Open AccessMeans, quasi-scalar product and covariance of fuzzy numbers
Author(s) -
В. Л. Хацкевич
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1902/1/012136
Subject(s) - fuzzy number , mathematics , covariance , fuzzy logic , scalar (mathematics) , product (mathematics) , fuzzy measure theory , mathematical optimization , fuzzy mathematics , fuzzy set , computer science , statistics , artificial intelligence , geometry
In this paper, we discuss extreme properties of means of fuzzy numbers. The proposed new definition quasi-scalar product and covariance between fuzzy numbers, and their properties are considered. As an application of the introduced concepts, the problem of optimal linear approximation of a fuzzy number by a given system of fuzzy numbers is considered.