Interval Valued T-Spherical Fuzzy Information Aggregation Based on Dombi t-Norm and Dombi t-Conorm for Multi-Attribute Decision Making Problems

被引:44
作者
Ullah, Kifayat [1 ,2 ]
Garg, Harish [3 ]
Gul, Zunaira [1 ]
Mahmood, Tahir [4 ]
Khan, Qaisar [5 ]
Ali, Zeeshan [4 ]
机构
[1] Riphah Int Univ Lahore, Riphah Inst Comp & Appl Sci, Dept Math, Lahore 54000, Pakistan
[2] Ghent Univ Belgium, Dept Data Anal & Math Modelling, B-9000 Ghent, Belgium
[3] Deemed Univ, Sch Math, Thapar Inst Engn & Technol, Patiala 147004, Punjab, India
[4] Int Islamic Univ Islamabad, Dept Math, Islamabad 44000, Pakistan
[5] Univ Haripur, Dept Math, Haripur 22620, Pakistan
来源
SYMMETRY-BASEL | 2021年 / 13卷 / 06期
关键词
Dombi operations; T-spherical fuzzy set; interval-valued T-spherical fuzzy set; Dombi aggregation operators; multi-attribute decision making; OPERATORS; MADM;
D O I
10.3390/sym13061053
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Multi-attribute decision-making (MADM) is commonly used to investigate fuzzy information effectively. However, selecting the best alternative information is not always symmetric because the alternatives do not have complete information, so asymmetric information is often involved. Expressing the information under uncertainty using closed subintervals of [0, 1] is beneficial and effective instead of using crisp numbers from [0, 1]. The goal of this paper is to enhance the notion of Dombi aggregation operators (DAOs) by introducing the DAOs in the interval-valued T-spherical fuzzy (IVTSF) environment where the uncertain and ambiguous information is described with the help of membership grade (MG), abstinence grade (AG), non-membership grade (NMG), and refusal grade (RG) using closed sub-intervals of [0, 1]. One of the key benefits of the proposed work is that in the environment of information loss is reduced to a negligible limit. We proposed concepts of IVTSF Dombi weighted averaging (IVTSFDWA) and IVTSF Dombi weighted geometric (IVTSFDWG) operators. The diversity of the IVTSF DAOs is proved and the influences of the parameters, associated with DAOs, on the ranking results are observed in a MADM problem where it is discussed how a decision can be made when there is asymmetric information about alternatives.
引用
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页数:26
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