Stochastic approximation procedures are generalized. The new algorithm is a combination of a stochastic approximation procedure and a deteministic iteration. The stochastic structure may be either a Robbins-Monroe pro...
详细信息
Stochastic approximation procedures are generalized. The new algorithm is a combination of a stochastic approximation procedure and a deteministic iteration. The stochastic structure may be either a Robbins-Monroe procedure or a Ljung's scheme. Analysis via stochastic Lyapunov functions is indicated. Application to a non-standard extended Kalman filtering problem is given.
We discuss numerical methods leading to a resolution of fuzzy relational equations which create a formal description of ill-defined systems. An applicability of the numerical approach is shown in solving some problems...
详细信息
We discuss numerical methods leading to a resolution of fuzzy relational equations which create a formal description of ill-defined systems. An applicability of the numerical approach is shown in solving some problems in fuzzy systems such as identification and control. An idea of fuzzy discretization (fuzzy chopping) as a meaningful tool for handling various problems is also investigated.
The paper deals with the notion of fuzzy systems described by means or fuzzy relational equations with triangular norms. Some fundamental pro Menu concerned with identification and control arc formulated and several a...
详细信息
The paper deals with the notion of fuzzy systems described by means or fuzzy relational equations with triangular norms. Some fundamental pro Menu concerned with identification and control arc formulated and several algorithms are provided. An applicability of a concept of fuzzy discretization in system analysis is pointed out. Numerical results obtained form an illustration of theoretical background considered.
The paper deals with some problems of decision making described and solved by the use of the concept of a probabilistic set. The distribution function description of probabilistic sets which is important from a theore...
详细信息
The paper deals with some problems of decision making described and solved by the use of the concept of a probabilistic set. The distribution function description of probabilistic sets which is important from a theoretical point of view is discussed, and its application in decision making is illustrated by means of numerical examples.
The paper deals with fuzzy relational equations with triangular norms and their application in modelling of decision-making processes. Generally speaking, in any decision-making problem we face with a set of constrain...
详细信息
The paper deals with fuzzy relational equations with triangular norms and their application in modelling of decision-making processes. Generally speaking, in any decision-making problem we face with a set of constraints and a set of goals with various grades of importance, very often conflicting in their nature. A final decision D which is made upon on available information can be formally written as a result of composition of constraints C i =1,2,.,n, and goals C j =1,2,.,m by means of a relation R expressing the relationship between goals,constraints and decisions. We shall propose a fuzzy relational equation as a model of the process of decision-making. Analytical and numerical methods of solving this class of equations are provided and discussed in detail.
Fuzzy relational equations have been extensively studied since 1976. There are a lot of theoretical and significant application *** side of development in this field is mainly concerned with solving equations with a w...
详细信息
Fuzzy relational equations have been extensively studied since 1976. There are a lot of theoretical and significant application *** side of development in this field is mainly concerned with solving equations with a wide class of composition operators and characterization of a set of solutions. From an aplicational point of view more and more fields of applications have been reported, as for instance:fuzzy system analysis, medical diagnosis, decision-making or pattern classification.
The optimal stochastic approximation procedure (OSAP) is applied to the parameter identification problem of distributed parameter system (DPS) driven by random disturbances and observed through noisy measurements. Thi...
详细信息
The optimal stochastic approximation procedure (OSAP) is applied to the parameter identification problem of distributed parameter system (DPS) driven by random disturbances and observed through noisy measurements. This procedure is a stochastic approximation procedure (SAP) with an optimal gain sequence and an optimal transformation on the gradient of the objective function: these optimal values accelerate the convergence rate by minimizing the mean squared parameter estimation error, under the assumption that the density functions of the system and observation noises are known, or can be easily estimated. An example of parameter identification of a stochastic parabolic DPS is simulated on the digital computer. A comparison is made among the results of the optimal, the modified, the nominal first-order, and the nominal second-order SAP. It is shown that the OSAP gives higher accuracy and faster rate of convergence as compared to the nominal SAP
The paper deals with the design problem of control algorithms in fuzzy systems described by means of fuzzy relational equations, which can be implemented in the framework of fuzzy controllers applied to control of ill...
The fuzzy set theory established by L. A. Zadeh has started anew period in formalizing a decision-making processes in ill-defined systems where a human being (operator) is an important element in the control loop. The...
The fuzzy set theory established by L. A. Zadeh has started anew period in formalizing a decision-making processes in ill-defined systems where a human being (operator) is an important element in the control loop. The control algorithm used here is based on a generalized fuzzy version of modus ponens (compositional rule of inference) where a set of decision-making rules forming a control algorithm is given. The aim of this paper is to present some problems which may appear in the initial stage off design of a decisionmaking algorithm and discuss a method of their formulation. We introduce notions like the completeness of algorithm, interactivity and the competitivity of control rules and consider indices illustrating the presented design aspects.
暂无评论