Affiliation:
1. Faculty of Engineering, University of Kragujevac, Kragujevac, Serbia
2. Faculty of Science, University of Kragujevac, Kragujevac, Serbia
Abstract
Molodtsov defined the concept of a soft set, which is widely used in
inference in case of vague, incomplete and imprecise information. The soft
set theory became of interest to many researchers who defined new concepts
such as soft measure, soft ?-algebra, soft premeasure, soft semiring, etc.
In this paper, it is shown that starting from a soft premeasure defined on a
soft semiring, we obtain a unique soft measure defined on a soft ?-algebra
generated by a soft semiring. The terms soft ?-stable, soft monotone class
and soft Dynkin system were introduced as a necessary tool for realization.
Publisher
National Library of Serbia
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