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

被引：3
|
作者：
Ali, Basit [1 ]
Saleem, Naeem [1 ]
Sundus, Nozara [1 ,2 ]
Khaleeq, Sana [1 ]
Saeed, Muhammad [1 ]
George, Reny [3 ]
机构：
[1] Univ Management & Technol, Sch Sci, Dept Math, C-2,Johar Town, Lahore 54770, Pakistan
[2] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore 54600, Pakistan
[3] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Al Kharj, Dept Math, Al Kharj 11942, Saudi Arabia
来源：
MATHEMATICS | 2022年 / 10卷 / 15期
关键词：
soft set; gf(r)-soft subset; gf(r)-soft equality; gf(r)-soft union; gf(r)-soft intersection; EQUALITY;
D O I：
10.3390/math10152636
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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收藏
页数：14
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