ISSN: 1304-7191 | E-ISSN: 1304-7205
An abstract approach to sequences and series using soft complex numbers
1Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan
2Department of Mathematics, College of Education, University of Garmian, Kalar 46021, Iraq
3Department of Mathematics, College of Science, University of Sulaimani, Sulaymaniyah 46001, Iraq
Sigma J Eng Nat Sci 1759-1767 DOI: 10.14744/sigma.2025.00162
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Abstract

The idea of a soft set offers a consistent structure for combining multiple data types and supporting a range of sources and representations. Because of its adaptability, it can be used in a variety of industries where precise and ambiguous information supervision is crucial for reliable and productive evaluation. This article delves into the interplay between sequences and series within the domain of soft complex numbers. It establishes a thorough understanding of soft complex boundedness, offering precise definitions for soft complex convergent sequences, soft complex limits, and soft complex series. Our exploration lays the groundwork with a broad perspective, paving the way for a detailed examination of specific properties embedded in the Bolzano-Weierstrass theorems. Additionally, we unravel the intricacies of soft complex Cauchy sequences and scrutinize the soft complex limits associated with both convergent sequences and series. This comprehensive discussion sheds light on the nuanced aspects of these mathematical concepts, providing a deeper insight into their implications.