fuzzy models can be incorporated in a semi-mechanistic modeling environment in a straightforward manner. The procedure is described by the development of a semi-mechanistic model for a real biochemical process, the enzymatic conversion of Penicillin-G. Two different type of black-box model parts:(i) a fuzzy model, and (ii) a neur...

The semi-active suspension system can instantly change the damping coefficient depending in order to ‘stiffen’ or ‘soften’ the system. It will effectively and timely eliminate road disturbances on the car body. Thus, research on the semi-active suspension system is necessary. According to the performance test of the proposed adjustable damper, the different damping coefficients can be selected ...

In this paper the notion of minimality is extended to relative semi-dynamical systems. We consider transitivity from the point of view of an observer which is a fuzzy set. Relative topological entropy of a relative semi-dynamical system as an invariant object of relative conjugate relations is studied. Finally illustrated example in polynomial functions is given to explain the idea of the paper.

In this paper, the concept of semi-compatibility in Fuzzy metric space has been applied to prove common fixed point theorem. A fixed point theorem for six self maps has been established using the concept of semi-compatibility and weak compatibility of pair of self maps, which generalizes the result of Cho [1]. Mathematics Subject Classification: Primary 47H10, Secondary 54H25

In this paper, we further investigate the constructions of fuzzy connectives on a complete lattice. We firstly illustrate the concepts of strict left (right)-conjunctive left (right) semi-uninorms by means of some examples. Then we give out the formulas for calculating the upper and lower approximation strict left (right)-conjunctive left (right) semi-uninorms of a binary operation.