RETRACTED: Assessment of the Business Proposals Using Frank Aggregation Operators Based on Interval-Valued T-Spherical Fuzzy Information (Retracted Article)

被引:20
作者
Hussain, Amir [1 ]
Ullah, Kifayat [1 ]
Wang, Haolun [2 ,3 ]
Bari, Mehwish [4 ]
机构
[1] Riphah Int Univ Lahore, Riphah Inst Comp & Appl Sci, Dept Math, Lahore 54000, Pakistan
[2] Nanchang Univ, Sch Econ & Management, Nanchang 330031, Peoples R China
[3] Res Ctr Cent China Econ & Social Dev, Nanchang 330031, Peoples R China
[4] Riphah Int Coll Bahawalpur Campus, Bahawalpur, Pakistan
关键词
D O I
10.1155/2022/2880340
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An interval-valued T-spherical fuzzy set (IVTSFS) is an efficient framework to treat ambiguous and vague information more efficiently. It has four functions consisting of the information in intervals. With the help of these functions, IVTSFS is a more reliable framework than the other existing frameworks. This article aims to establish algebraic operations of IVTSFSs named Frank sum, Frank multiplication, and Frank scalar multiplication stranded on Frank t-norm and t-conorm. Further, some averaging and geometric aggregation operators (AOs), i.e., interval-valued T-spherical fuzzy Frank weighted averaging (IVTSFFWA) and interval-valued T-spherical fuzzy Frank weighted geometric (IVTSFFWG) operators are established based on the defined operations, and then the properties of these operators are observed. The proposed approach is supported by an illustrative example, in which we have applied our proposed approach to a multiattribute group decision-making (MAGDM) problem. For the significance of the proposed approach, a comparative study is done. The various effects of the variation of parameters are also investigated which plays an important role in the final results.
引用
收藏
页数:24
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