A study on some operations and products of neutrosophic hypersoft graphs

被引：0
作者：
Muhammad Saeed
Atiqe Ur Rahman
Muhammad Arshad
机构：
[1] University of Management and Technology,Department of Mathematics
来源：
Journal of Applied Mathematics and Computing | 2022年 / 68卷
关键词：
Neutrosophic set; Hypersoft set; Neutrosophic soft set; Neutrosophic soft graph; Neutrosophic hypersoft set; Neutrosophic hypersoft graph; 05C72; 05C90; 90B50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Neutrosophic hypersoft set is the combination of neutrosophic set and hypersoft set. It resolves the limitations of intuitionistic fuzzy sets and soft sets for the consideration of the degree of indeterminacy and multi-argument approximate function respectively. In this research article, a novel framework is formulated for handling neutrosophic hypersoft information by combining the theory of neutrosophic hypersoft sets with graphs. Firstly, different types of notions, including neutrosophic hypersoft graphs, strong neutrosophic hypersoft graphs, complete neutrosophic hypersoft graphs, are characterized with the help of numerical examples and graphical representation. Secondly, some products (i.e. Cartesian product, cross product, lexicographic product, strong product) and composition of neutrosophic hypersoft graphs are discussed by employing various methods of their construction. Moreover, some of their related properties are also investigated. Lastly, an application of neutrosophic hypersoft graph is presented to decision making with the help of proposed algorithm.
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页码：2187 / 2214
页数：27
相关论文
共 96 条
  • [1] Abbas F(2020)Basic operations on hypersoft sets and hypersoft points Neutrosophic Sets Syst. 35 407-421
  • [2] Murtaza G(2017)Neutrosophic soft graphs with application J. Intell. Fuzzy Syst. 32 841-858
  • [3] Smarandache F(2018)Some neutrosophic probability distributions Neutrosophic Sets Syst. 22 30-38
  • [4] Akram M(2009)On some new operations in soft set theory Comput. Math. Appl. 57 1547-1553
  • [5] Shahzadi S(1986)Intuitionistic fuzzy sets Fuzzy Sets Syst. 20 87-96
  • [6] Alhabib R(2010)Soft set relations and functions Comput. Math. Appl. 60 1840-1849
  • [7] Ranna MM(2011)Transitive closure and ordering in soft set Comput. Math. Appl. 61 2235-2239
  • [8] Farah H(2016)Interval valued neutrosophic soft graphs New Trends Neutrosophic Theory Appl. 8 130-140
  • [9] Salama AA(2013)Intuitionistic neutrosophic soft set J. Inf. Comput. Sci. 3 17-30
  • [10] Ali MI(2013)Generalized neutrosophic soft set Int. J. Comput. Sci. Eng. Inf. Technol. 5 1-20
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