Fuzzy rules are usually generated by experts in the area, especially for control problems with only a few inputs. With an increasing number of variables, the number of rules is increasing exponentially, which makes more difficult for experts to define the rule set for good system performance. In solving this, researchers have looked into hybrid the fuzzy based to enhance or reduce complexity. W...

This paper investigates Sugeno’s and Yasukawa’s qualitative fuzzy modeling approach. We propose some easily implementable solutions for the unclear details of the original paper, such as trapezoid approximation of membership functions, rule creation from sample data points, and selection of important variables. We further suggest an improved parameter identification algorithm to be applied inst...

In this paper, a quantum neuro-fuzzy classifier (QNFC) for classification applications is proposed. The proposed QNFC model is a five-layer structure, which combines the compensatory-based fuzzy reasoning method with the traditional Takagi–Sugeno–Kang (TSK) fuzzy model. The compensatory-based fuzzy reasoning method uses adaptive fuzzy operations of neuro-fuzzy systems that can make the fuzzy lo...

in this paper, a new approach is proposed in order to select an optimal membership function for inputs of wind speed prediction system. then using a fuzzy method and the stochastic characteristics of wind speed in the previous year, the wind speed modeling is performed and the wind speed for the future year will be predicted. in this proposed method, the average and the standard deviation of in...

The shapes of terms used in fuzzy systems have adopted several ‘conventions’. Terms are almost invariably normalised (having a maximum membership value of 1), convex (having a single maximum or plateau maxima) and distinct (being restricted in their degree of overlap: often expressed as some variation on the concept that all membership values at any point in the universe of discourse sum to 1 a...

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...

In this paper, we introduce the new definition of rough membership function using continuous and discuss several concepts properties set value functions as results on function. Moreover, extend to topology spaces by substituting an equivalence class prove some theorems certain types more general fundamental generalized sets. Our result concept valued theory.