Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON FUZZY FUNCTIONS

  • EKICI ERDAL (Department of Mathematics Canakkale Onsekiz Mart University)
  • Published : 2005.10.01
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Abstract

In 1998, Thakur and Singh introduce the concept of fuzzy $\beta$-continuity (Fuzzy Sets and Systems, 98(1998), 383-391). In this paper we introduce and study the notion of fuzzy slightly $\beta$-continuity. Fuzzy slightly $\beta$-continuity generalize fuzzy $\beta$-continuity. Moreover, basic properties and preservation therems of fuzzy slightly $\beta$-continuous functions are obtained.

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References

  1. K. K. Azad, On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity, J. Math. Anal. Appl. 82 (1981), 14-32 https://doi.org/10.1016/0022-247X(81)90222-5
  2. M. Caldas, G. Navalagi, and R. Saraf, On fuzzy weakly semiopen functions, Proyecciones 21 (2002), 51-63
  3. C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190 https://doi.org/10.1016/0022-247X(68)90057-7
  4. I. M. Hanafy, A class of strong forms of fuzzy complete continuity, Fuzzy sets and systems 90 (1997), 349-353 https://doi.org/10.1016/S0165-0114(96)00109-1
  5. A. S. Mashhour, M. H. Ghanim, and M. A. F. Alla, On fuzzy non-continuous mappings, Bull. Calcutta Math. Soc. 78 (1986), 57-69
  6. P. Pao-Ming and L. Ying-Ming, Fuzzy Topology I. Neighborhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl. 76 (1980), 571-599 https://doi.org/10.1016/0022-247X(80)90048-7
  7. K. S. Raja Sethupathy and S. Laksmivarahan, Connectedness in fuzzy topology, Kybernetika(Prague) 13 (1977), no. 3,190-193
  8. S. S. Thakur and S. Singh, Fuzzy semipreopen sets and fuzzy semi-precontinuity, Fuzzy sets and systems 98 (1998), 383-391 https://doi.org/10.1016/S0165-0114(96)00363-6