• 제목/요약/키워드: soft semi-interior(closure)

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On Soft Topological Space via Semiopen and Semiclosed Soft Sets

  • Mahanta, Juthika;Das, Pramod Kumar
    • Kyungpook Mathematical Journal
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    • 제54권2호
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    • pp.221-236
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    • 2014
  • This paper introduces semiopen and semiclosed soft sets in soft topological spaces and then these are used to generalize the notions of interior and closure. Further, we study the properties of semiopen soft sets, semiclosed soft sets, semi interior and semi closure of soft set in soft topological spaces. Various forms of soft functions, like semicontinuous, irresolute, semiopen and semiclosed soft functions are introduced and characterized including those of soft semicompactness, soft semiconnectedness. Besides, soft semiseparation axioms are also introduced and studied.

ON SOFT REGULAR-OPEN(CLOSED) SETS IN SOFT TOPOLOGICAL SPACES

  • HUSSAIN, SABIR
    • Journal of applied mathematics & informatics
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    • 제36권1_2호
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    • pp.59-68
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    • 2018
  • In this paper, We define and explore the characterizations and properties of soft regular open(closed) and soft semi-regular sets in soft topological spaces. The properties of soft extremally disconnected spaces are also introduced and discussed. The findings in this paper will help researcher to enhance and promote further study on soft topology to carry out a general framework for their applications in practical life.