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FUZZY r-MINIMAL β-OPEN SETS ON FUZZY MINIMAL SPACES

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We introduce the concept of fuzzy r-minimal B-open set on a fuzzy minimal space and basic some properties. We also introduce the concept of fuzzy r-M B-continuous mapping which is a generalization of fuzzy r-M continuous mapping and fuzzy r-M semicontinuous mapping, and investigate characterization for the continuity.

Abstract

We introduce the concept of fuzzy r-minimal B-open set on a fuzzy minimal space and basic some properties. We also introduce the concept of fuzzy r-M B-continuous mapping which is a generalization of fuzzy r-M continuous mapping and fuzzy r-M semicontinuous mapping, and investigate characterization for the continuity.

참고문헌 (5)

  1. C.L. Chang, "Fuzzy topological spaces", J. Math. Anal. Appl, 24, pp.182~190 (1968)
  2. A.A. Ramadan, "Smooth topological spaces", Fuzzy Sets and Systems, 48, pp.371~375 (1992)
  3. W.K. Min, "Fuzzy r-minimal semiopen sets and fuzzy r-M semicontinuous functions on fuzzy r-minimal spaces", Proceedings of KIIS Spring Conference 2009, 19(1), pp.49~52 (2009)
  4. Y.H. Yoo, "Fuzzy r-Minimal Structures and Fuzzy r-Minimal Spaces", Far East Journal of Mathematical Sciences, 33(2), pp.193~205 (2009)
  5. L.A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)

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