This paper presents a new method for the construction and training of interval type-3 fuzzy logic systems whose inputs are uncertain type-2 non-singleton numbers (IT3 NSFLS-2). The proposed methodology is divided in two processes: 1) novel structure IT3 NSFLS-2 based on: a) level-alpha-0 system (IT2-alpha-0 FLS), on b) secondary membership function using Gaussian modeling to construct each rule...

Assisting humans in collaborative tasks is a promising application for robots, however effective assistance remains challenging. In this paper, we propose method providing intuitive robotic based on learning from human natural limb coordination. To encode coupling between multiple-limb motions, use novel interval type-2 (IT2) polynomial fuzzy inference modeling trajectory adaptation. The associ...

Abstract This paper investigates the fault estimation (FE)-based tolerant control (FTC) technique to achieve desired performance for nonlinear systems suffering from uncertainties, external disturbance and actuator faults using interval type-2 (IT2) Takagi–Sugeno (T–S) fuzzy model. In this work, an IT2 observer is built simultaneously estimate both system states faults, upon which a controller ...

In this paper we introduce the concentration and dilation operators on interval valued intuitionistic fuzzy soft sets of root type which is a generalization of fuzzy set, intuitionistic fuzzy set, interval valued intuitionistic fuzzy set and intuitionistic fuzzy set of root type and establish some properties of these operators. We define Hamming distance between two interval valued intuitionist...

Type-2 fuzzy sets were introduced by Zadeh in 1975 in a series of papers. The basic idea is to generalize the notion of ordinary fuzzy sets (type-1), a¤ording wider applicability. This paper gives a general overview of some of the mathematical aspects of type-2 fuzzy set theory, emphasizing precisely how type-2 generalizes type-1 and interval-valued fuzzy set theory. We will summarize the theor...

In recent years, there have been a growing interest in developing Multi-Criteria Decision Making (MCDM) and Group Decision Making (GDM) using type-2 fuzzy sets and Intuitionistic Fuzzy Sets (IFSs) which provide frameworks to handle the encountered uncertainties in decision making models. Previous research has shown the power of type-2 fuzzy logic systems to handle the linguistic uncertainties. ...