A new product for soft sets with its decision-making: Soft star-product
Soft sets provide a robust mathematical framework for addressing uncertainty, offering innovative solutions for problems involving parametric data. Soft set operations are core concepts within soft set theory. In this paper, we introduce a novel soft product for soft sets, termed the soft star-produ...
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| Format: | Article |
| Language: | English |
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REA Press
2025-03-01
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| Series: | Big Data and Computing Visions |
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| Online Access: | https://www.bidacv.com/article_210940_e625da10f669c504ad523990c6078374.pdf |
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| author | Aslıhan Sezgin Eylül Şenyiğit |
| author_facet | Aslıhan Sezgin Eylül Şenyiğit |
| author_sort | Aslıhan Sezgin |
| collection | DOAJ |
| description | Soft sets provide a robust mathematical framework for addressing uncertainty, offering innovative solutions for problems involving parametric data. Soft set operations are core concepts within soft set theory. In this paper, we introduce a novel soft product for soft sets, termed the soft star-product, along with its complete algebraic properties concerning various types of soft equalities and subsets. By analyzing the distributions of the soft star product over different soft set operations, we also explore the relationships between this product and other soft set operations. The paper concludes with an example that illustrates the method's effectiveness in various applications, utilizing the int-uni operator and the int-uni decision function within the soft star-product for the int-uni decision-making method, which identifies an optimal set of elements from available alternatives. This work is a valuable contribution to the soft set literature, as the theoretical foundation of soft computing methods is based on rigorous mathematical principles. |
| format | Article |
| id | doaj-art-c1f593da39c744f2bfdcd4e252632068 |
| institution | Kabale University |
| issn | 2783-4956 2821-014X |
| language | English |
| publishDate | 2025-03-01 |
| publisher | REA Press |
| record_format | Article |
| series | Big Data and Computing Visions |
| spelling | doaj-art-c1f593da39c744f2bfdcd4e2526320682025-01-30T12:23:51ZengREA PressBig Data and Computing Visions2783-49562821-014X2025-03-0151527310.22105/bdcv.2024.492834.1221210940A new product for soft sets with its decision-making: Soft star-productAslıhan Sezgin0Eylül Şenyiğit1Department of Mathematics and Science Education, Faculty of Education, Amasya University, Amasya, Türkiye.Department of Mathematics, Graduate School of Natural and Applied Sciences, Amasya University, Amasya, Türkiye.Soft sets provide a robust mathematical framework for addressing uncertainty, offering innovative solutions for problems involving parametric data. Soft set operations are core concepts within soft set theory. In this paper, we introduce a novel soft product for soft sets, termed the soft star-product, along with its complete algebraic properties concerning various types of soft equalities and subsets. By analyzing the distributions of the soft star product over different soft set operations, we also explore the relationships between this product and other soft set operations. The paper concludes with an example that illustrates the method's effectiveness in various applications, utilizing the int-uni operator and the int-uni decision function within the soft star-product for the int-uni decision-making method, which identifies an optimal set of elements from available alternatives. This work is a valuable contribution to the soft set literature, as the theoretical foundation of soft computing methods is based on rigorous mathematical principles.https://www.bidacv.com/article_210940_e625da10f669c504ad523990c6078374.pdfsoft setsoft star-productsoft subsetsoft equal relationsdecision-making |
| spellingShingle | Aslıhan Sezgin Eylül Şenyiğit A new product for soft sets with its decision-making: Soft star-product Big Data and Computing Visions soft set soft star-product soft subset soft equal relations decision-making |
| title | A new product for soft sets with its decision-making: Soft star-product |
| title_full | A new product for soft sets with its decision-making: Soft star-product |
| title_fullStr | A new product for soft sets with its decision-making: Soft star-product |
| title_full_unstemmed | A new product for soft sets with its decision-making: Soft star-product |
| title_short | A new product for soft sets with its decision-making: Soft star-product |
| title_sort | new product for soft sets with its decision making soft star product |
| topic | soft set soft star-product soft subset soft equal relations decision-making |
| url | https://www.bidacv.com/article_210940_e625da10f669c504ad523990c6078374.pdf |
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