Neutrosophic Soft Structures

Authors

  • Arif Mehmood RiphahInternational University, Sector I-14, Islamabad, Pakistan
  • Wadood Ullah University of Science and Technology, Bannu, Khyber Pakhtunkhwa, Pakistan.
  • Said Broumi University Hassan II, Casablanca, Morocco
  • Muhammad Imran Khan Punjab University, Pakistan
  • Humera Qureshi Punjab University, Pakistan
  • Muhammad Ibrar Abbas University of Science and Technology, Bannu, Khyber Pakhtunkhwa, Pakistan.
  • HumairaKalsoom Zhejiang University, Hangzhou 310027, China.
  • Fawad Nadeem University of Science and Technology, Bannu, Khyber Pakhtunkhwa, Pakistan

Keywords:

Neutrosophic soft set (𝑁𝑆𝑆), neutrosophic soft point, neutrosophic soft b-open set, neutrosophic 𝑏-separation axioms

Abstract

In paper, neutrosophicsoft points withthe concept of onepoint greater than the other and their properties, generalized neutrosophic soft open set known assoft b-open set, neutrosophic soft separation axioms theoretically with support of suitable examples with respect to soft points, neutrosophic soft ð‘0-space engagement with generalized neutrosophic soft closed set, neutrosophic soft ð‘2-space engagement with generalized neutrosophic soft open set are addressed. In continuation, neutrosophic soft ð‘0-space behave as neutrosophic soft ð‘2-space with the plantation of some extra condition on soft ð‘0-space, neutrosophic soft ð‘3-space and related theorems, neutrosophic soft ð‘4-space, monotonous behavior of neutrosophic soft function with connection of different neutrosophic soft separation axioms, monotonous behavior of neutrosophic soft function with connection of different neutrosophic soft close sets are reflected. Secondly, long touched has been given to neutrosophic soft countability connection with bases and sub-bases, neutrosophic soft product spaces and its engagementthrough different generalized neutrosophic soft open set and close sets, neutrosophic soft coordinate spaces and its engagement through different generalized neutrosophic soft open set and close sets, Finally, neutrosophic soft countability and its relationship with Bolzano Weirstrass Property through engagement of compactness, neutrosophic soft strongly spaces and its related theorems, neutrosophic soft sequences and its relation with neutrosophic soft compactness, neutrosophic soft Lindelof space and related theorems are supposed to address

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Published

2020-05-02

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Mehmood, A. ., Ullah, W. ., Broumi, S. ., Imran Khan, M. ., Qureshi, H. ., Ibrar Abbas, M. ., HumairaKalsoom, & Nadeem, F. . (2020). Neutrosophic Soft Structures. Neutrosophic Sets and Systems, 33, 23-58. https://fs.unm.edu/nss8/index.php/111/article/view/180

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