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Fuzzy Mathematics with Limited Possibilities for Assigning Membership Functions

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Problem solving under uncertainty in the form of fuzzy mathematics based on methods and models of fuzzy set theory with limited possibilities for determining (assigning) membership functions is considered. A… Click to show full abstract

Problem solving under uncertainty in the form of fuzzy mathematics based on methods and models of fuzzy set theory with limited possibilities for determining (assigning) membership functions is considered. A method for solving problems of this type is proposed. The method is to determine hidden knowledge in the form of subsets of ordered pairs calculated using a singular value decomposition of special (Toeplitz, Hankel, etc.) matrices formed based on the universal set. Examples that illustrate the effectiveness of the proposed method are given.

Keywords: mathematics; membership functions; limited possibilities; assigning membership; fuzzy mathematics

Journal Title: Cybernetics and Systems Analysis
Year Published: 2020

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