Neutrosophic Cubic Einstein Geometric Aggregation Operators with Application to Multi-Criteria Decision Making Method

被引:12
|
作者
Khan, Majid [1 ]
Gulistan, Muhammad [1 ]
Yagoob, Naveed [2 ]
Khan, Madad [3 ]
Smarandache, Florentin [4 ]
机构
[1] Hazara Univ, Dept Math & Stat, Mansehra 21130, Pakistan
[2] Majmaah Univ, Coll Sci Al Zulfi, Dept Math, Al Zulfi 11932, Saudi Arabia
[3] COMSATS Univ Iaslamabad, Dept Math, Abbottabad Campus, Abbottabad 22060, Pakistan
[4] Univ New Mexico, Dept Math, Albuquerque, NM 87301 USA
来源
SYMMETRY-BASEL | 2019年 / 11卷 / 02期
关键词
neutrosophic cubic weighted geometric operator (NCWG); neutrosophic cubic ordered weighted geometric operator (NCOWG); neutrosophic cubic Einstein weighted geometric operator (NCEWG); neutrosophic cubic Einstein ordered weighted geometric operator (NCEOWG);
D O I
10.3390/sym11020247
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
Neutrosophic cubic sets (NCs) are amore generalized version of neutrosophic sets(Ns) and interval neutrosophic sets (INs). Neutrosophic cubic setsare better placed to express consistent, indeterminate and inconsistent information, which provides a better platform to deal with incomplete, inconsistent and vague data. Aggregation operators play a key role in daily life, and in relation to science and engineering problems. In this paper we defined the algebraic and Einstein sum, multiplication and scalar multiplication, score and accuracy functions. Using these operations we defined geometric aggregation operators and Einstein geometric aggregation operators. First, we defined the algebraic and Einstein operators of addition, multiplication and scalar multiplication. We defined score and accuracy function to compare neutrosophic cubic values. Then we definedthe neutrosophic cubic weighted geometric operator (NCWG), neutrosophic cubic ordered weighted geometric operator (NCOWG), neutrosophic cubic Einstein weighted geometric operator (NCEWG), and neutrosophic cubic Einstein ordered weighted geometric operator (NCEOWG) over neutrosophic cubic sets. A multi-criteria decision making method is developed as an application to these operators. This method is then applied to a daily life problem.
引用
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页数:24
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