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Introduction to neutrosophic soft topological space

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Abstract

The primary aim of this paper is to construct a topology on a neutrosophic soft set (NSS). The notion of neutrosophic soft interior, neutrosophic soft closure, neutrosophic soft neighbourhood, neutrosophic soft boundary, regular NSS are introduced and some of their basic properties are studied in this paper. Then the base for neutrosophic soft topology and subspace topology on NSS have been defined with suitable examples. Some related properties have been developed, too. Moreover, the concept of separation axioms on neutrosophic soft topological space have been introduced along with investigation of several structural characteristics.

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Authors and Affiliations

  1. Department of Mathematics, Boror Siksha Satra High School, Bagnan, Howrah, WB, 711312, India

    Tuhin Bera

  2. Department of Mathematics, Panskura Banamali College, Panskura R.S., WB, 721152, India

    Nirmal Kumar Mahapatra

Authors
  1. Tuhin Bera
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  2. Nirmal Kumar Mahapatra
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Correspondence to Nirmal Kumar Mahapatra.

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Bera, T., Mahapatra, N.K. Introduction to neutrosophic soft topological space. OPSEARCH 54, 841–867 (2017). https://doi.org/10.1007/s12597-017-0308-7

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