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For this reason, a large part of this paper is devoted to the vague product of a finite number of elements in vague semigroups and their elementary properties.
From a more abstract mathematical point of view, the vague product (sum) of a finite number of real numbers in vague arithmetic and their properties can be considered as the vague product of a finite number of elements in vague semigroups and their relevant properties.
The main motivating problem of this paper is to introduce the notion of vague product (sum) of a finite number of real numbers in vague arithmetic, and to point out their fundamental properties.
As a direct implementation of the present results, it is shown that the vague product (sum) of a finite number of real numbers in vague arithmetic can be easily evaluated in terms of the underlying many-valued equivalence relations.
Furthermore, various non-trivial examples for the vague product (sum) of a finite number of real numbers in vague arithmetic are designed, and a simple technique for the construction of such non-trivial examples is stated.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com