The Banach contraction principle appeared in explicit form in Banach’s thesis [5] in 1922 where it was used to establish the existence of a solution for an integral equation. Since then, it has become a very popular tool in solving existence problems in many branches of mathematics. Extensions of this principle were obtained either by generalizing the domain of mappings or by extending the cont...

The paper relates a principle for designing the fuzzy fault detection filters devoted to a class of continuous-time nonlinear systems represented by TakagiSugeno models. The extension of the fuzzy reference model principle and the incremental quadratic constraints are proposed to obtain an approximation of H∞/H_ criterion in the residual weight matrix parameter design for TS fuzzy fault detecti...

In this article classification method is proposed where data is first preprocessed using fuzzy robust principle component analysis (FRPCA) algorithms to get data into more feasible form. After this we use similarity classifier for the classification. We tested this procedure for breast cancer data and liver-disorder data. Results were quite promising and better classification accuracy was achie...

With the increasing environmental awareness, apparel manufacturers have begun to consider environmental issues in supplier evaluation and selection. It is crucial to assess suppliers based on their environmental performance along with other criteria for supplier selection. This paper addresses the green supplier evaluation and selection problem in global apparel manufacturing by developing a me...

The 3 degree of freedom (3-DOF) helicopter system is a typical higher-order times, instability, multi-variable, nonlinear and strong coupling control system. This paper presents the analysis of the mathematical model and the basic principle of PID control and fuzzy PID control, which are based on 3-DOF helicopter systems. In allusion to balance control of 3-DOF helicopter system, PID controller...

In this paper, a model of an optimal control problem with chance constraints is introduced. The parametersof the constraints are fuzzy, random or fuzzy random variables. Todefuzzify the constraints, we consider possibility levels.  Bychance-constrained programming the chance constraints are converted to crisp constraints which are neither fuzzy nor stochastic and then the resulting classical op...

Fuzzy Predicate Logic with Evaluated Syntax (FPL) (Novák, V.) is a well-studied and wide-used logic capable of expressing vagueness. It has a lot of applications based on robust theoretical background. It also requires an efficient formal proof theory. However the most widely applied resolution principle (Dukić, N.) brings syntactically several obstacles mainly arising from normal form transfor...

Uncertainty principle is one of the important bases of the quantum theory. Major concept of this principle is very difficult to understand specially with classical view. In this paper, a new approach to this drawback, using additive fuzzy system theory, is presented. The theory is very suitable to estimation of system behavior which is uncertain inherently. The proposed approach will be explain...