Soft difference-product: A new product for soft sets with its decision-making
A thorough mathematical foundation for handling uncertainty is provided by the concept of soft sets. Soft set operations are key concepts in soft set theory since they offer novel approaches to problems requiring parametric data. The “soft difference-product” a new product operation for soft sets, i...
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| Format: | Article |
| Language: | English |
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Amasya University
2024-12-01
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| Series: | Journal of Amasya University the Institute of Sciences and Technology |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/4384331 |
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| _version_ | 1849701008770334720 |
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| author | Nazlı Helin Çam Aslıhan Sezgin |
| author_facet | Nazlı Helin Çam Aslıhan Sezgin |
| author_sort | Nazlı Helin Çam |
| collection | DOAJ |
| description | A thorough mathematical foundation for handling uncertainty is provided by the concept of soft sets. Soft set operations are key concepts in soft set theory since they offer novel approaches to problems requiring parametric data. The “soft difference-product” a new product operation for soft sets, is proposed in this study along with all of its algebraic properties concerning different types of soft equalities and subsets. Additionally, we explore the connections between this product and other soft set operations by investigating the distributions of soft difference-product over other soft set operations. Using the uni-int operator and the uni-int decision function for the soft-difference product, we apply the uni-int decision-making method, which selects a set of optimal elements from the alternatives by giving an example that shows how the approach may be conducted effectively in various areas. Since the theoretical underpinnings of soft computing techniques are drawn from purely mathematical concepts, this study is crucial to the literature on soft sets. |
| format | Article |
| id | doaj-art-5bf2fec17ec94a29ae9f20078f79491f |
| institution | DOAJ |
| issn | 2717-8900 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Amasya University |
| record_format | Article |
| series | Journal of Amasya University the Institute of Sciences and Technology |
| spelling | doaj-art-5bf2fec17ec94a29ae9f20078f79491f2025-08-20T03:18:05ZengAmasya UniversityJournal of Amasya University the Institute of Sciences and Technology2717-89002024-12-015211413710.54559/jauist.158924236Soft difference-product: A new product for soft sets with its decision-makingNazlı Helin Çam0https://orcid.org/0009-0006-5258-1072Aslıhan Sezgin1https://orcid.org/0000-0002-1519-7294AMASYA UNIVERSITY, INSTITUTE OF SCIENCEAmasya UniversityA thorough mathematical foundation for handling uncertainty is provided by the concept of soft sets. Soft set operations are key concepts in soft set theory since they offer novel approaches to problems requiring parametric data. The “soft difference-product” a new product operation for soft sets, is proposed in this study along with all of its algebraic properties concerning different types of soft equalities and subsets. Additionally, we explore the connections between this product and other soft set operations by investigating the distributions of soft difference-product over other soft set operations. Using the uni-int operator and the uni-int decision function for the soft-difference product, we apply the uni-int decision-making method, which selects a set of optimal elements from the alternatives by giving an example that shows how the approach may be conducted effectively in various areas. Since the theoretical underpinnings of soft computing techniques are drawn from purely mathematical concepts, this study is crucial to the literature on soft sets.https://dergipark.org.tr/en/download/article-file/4384331soft setsoft difference-productsoft subsetsoft equal relations |
| spellingShingle | Nazlı Helin Çam Aslıhan Sezgin Soft difference-product: A new product for soft sets with its decision-making Journal of Amasya University the Institute of Sciences and Technology soft set soft difference-product soft subset soft equal relations |
| title | Soft difference-product: A new product for soft sets with its decision-making |
| title_full | Soft difference-product: A new product for soft sets with its decision-making |
| title_fullStr | Soft difference-product: A new product for soft sets with its decision-making |
| title_full_unstemmed | Soft difference-product: A new product for soft sets with its decision-making |
| title_short | Soft difference-product: A new product for soft sets with its decision-making |
| title_sort | soft difference product a new product for soft sets with its decision making |
| topic | soft set soft difference-product soft subset soft equal relations |
| url | https://dergipark.org.tr/en/download/article-file/4384331 |
| work_keys_str_mv | AT nazlıhelincam softdifferenceproductanewproductforsoftsetswithitsdecisionmaking AT aslıhansezgin softdifferenceproductanewproductforsoftsetswithitsdecisionmaking |