In this paper, advanced interval type-2 fuzzy sliding mode control (AIT2FSMC) for robot manipulator is proposed. The proposed AIT2FSMC is a combination of interval type-2 fuzzy system and sliding mode control. For resembling a feedback linearization (FL) control law, interval type-2 fuzzy system is designed. For compensating the approximation error between the FL control law and interval type-2...

chaotic systems are nonlinear dynamic systems, the main feature of which is high sensitivity to initial conditions. to initiate a design process in fuzzy model, chaotic systems must first be represented by t-s fuzzy models. in this paper, a new fuzzy modeling method based on sector nonlinearity approach has been recommended for chaotic systems relating to initial condition variations using the ...

osting by E Abstract Direct adaptive fuzzy controller is a class of adaptive fuzzy controllers which use fuzzy logic system (FLS) as controller. Interval type-2 fuzzy sets are able to model and minimize the numerical and linguistic uncertainties associated with the inputs and outputs of fuzzy logic controller (FLC). In this paper, a direct adaptive interval type-2 FLC is proposed for controllin...

Type-II fuzzy sets are used to convey the uncertainties in the membership function of type-I fuzzy sets. Linguistic information in expert rules does not give any information about the geometry of the membership functions. These membership functions are mostly constructed through numerical data or range of classes. But there exists an uncertainty about the shape of the membership, that is, wheth...

Article history: Received 17 August 2012 Received in revised form 24 April 2013 Accepted 24 April 2013 Available online 7 May 2013

In some applications of computing with words, it is necessary to map an interval type-2 fuzzy set (IT2 FS) into one of several classes, which are also represented by IT2 FSs. This classifier can be implemented by a subsethood measure. Five existing subsethood measures for IT2 FSs are considered in this paper. Comparative studies show that Vlachos and Sergiadis’s IT2 FS subsethood measure gives ...

Computing the centroid of a type-2 fuzzy set (T2 FS) is an important operation for such sets. For an interval T2 FS, the centroid can be computed by using two iterative procedures that were developed by Karnik and Mendel [2]. In this paper, we prove that if the footprint of uncertainty for an interval T2 FS is symmetrical about the primary variable y at y = m , then the centroid is also symmetr...

Based on a new hesitant fuzzy partial ordering proposed by Garmendia et al.~cite{GaCa:Pohfs}, in this paper a fuzzy disjunction ${D}$ on the set ${H}$ of finite and nonempty subsets of the unit interval and a t-conorm ${S}$ on the set $bar{{B}}$ of equivalence class on the set of finite bags of unit interval based on this partial ordering are introduced respectively. Then, hesitant fuzzy negati...

In theory of interval type-2 (IT2) fuzzy sets, type-reduction is one of the most difficult parts. Karnik-Mendel (KM) algorithms have been the most popular method for computing type-reduction of IT2 fuzzy sets. These algorithms present two independent procedures for computing the generalized centroid of an IT2 fuzzy set: the first one for computing its left part (denoted by cl), and the second o...