This paper presents a genetic algorithm based approach for designing fuzzy wavelet neural network (FWNN) and its application for control of dynamic plants. The structure of the proposed Fuzzy WNN consists of combination of two network structure. Upper side contains wavelet neural networks and down side contains network structure of the fuzzy inference system. A simple genetic algorithm is appli...

In this paper we introduce and analyze the notion of fuzzy hyperideal of a fuzzy hyperring. Then we investigate some properties based on homomorphisms between fuzzy hyperrings. Also, we try to extend the notion of cuts in fuzzy structures for fuzzy hyperrings. We study the quotient structure of a fuzzy hyperring and also we define fuzzy hypercongruences. Then we investigate some connections bet...

The paper deals with the operation of fuzzy weighted average of fuzzy numbers. The operation can be applied to the aggregation of partial fuzzy evaluations in fuzzy models of multiple criteria decision making and to the computation of expected fuzzy evaluations of alternatives in discrete fuzzy-stochastic models of decision making under risk. Normalized fuzzy weights figuring in the operation h...

In this paper, we introduce a Takagi-Sugeno (TS) fuzzy model which is derived from a typical Multi-Layer Perceptron Neural Network (MLP NN). At first, it is shown that the considered MLP NN can be interpreted as a variety of TS fuzzy model. It is discussed that the utilized Membership Function (MF) in such TS fuzzy model, despite its flexible structure, has some major restrictions. After modify...

Taking into account the notion of BL-general fuzzy automaton, in the present study we define the notation of BL-intuitionistic general L-fuzzy automaton and I-bisimulation for BL-intuitionistic general L-fuzzy automaton.Then for a given BL-intuitionistic general L-fuzzy automaton, we obtain the greatest I-bisimulation. According to this notion, we give the structure of quotient BL-intuiti...

Stability of a fuzzy control system is closely related to the analytical structure of the fuzzy controller, which is determined by its components such as input and output fuzzy sets and fuzzy rules. We first characterize the mathematical input–output structure of fuzzy controllers and then utilize the structure characteristics to advance stability analysis. We study how the components of a gene...

The contents and meanings of mapping relationships between physical domain and function domain in different design stages, such as conceptual design, detail design and enhancement design, were analyzed. According to the analysis results, the fuzzy mapping between physical domain and function domain in different design stages was established by integrating objective information and subjective in...

Fuzzy theory is highly promising for active structural control. The advantage of fuzzy controllers over classical controllers is the limited number of measured structural responses used to implement the control rules and its intrinsic robustness. In this paper, Fuzzy rules were generated firstly by learning from sample data obtained from the performance of the system under optimal control algor...

In this study, a new fuzzy integral model with adaptation capability called as “Adaptive Fuzzy Integral” was proposed to use in particularly control systems instead of conventional fuzzy integral. Until now, in the fuzzy integral applications, the fuzzy density values of control criterias were defined fixed. But this structure is not suitable for dynamic characteristic of control systems. There...

In this paper, a TSK-type compensatory neural fuzzy network (TCNFN) for classification applications is proposed. The TCNFN model is a five-layer structure, which combines the traditional Takagi-Sugeno-Kang (TSK). Layer 3 of the TCNFN model contains adaptive compensatory fuzzy operations, which make fuzzy logic systems more adaptive and effective. Furthermore, a self-adaptive learning algorithm,...