| Sugeno integral was invented a few decades ago as a natural fuzzy analogue of the classical integral. Sugeno integral has many interesting applications. It is reasonable to expect that it can be used in all application areas where classical integrals are used, and in many such areas it is indeed useful. Surprisingly, however, it has never been used in fuzzy control, although in traditional co...

In the last few decades the Choquet integral and the Sugeno integral have had several applications in many fields of mathematics, soft computing, pattern recognition and decision analysis [4, 5, 7, 17, 21]. It shows up in the recently published papers that some new types of integrals on symmetric scales are useful tools for applications in decision making problems [6, 8, 12, 21]. The Sugeno int...

This paper investigates the stabilization problem of interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy fractional order systems (FOSs). Firstly, IT2 model is constructed to approximate subject actuator saturation systems. Then, sufficient conditions output feedback control FOSs in terms linear matrix inequalities (LMIs) are presented by using method involving singular value decomposition (SVD). F...

This paper examines the dynamics and control of a variable blade pitch wind turbine during extreme gust subject to actuators saturation. The mathematical model is derived using Lagrange dynamics. controller formulated Takagi–Sugeno fuzzy utilizes parallel distributor compensator obtain feedback gain. controller’s objective generator electromagnetic torque angle attenuate external disturbances. ...

Several criteria affect bidding decisions. Current bidding models determine a markup based on a fixed project construction cost. This work presents a novel bid price determination procedure that is built by integrating a simulation-based cost model and a multi-criteria evaluation model. The cost model is used to consider cost uncertainties and generate a bid price cumulative distribution, where...

One of the famous mathematical inequalities is Minkowski’s inequality. It is an important inequality from both mathematical and application points of view. In this paper, a Minkowski type inequality for fuzzy integrals is studied. The established results are based on the classical Minkowski inequality for integrals. Moreover, a generalized Minkowski type inequality for fuzzy integrals is sugges...

Sugeno integral is one of the basic aggregation operations on a qualitative scale where only minimum and maximum, as well as order-reversing maps are allowed. Recently some variants of this aggregation operation, named soft and drastic integrals, have been introduced in a previous work by three of the authors. In these operations, importance weights play the role of tolerance thresholds enablin...

The problem of delay-dependent condition for a new class of Takagi-Sugeno (T-S) fuzzy Lurie control systems with time-delay and time-variant uncertainties is investigated in this paper, which is different from existing ones. We use T-S fuzzy models to describe Lurie system in the form of a weighted sum of some simple linear subsystems, and a new delay-dependent absolute stability criterion for ...

Abs t r ac t Piecewise linear models systems arise os mathematical models of systems in many practical applications, often from linearization for nonlinear systems. There are two main approaches of dealing with these systems according to their continuous o r discrete-time aspects. We propose an approach which is based on the state transformation, more particularly the partition of the phose por...

This paper is concerned with the problem of guaranteed cost controller design control for discrete-time Takagi-Sugeno (T-S) fuzzy systems, and new design methods are presented. By defining a fuzzy Lyapunov function, a new sufficient condition guaranteeing the performance of the T-S fuzzy systems is derived, which can be transferred into problem of minimizing the trace of a matrix. By introducin...