Complementary Extended Plus Operation of Soft Sets

Aslıhan Sezgin; Ahmet Mücahit Demirci; Murat Luzum

doi:10.62270/jirmcs.v3i2.36

Complementary Extended Plus Operation of Soft Sets

Authors

Aslıhan Sezgin Department of Mathematics and Science Education, Faculty of Education, Amasya University, Amasya, Türkiye. https://orcid.org/0000-0002-1519-7294
Ahmet Mücahit Demirci Department of Mathematics, Graduate School of Natural and Applied Sciences, Amasya University, Amasya, Türkiye. https://orcid.org/0009-0003-2275-3820
Murat Luzum Department of Mathematics, Faculty of Arts and Science, Van Yüzüncü Yıl University, Van, Türkiye. https://orcid.org/0000-0001-6256-0597

DOI:

https://doi.org/10.62270/jirmcs.v3i2.36

Keywords:

soft set, soft set operations, conditional complements, complementary extended plus operation

Abstract

Soft set theory, introduced by Molodtsov in 1999, offers a versatile framework for handling uncertainty in data analysis and decision-making processes. Unlike traditional set theory, soft sets allow elements to be parametrized, providing a more nuanced representation of uncertainty. In this context, a new kind of soft set operation called complementary extended plus soft set operation, is defined in this paper to contribute to the theory. The properties of the operation are examined in detail, along with its distributions over other soft set operations, to establish the relationship between the complementary extended plus operation and other operations.

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Published

2024-12-30

Issue

Vol. 3 No. 2 (2024): July-December

Section

Articles

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution (CC-BY) 4.0 License that allows others to share the work with an acknowledgment of the work’s authorship and initial publication in this journal.

How to Cite

[1]

Aslıhan Sezgin, Ahmet Mücahit Demirci, and Murat Luzum, “Complementary Extended Plus Operation of Soft Sets”, jirmcs, vol. 3, no. 2, pp. 17–43, Dec. 2024, doi: 10.62270/jirmcs.v3i2.36.