ARITHMETIC-BASED FUZZY CONTROL

Phi-Calculus Fuzzy Arithmetic: application to model based control

This paper aims at applying a fuzzy arithmetic of intervals calculus and fuzzy quantities to automatic control. This one called φ–calculus fuzzy arithmetic is more practical than the extension principle one and -cut based methods. It comes from a different representation of fuzzy numbers. The present paper follows up work in introducing. The present paper is interested in its use for a fuzzy in...

Derived fuzzy importance of attributes based on the weakest triangular norm-based fuzzy arithmetic and applications to the hotel services

The correlation between the performance of attributes and the overallsatisfaction such as they are perceived by the customers is often used tocalculate the importance of attributes in the crisp case. Recently, the methodwas extended, based on the standard Zadeh extension principle, to the fuzzycase, taking into account the specificity of the human thinking. Thedifficulties of calculation are im...

Fuzzy-arithmetic-based Lyapunov Function for Design of Fuzzy Controllers

A novel approach to design fuzzy controllers using fuzzy-arithmetic-based Lyapunov function that gives a linguistic description on the plant and the control objective is presented in this paper. An inverted pendulum system is used as a benchmark dynamic nonlinear plant for evaluating the proposed method. It is shown that a set of stable fuzzy control rules can be derived from perception-based i...

Fuzzy Number Intuitionistic Fuzzy Arithmetic Aggregation Operators

A fuzzy number intuitionistic fuzzy set (FNIFS) is a generalization of intuitionistic fuzzy set. The fundamental characteristic of FNIFS is that the values of its membership function and non-membership function are trigonometric fuzzy numbers rather than exact numbers. In this paper, we define some operational laws of fuzzy number intuitionistic fuzzy numbers, and, based on these operational la...

Fuzzy Arithmetic with Parametric LR Fuzzy Numbers

Approximation Based Fuzzy Control

A new fundamental idea of expressing expert knowledge in a form fuzzy rules base (FRB for short) has been brought to the control theory. However, for some processes an expert knowledge acquisition is not a trivial task although there exist experts able to control such processes. In that cases, a data-driven approach of a construction of an FRB is used. This sometimes leads to such control techn...