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2020 | 144 | 196-207
Article title

A New Notion of Star Open Sets in Soft Topological Spaces

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In our day-to-day life, we look out problems with unreliabilities. To handle the lack of unreliability and to solve the problems related to uncertainty, a short time ago numberless theories have been developed like Rough Sets [Pawlak 1982], Fuzzy Sets [Zadeh, 1965], Vague Sets [Gau and Buehrer, 1993]. However, these methodologies have their own risks. To circumvent these difficulties, Molodtsov [1999] developed Soft set theory to deal with unreliability. The development of Soft Set theory is whistle stop now-a-days. In 2013, Gnanambal et al. made a study of soft topology via soft pre-open sets. Quite recently, the authors defined soft semi*-open sets using semi*-open sets. This paper aims at developing a soft topology via soft pre*-open sets. Further, we study the fundamental properties of soft pre*-open and soft pre*-closed sets, soft pre*-interior and soft pre*-closure operators.
Physical description
  • Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College (Autonomous), Sivakasi - 626 124, Tamil Nadu, India
  • School of Mathematics, Madurai Kamaraj University, Madurai - 625 021, Tamil Nadu, India
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