A Contribution to the Theory of Soft Sets via Generalized Relaxed Operations

Basit Ali, Naeem Saleem, Nozara Sundus, Sana Khaleeq, Muhammad Saeed and Reny George
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Basit Ali: Department of Mathematics, School of Science, University of Management and Technology, C-II, Johar Town, Lahore 54770, Pakistan
Naeem Saleem: Department of Mathematics, School of Science, University of Management and Technology, C-II, Johar Town, Lahore 54770, Pakistan
Nozara Sundus: Department of Mathematics, School of Science, University of Management and Technology, C-II, Johar Town, Lahore 54770, Pakistan
Sana Khaleeq: Department of Mathematics, School of Science, University of Management and Technology, C-II, Johar Town, Lahore 54770, Pakistan
Muhammad Saeed: Department of Mathematics, School of Science, University of Management and Technology, C-II, Johar Town, Lahore 54770, Pakistan
Reny George: Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

Mathematics, 2022, vol. 10, issue 15, 1-14

Abstract: Soft set theory has evolved to provide a set of valuable tools for dealing with ambiguity and uncertainty in a variety of data structures related to real-world challenges. A soft set is characterized via a multivalued function of a set of parameters with certain conditions. In this study, we relax some conditions on the set of parameters and generalize some basic concepts in soft set theory. Specifically, we introduce generalized finite relaxed soft equality and generalized finite relaxed soft unions and intersections. The new operations offer a great improvement in the theory of soft sets in the sense of proper generalization and applicability.

Keywords: soft set; gf r -soft subset; gf r -soft equality; gf r -soft union; gf r -soft intersection (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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