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An identification model for a fuzzy time based stationary discrete process | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 14، دوره 19، شماره 1، فروردین و اردیبهشت 2022، صفحه 171-188 اصل مقاله (251.31 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2022.6559 | ||
نویسنده | ||
G. Sirbiladze* | ||
Department of Computer Sciences, Ivane Javakhishvili Tbilisi State University, University St. 13, Tbilisi 0186, Georgia | ||
چکیده | ||
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 estimator of 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. | ||
کلیدواژهها | ||
Sugeno's type extremal fuzzy measures and integrals؛ extremal fuzzy time intervals؛ SDEFDS؛ identification of the SDEFDS integral model | ||
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