Soft intersection-difference product

Authors

  • Aslıhan Sezgin * Department of Mathematics and Science Education, Faculty of Education, Amasya University, Amasya, Türkiye. https://orcid.org/0000-0002-1519-7294
  • Zeynep Ay Department of Mathematics, Graduate School of Natural and Applied Sciences, Amasya University, Amasya, Türkiye.

https://doi.org/10.48313/uda.v2i1.55

Abstract

Soft set theory constitutes a comprehensive mathematical apparatus for modeling and managing uncertainty. Central to this theory are soft-set operations and product constructions, which facilitate novel methodologies for addressing problems characterized by parametric data. In the present study, we propose a new product structure for soft sets whose parameter sets possess a group structure, termed the soft intersection-difference product. A rigorous investigation of its fundamental algebraic properties is conducted, encompassing various soft subsets and notions of equality. The findings are anticipated to stimulate further scholarly inquiry, potentially laying the groundwork for a nascent soft group theory derived from this construction. Given that the development of soft algebraic structures fundamentally relies on well-defined soft set operations and products, the study offers a substantial contribution to the theoretical advancement of soft set theory.     

Keywords:

Soft sets, Soft subsets, Soft equalities, Soft intersection-difference product

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Published

2025-03-20

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Vol. 2 No. 1 (2025): Uncertainty Discourse and Applications

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Articles

How to Cite

Sezgin, A. ., & Ay, Z. . (2025). Soft intersection-difference product. Uncertainty Discourse and Applications, 2(1), 45-59. https://doi.org/10.48313/uda.v2i1.55

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