Mathematical Models for Performing Unified Arithmetic Operations with Fuzzy Numbers in the Formalization of Expert Knowledge

Alexander Vasilievich Spesivtsev, Boris Vladimirovich Sokolov

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.

Keywords


fuzzy numbers; extended and additional arithmetic operations; simulation modeling; accuracy; reliability; adequacy of the model; complex technical system



DOI: http://dx.doi.org/10.14529/mmph240409

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