Circular n,m-rung orthopair fuzzy sets and their applications in multicriteria decision-making

被引：0
作者：
Alshammari, Ibtesam [2 ]
Ibrahim, Hariwan Z. [1 ]
机构：
[1] Univ Zakho, Coll Educ, Dept Math, Zakho 42002, Kurdistan, Iraq
[2] Univ Hafr Al Batin, Coll Sci, Dept Math, Hafar Al Batin, Saudi Arabia
来源：
DEMONSTRATIO MATHEMATICA | 2025年 / 58卷 / 01期
关键词：
<italic>n; m</italic>-ROFS; circular; aggregation operators; multicriteria decision-making; OPERATORS;
D O I：
10.1515/dema-2024-0095
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The circular Pythagorean fuzzy set is an expansion of the circular intuitionistic fuzzy set (CIFS), in which each component is represented by a circle. Nevertheless, even though CIFS improves the intuitionistic fuzzy set representation, it is still restricted to the inflexible intuitionistic fuzzy interpretation triangle (IFIT) space, where the square sum of membership and nonmembership in a circular Pythagorean fuzzy environment and the sum of membership and nonmembership in a circular intuitionistic fuzzy environment cannot exceed one. To overcome this restriction, we provide a fresh extension of the CIFS called the circular n,m-rung orthopair fuzzy set (Cn,m-ROFS), which allows the IFIT region to be expanded or contracted while maintaining the features of CIFS. Consequently, decision makers can assess items over a wider and more flexible range when using a Cn,m-ROFS, allowing for the making of more delicate decisions. In addition, we define several basic algebraic and arithmetic operations on Cn,m-ROFS, such as intersection, union, multiplication, addition, and scalar multiplication, and we discuss their key characteristics together with some of the known relations over Cn,m-ROFS. In addition, we present and study the new circular n,m-rung orthopair fuzzy weighted average/geometric aggregation operators and their properties. Further, a strategy for resolving multicriteria decision-making problems in a Cn,m-ROF environment is provided. The suggested strategy is tested on two situations: the best teacher selection problem and the best school selection problem. To confirm and illustrate the efficacy of the suggested methodology, a comparative analysis with the intuitionistic fuzzy weighted average, intuitionistic fuzzy weighted geometric, q-rung orthopair fuzzy weighted averaging, q-rung orthopair fuzzy geometric averaging, circular PFWA max {{\rm{PFWA}}}_{{\rm{\max }}} , and circular PFWA min {{\rm{PFWA}}}_{{\rm{\min }}} operators approaches is also carried out. Ultimately, in the final section, there are discussions and ideas for future research.
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页数：36
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