Mathematical Models for Performing Unified Arithmetic Operations with Fuzzy Numbers in the Formalization of Expert Knowledge
Authors
Alexander Vasilievich Spesivtsev
Federal State Budgetary Institution of Science “St. Petersburg Federal Research Center of the Russian Academy of Sciences”, St. Petersburg
Boris Vladimirovich Sokolov
Federal State Budgetary Institution of Science “St. Petersburg Federal Research Center of the Russian Academy of Sciences”, St. Petersburg
fuzzy numbers, extended and additional arithmetic operations, simulation modeling, accuracy, reliability, adequacy of the model, complex technical system
Abstract
The paper considers fuzzy representation and manipulation of explicit and implicit expert knowledge. It proposes to use fuzzy numbers that allow describing uncertainty factors. It also presents a new form of specifying symmetrized forms of representation of fuzzy numbers, as well as extended and additional arithmetic operations on them which preserve the original level of fuzzy knowledge of experts and simplify the process of their formalization in solving applied problems.
Author Biographies
Alexander Vasilievich Spesivtsev, Federal State Budgetary Institution of Science “St. Petersburg Federal Research Center of the Russian Academy of Sciences”, St. Petersburg
Dr. Sc. (Engineering), Associate Professor, Leading Researcher
Boris Vladimirovich Sokolov, Federal State Budgetary Institution of Science “St. Petersburg Federal Research Center of the Russian Academy of Sciences”, St. Petersburg
Dr. Sc. (Engineering), Professor, Chief Researcher
