In the study, we developed a new model of fuzzy correlation and empirically examined the fuzzy correlation with student test scores in subjects of Chinese and Mathematics. Our sample comprised 419 Taiwanese students in the 12-year compulsory education. We applied fuzzy theory and conducted simulations with the data from Normal, Uniform, and Cauchy distributions to illustrate the efficiency of o...

In this paper the convergence criterion of fuzzy random variable is investigated. An attempt is made to study the equivalence relation of uniform integrability of fuzzy random variables. Mean convergence theorem, Lebesgue dominated convergence theorem and Mean Ergodic theorem for the case of fuzzy random variable are introduced.

In the present paper, we study some properties of fuzzy norm of linear operators. At first the bounded inverse theorem on fuzzy normed linear spaces is investigated. Then, we prove Hahn Banach theorem, uniform boundedness theorem and closed graph theorem on fuzzy normed linear spaces. Finally the set of all compact operators on these spaces is studied.

The variance of fuzzy random variables often appears in fuzzy random programming problems. Based on the definition of the variance of a fuzzy random variable, this paper attempts to deduce several formulas for the variances of trapezoidal fuzzy random variables, in which the randomness is characterized by uniform distribution. Firstly, we give the moment formulas for trapezoidal fuzzy variables...

This paper presents a new distance relay technique for transmission line protection by using well known control technique; Adaptive Neuro-Fuzzy Inference System (ANFIS). The ANFIS can be viewed either as a fuzzy system, a neural network or fuzzy neural network FNN. The structure is seen as a neural network for training and a fuzzy viewpoint is utilized to gain insight into the system and to sim...

Background: Science relies on experimentation to find truth. It demands that conditions remain unchanged for each repetition of an experiment. Thus, medicine relies on ‘probability theory’ based statistics and large double blind controlled randomized clinical trials. The purpose of this study is to discover measures that account for different and changing conditions of individual patients. Thes...

In this paper we present an algorithm for automatic generation of fuzzy neural networks (FNN). Fuzzy neural networks are concept that integrates some features of the fuzzy logic and the artificial neural networks theory. Based on analysis of several different fuzzy neural networks models, uniform representation method is presented, and two basic types are identified: FNN based on perception fra...