A soft sets review

In this review we consider the so-called soft sets. In fact, it is a generalization of L. Zadeh’s fuzzy sets, which form the mathematical apparatus of artificial intelligence. On the other hand, the rejection of the notion of infinitesimality originates the foundations of a new mathematical analysis. Subsequently, many papers on soft sets have appeared, conferences have been organized, and there are publications on applications in various fields. The paper gives the basic definitions and terms of soft sets theory, and references to its practical applications.

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Publication Details

Journal
Известия Российской академии наук Теория и системы управления
Published
2024-12-24
DOI
https://doi.org/10.31857/s0002338824040102
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

A soft sets review

V. Yu. Leonov, Е. К. Егорова, V. N. Bobylevа
Известия Российской академии наук Теория и системы управления
Fuzzy and Soft Set Theory
article

A soft sets review

V. Yu. Leonov, Е. К. Егорова, V. N. Bobylevа
article en

Abstract

In this review we consider the so-called soft sets. In fact, it is a generalization of L. Zadeh’s fuzzy sets, which form the mathematical apparatus of artificial intelligence. On the other hand, the rejection of the notion of infinitesimality originates the foundations of a new mathematical analysis. Subsequently, many papers on soft sets have appeared, conferences have been organized, and there are publications on applications in various fields. The paper gives the basic definitions and terms of soft sets theory, and references to its practical applications.

Известия Российской академии наук Теория и системы управления(4)
Russian Academy of Sciences (RU)
Openalex Percentile: Top 70%
Fuzzy and Soft Set Theory
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