The starting point of this paper is the introduction of a new measure of inclusion of fuzzy set A in fuzzy set B. Previously used inclusion measures take values in the interval [0,1]; the inclusion measure proposed here takes values in a Boolean lattice. In other words, inclusion is viewed as an Lfuzzy valued relation between fuzzy sets. This relation is reflexive, antisymmetric and transitive,...

In many practical systems, stochastic behaviors usually occur and need to be considered in the controller design. To ensure system performance under effect of behaviors, may become bigger even beyond capacity applications. Therefore, actuator saturation problem also must The type-2 Takagi-Sugeno (T-S) fuzzy model can describe parameter uncertainties more completely than type-1 T-S for a class n...

This paper presents a novel adaptive neuro-fuzzy inference system based on interval Gaussian type-2 fuzzy sets in the antecedent part and Gaussian type-1 fuzzy sets as coefficients of linear combination of input variables in the consequent part. The capability of the proposed ANFIS2 for function approximation and dynamical system identification is remarkable. The structure of ANFIS2 is very sim...

An adaptive neuro fuzzy inference system based on interval Gaussian type-2 fuzzy sets in the antecedent part and Gaussian type-1 fuzzy sets as coefficients of linear combination of input variables in the consequent part is presented in this paper. The capability of the proposed method (we named ANFIS2) for function approximation and dynamical system identification is remarkable. The structure o...

The operation planning problem encounters several uncertainties in terms of the power system’s parameters such as load, operating reserve and wind power generation. The modeling of those uncertainties is an important issue in power system operation. The system operators can implement different approaches to manage these uncertainties such as stochastic and fuzzy methods. In this paper, new ...

The last few decades have witnessed rapid progress in the field of type-2 fuzzy systems and in particular interval type-2 fuzzy systems. Encouraged by this progress, we present in this paper some theoretical foundations and applications of interval-valued fuzzy morphological associative memories (IV-FMAMs) as a rule-based system. We perform simulations concerning the application of IV-FMAMs to ...

This paper proposes a new adaptive control technique for shunt active power filter (SAPF) by applying the interval type-2 fuzzy controller (IT2FC) in the DC voltage outer loop. This adaptive method achieved the main control objectives and compensated the active filter parameters uncertainties besides the unbalanced loads compensation without neutral wire. The interval type-2 fuzzy controller (I...

choosing the right set of projects is the first step of project oriented firms in strategic project portfolio management. since economic growth depends on environmental and social issues, sustainable development has been an essential part of firms' plans to keep their competitive advantage. moreover, market conditions, fast worldwide changes and other similar issues have given these issue ...

In this study, a new Robust Inexact Joint-optimal a cut Interval Type-2 Fuzzy Boundary Linear Programming (RIJ-IT2FBLP) model is developed for planning of energy systems by integrating both the interval T2 fuzzy sets and the Inexact Linear Programming (ILP) methods. It intends to find an optimal solution for energy systems under such uncertainty expressed as interval fuzzy boundary intervals th...