Biochemical Metabolic Modelling Using Fuzzy Type-2.

A Type 2 fuzzy system modelling algorithm

In this paper, a modified fuzzy system modelling algorithm that incorporates Type 2 fuzzy sets, which is based on intervalvalued membership degrees rather than singleton membership degrees, is proposed. The proposed algorithm is evaluated in terms of predictive performance and determination of the significance degrees and compared with other algorithms in the literature, namely Stepwise Multipl...

Interval Type-2 Fuzzy Rough Sets and Interval Type-2 Fuzzy Closure Spaces

The purpose of the present work is to establish a one-to-one correspondence between the family of interval type-2 fuzzy reflexive/tolerance approximation spaces and the family of interval type-2 fuzzy closure spaces.

Type-2 Fuzzy Arithmetic using Alpha-planes

This paper examines type-2 fuzzy arithmetic using interval analysis. It relies heavily on alpha-cuts and alpha-planes. Furthermore, we discuss the use of quasi type-2 fuzzy sets proposed by Mendel and Liu and define quasi type-2 fuzzy numbers. Arithmetic operations of such numbers are defined and a worked example is presented. Keywords— Fuzzy Arithmetic, Type-2 Fuzzy Arithmetic, Type-2 Fuzzy Nu...

Modelling and Prediction of the MXNUSD Exchange Rate Using Interval Singleton Type-2 Fuzzy Logic Systems

Fuzzy modelling using fuzzy mathematical programming

In this paper we will describe several methods that solve, using mathematical programming, different problems that, although can be used in others fields in the fuzzy modelling context, we have used them in the of fuzzy classification context. These problems are: feature selection, rule selection and clustering. In order to evaluate the accuracy of these methods, a lot of data sets have been us...