in this paper, we introduce the concepts of norm and inner prod- uct on fuzzy linear spaces over fuzzy elds and discuss some fundamental properties.

ABSTRACT: In this study, adaptive neuro-fuzzy inference system, and feed forward neural network as two artificial intelligence-based models along with conventional multiple linear regression model were used to predict the multi-station modelling of dissolve oxygen concentration at the downstream of Mathura City in India. The data used are dissolved oxygen, pH, biological oxygen demand and water...

In this paper, we have presented a new method to evaluate fuzzy linear regression models based on Tanaka’s approach, where both input data and output data are fuzzy numbers, using Tw-based fuzzy arithmetic operations. This method simpli3es the computation of fuzzy arithmetic operations. General linear program is applied to derive the solutions. We also prove scale-independent property of our mo...

Dichotomization of the outcome by a single cut-off point is an important part of various medical studies. Usually the relationship between the resulted dichotomized dependent variable and explanatory variables is analyzed with linear regression, probit regression or logistic regression. However, in many real-life situations, a certain cut-off point dividing the outcome into two groups is unknow...