一种基于模糊时间的平稳离散过程辨识模型

IF 1.9 4区数学 Q1 MATHEMATICS

Iranian Journal of Fuzzy Systems Pub Date : 2021-10-11 DOI:10.22111/IJFS.2021.6374

G. Sirbiladze

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引用次数: 0

摘要

提出了一种新的模糊过程处理方法，该方法以专家知识对平稳离散极值模糊动态系统(SDEFDS)在极值模糊时间区间的状态反映为模糊过程的来源。给出了平稳离散极值模糊过程的模糊积分表示。提出了一种识别SDEFDS转移算子的方法和算法。通过对SDEFDS状态的专家知识反射来恢复SDEFDS转换算子。用定理表示了获得转移算子拟最优估计量的正则化条件。给出了相应的计算算法。最后通过一个有限SDEFDS状态集的算例说明了所得结果。

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(2010-6244) An identifi cation model for a fuzzy time based stationary discrete process

A new approach of fuzzy processes, the source of which are expert knowledge reflections on the states on Stationary Discrete Extremal Fuzzy Dynamic System (SDEFDS) in extremal fuzzy time intervals, are considered. A fuzzy-integral representation of a stationary discrete extremal fuzzy process is given. A method and an algorithm for identifying the transition operator of SDEFDS are developed. The SDEFDS transition operator is restored by means of expert knowledge reflections on the states of SDEFDS. The regularization condition for obtaining of the quasi-optimal estimatorof the transition operator is represented by the theorem. The corresponding calculating algorithm is provided. The results obtained are illustrated by an example in the case of a finite set of SDEFDS states.

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来源期刊

Iranian Journal of Fuzzy Systems 数学-数学

CiteScore

3.50

自引率

16.70%

发文量

期刊介绍： The two-monthly Iranian Journal of Fuzzy Systems (IJFS) aims to provide an international forum for refereed original research works in the theory and applications of fuzzy sets and systems in the areas of foundations, pure mathematics, artificial intelligence, control, robotics, data analysis, data mining, decision making, finance and management, information systems, operations research, pattern recognition and image processing, soft computing and uncertainty modeling. Manuscripts submitted to the IJFS must be original unpublished work and should not be in consideration for publication elsewhere.