• Title/Summary/Keyword: fuzzy n-compact set

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THE RIESZ THEOREM IN FUZZY n-NORMED LINEAR SPACES

  • Kavikumar, J.;Jun, Young-Bae;Khamis, Azme
    • Journal of applied mathematics & informatics
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    • v.27 no.3_4
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    • pp.541-555
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    • 2009
  • The primary purpose of this paper is to prove the fuzzy version of Riesz theorem in n-normed linear space as a generalization of linear n-normed space. Also we study some properties of fuzzy n-norm and introduce a concept of fuzzy anti n-norm.

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FUZZY SELECTION AND EXISTENCE OF FUZZY FIXED POINT

  • Kim, Won-Kyu;Park, Kyoo-Hong;Lee, Kyoung-Hee
    • Journal of applied mathematics & informatics
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    • v.2 no.1
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    • pp.17-24
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    • 1995
  • In this paper we shall prove a new fuzzy continuous selec-tion theorem in a compact convex set and next a fixed point theorem for fuzzy mappings is established.

Two notes on "On soft Hausdorff spaces"

  • El-Shafei, M.E.;Abo-Elhamayel, M.;Al-shami, T.M.
    • Annals of Fuzzy Mathematics and Informatics
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    • v.16 no.3
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    • pp.333-336
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    • 2018
  • One of the well known results in general topology says that every compact subset of a Hausdorff space is closed. This result in soft topology is not true in general as demonstrated throughout this note. We begin this investigation by showing that [Theorem 3.34, p.p.23] which proposed by Varol and $Ayg{\ddot{u}}n$ [7] is invalid in general, by giving a counterexample. Then we derive under what condition this result can be generalized in soft topology. Finally, we evidence that [Example 3.22, p.p. 20] which introduced in [7] is false, and we make a correction for this example to satisfy a condition of soft Hausdorffness.