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of the Business Proposals Using Frank Aggregation Operators Based on Interval-Valued T-Spherical Fuzzy Information (Retracted Article)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
相关论文
共 47 条
[11]   T-spherical fuzzy soft sets and its aggregation operators with application in decision-making [J].
Guleria, A. ;
Bajaj, R. K. .
SCIENTIA IRANICA, 2021, 28 (02) :1014-1029
[12]   Multiple-attribute decision making problems based on SVTNH methods [J].
Jana, Chiranjibe ;
Muhiuddin, G. ;
Pal, Madhumangal .
JOURNAL OF AMBIENT INTELLIGENCE AND HUMANIZED COMPUTING, 2020, 11 (09) :3717-3733
[13]   Some Dombi aggregation of Q-rung orthopair fuzzy numbers in multiple-attribute decision making [J].
Jana, Chiranjibe ;
Muhiuddin, G. ;
Pal, Madhumangal .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2019, 34 (12) :3220-3240
[14]   Bipolar fuzzy Dombi aggregation operators and its application in multiple-attribute decision-making process [J].
Jana, Chiranjibe ;
Pal, Madhumangal ;
Wang, Jian-qiang .
JOURNAL OF AMBIENT INTELLIGENCE AND HUMANIZED COMPUTING, 2019, 10 (09) :3533-3549
[15]   Intuitionistic fuzzy evidential power aggregation operator and its application in multiple criteria decision-making [J].
Jiang, Wen ;
Wei, Boya .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2018, 49 (03) :582-594
[16]   Approach to Multi-Attribute Decision-Making Methods for Performance Evaluation Process Using Interval-Valued T-Spherical Fuzzy Hamacher Aggregation Information [J].
Jin, Yun ;
Kousar, Zareena ;
Ullah, Kifayat ;
Mahmood, Tahir ;
Pehlivan, Nimet Yapici ;
Ali, Zeeshan .
AXIOMS, 2021, 10 (03)
[17]   Complex T-spherical fuzzy Dombi aggregation operators and their applications in multiple-criteria decision-making [J].
Karaaslan, Faruk ;
Dawood, Mohammed Allaw Dawood .
COMPLEX & INTELLIGENT SYSTEMS, 2021, 7 (05) :2711-2734
[18]   An approach toward decision-making and medical diagnosis problems using the concept of spherical fuzzy sets [J].
Mahmood, Tahir ;
Ullah, Kifayat ;
Khan, Qaisar ;
Jan, Naeem .
NEURAL COMPUTING & APPLICATIONS, 2019, 31 (11) :7041-7053
[19]   Complex T-Spherical Fuzzy Relations With Their Applications in Economic Relationships and International Trades [J].
Nasir, Abdul ;
Jan, Naeem ;
Yang, Miin-Shen ;
Khan, Sami Ullah .
IEEE ACCESS, 2021, 9 :66115-66131
[20]   Fundamental Properties of Interval-Valued Pythagorean Fuzzy Aggregation Operators [J].
Peng, Xindong ;
Yang, Yong .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2016, 31 (05) :444-487