Einstein Aggregation Operators under Bipolar Neutrosophic Environment with Applications in Multi-Criteria Decision-Making

被引:5
|
作者
Jamil, Muhammad [1 ]
Afzal, Farkhanda [1 ]
Akgul, Ali [2 ,3 ]
Abdullah, Saleem [4 ]
Maqbool, Ayesha [1 ]
Razzaque, Abdul [1 ]
Riaz, Muhammad Bilal [5 ]
Awrejcewicz, Jan [6 ]
机构
[1] Natl Univ Sci & Technol, Mil Coll Signal, Islamabad 44000, Pakistan
[2] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkey
[3] Near East Univ, Math Res Ctr, Dept Math, Near East Blvd,Mersin 10, TR-99138 Nicosia, Turkey
[4] Abdul Wali Khan Univ, Dept Math, Mardan 23200, Pakistan
[5] Lodz Univ Technol, Fac Tech Phys Informat Technol & Appl Math, PL-90924 Lodz, Poland
[6] Lodz Univ Technol, Fac Mech Engn, PL-90924 Lodz, Poland
来源
APPLIED SCIENCES-BASEL | 2022年 / 12卷 / 19期
关键词
aggregation operator; decision-making; BNEWA; BNEOWA; BNEHA; BNEWG; BNEOWG; BNEHG;
D O I
10.3390/app121910045
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
In this article, we introduce bipolar neutrosophic (BN) aggregation operators (AOs) as a revolutionary notion in aggregation operators (AOs) by applying Einstein operations to bipolar neutrosophic aggregation operators (AOs), with its application related to a real-life problem. The neutrosophic set is able to drawout the incomplete, inconsistent and indeterminate information pretty efficiently. Initially, we present essential definitions along with operations correlated to the neutrosophic set (NS) and its generalization, the bipolar neutrosophic set (BNS). The Einstein aggregation operators are our primary targets, such asthe BN Einstein weighted average (BNEWA), BN Einstein ordered weighted average (BNEOWA), BN Einstein hybrid average (BNEHA), BN Einstein weighted geometric (BNEWG), BN Einstein ordered weighted geometric (BNEOWG) and BN Einstein hybrid geometric (BNEHG), as well as their required properties. The most important benefit of using the suggested approaches is that they provide decision-makers with complete sight of the issue. These techniques, when compared to other methods, provide complete, progressive and precise findings. Lastly, by means of diverse types of newly introduced aggregation operators and a numerical illustration by an example, we suggest an innovative method to be used for multi-criteria community decision-making (DM). This illustrates the utility and applicability of this new strategy when facing real-world problems.
引用
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页数:19
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