SOME ALGEBRAIC STRUCTURE OF SPHERICAL NEUTROSOPHIC MATRICES

被引:0
作者
Silambarasan, I. [1 ]
机构
[1] Sri Manakula Vinayagar Engn Coll, Dept Math, Madagadipet 605107, Puducherry, India
来源
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2023年 / 13卷 / 03期
关键词
Intuitionistic fuzzy matrix; Pythagorean fuzzy matrix; Picture fuzzy ma; trix; Spherical fuzzy matrix; Spherical Neutrosophic Matrix; Algebraic sum; Algebraic; product; Scalar multiplication; Exponentiation operations; FUZZY; OPERATIONS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
. In this paper, we introduce spherical neutrosophic matrices (SNMs) as generalization of intuitionistic fuzzy matrices, Pythagorean fuzzy matrices, picture fuzzy matrices and spherical fuzzy matrices. Some algebraic operations such as max-min, min-max, complement, algebraic sum and algebraic product are defined in SNMs and investigated. Further, scalar multiplication (nA) and exponentiation (An) operations of a spherical neutrosophic matrix A using algebraic operations are constructed, and their desirable properties are proved. Finally, define a new operation(@) on spherical neutrosophic matrices and discuss distributive law in the case where the operations of & OPLUS;, & OTIMES;, & BOTTOM; and & PROVES; are combined each other.
引用
收藏
页码:1177 / 1189
页数:13
相关论文
共 20 条
  • [1] Dhar M., 2014, Neutrosophic Sets and Systems, V3, P37
  • [2] Picture fuzzy matrix and its application
    Dogra, Shovan
    Pal, Madhumangal
    [J]. SOFT COMPUTING, 2020, 24 (13) : 9413 - 9428
  • [3] Emam E. G., 2016, Journal of the Egyptian Mathematical Society, V24, P515, DOI [10.1016/j.joems.2016.04.005, DOI 10.1016/J.JOEMS.2016.04.005]
  • [4] Im Y.B., 2001, FAR E J MATH SCI, V3, P789
  • [5] Kandasamy WV, 2004, fuzzy relational maps and neutrosophic relational maps
  • [6] Khan S.K., 2006, Acta Ciencia Indica, V32, P515
  • [7] Similarity Relations, Invertibility and Eigenvalues of Intuitoinistic Fuzzy Matrix
    Mondal, Sanjib
    Pal, Madhumangal
    [J]. FUZZY INFORMATION AND ENGINEERING, 2013, 5 (04) : 431 - 443
  • [8] Some Properties of Operations Conjunction, Disjunction and Implication from Lukasiewicz's Type Over Intuitionistic Fuzzy Matrices
    Muthuraji, T.
    [J]. RECENT TRENDS IN PURE AND APPLIED MATHEMATICS, 2019, 2177
  • [9] Decomposition of Intuitionistic Fuzzy Matrices
    Muthuraji, T.
    Sriram, S.
    Murugadas, P.
    [J]. FUZZY INFORMATION AND ENGINEERING, 2016, 8 (03) : 345 - 354
  • [10] Muthuraji T., 2015, INT J PURE ENGG MATH, V3, P61