DOI QR코드

DOI QR Code

PS-CONNECTEDNESS OF L-SUBSETS

  • 발행 : 2007.01.31

초록

It is known that connectedness is one of the important notions in topology. In this paper, a new notion of connectedness is introduced in L-topological spaces, which is called PS-connectedness. It contains some nice properties. Especially, the famous K. Fan's Theorem holds for PS-connectedness in L-topological spaces.

키워드

참고문헌

  1. D. M. Ali, Some other types of fuzzy connectedness, Fuzzy Sets and Systems 46 (1992), no. 1, 55-61 https://doi.org/10.1016/0165-0114(92)90266-7
  2. D. M. Ali and A. K. Srivastava, On fuzzy connectedness, Fuzzy Sets and Systems 28 (1988), no. 2, 203-208 https://doi.org/10.1016/0165-0114(88)90200-X
  3. K. K. Azad, On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly conti- nuity, J. Math. Anal. Appl. 82 (1981), no. 1, 14-32 https://doi.org/10.1016/0022-247X(81)90222-5
  4. S.-Z. Bai, Pre-semiclosed sets and PS-convergence in L-fuzzy topological spaces, J. Fuzzy Math. 9 (2001), no. 2, 497-509
  5. S.-Z. Bai, Applications of PS-convergence in L-topological spaces, Fuzzy Systems and Math. 18 (2004), 238-241
  6. S.-Z. Bai, Strong connectedness in L-fuzzy topological spaces, J. Fuzzy Math. 3 (1995), no. 4, 751-759
  7. S.-Z. Bai and W.-L. Wang, I type of strong connectivity in L-fuzzy topological spaces, Fuzzy Sets and Systems 99 (1998), no. 3, 357-362 https://doi.org/10.1016/S0165-0114(97)00040-7
  8. B. Ghosh, Semi-continuous and semi-closed mappings and semi-connectedness in fuzzy seting, Fuzzy Sets and Systems 35 (1990), no. 3, 345-355 https://doi.org/10.1016/0165-0114(90)90008-T
  9. R. Lowen and A. K. Srivastava, On Preuss' connectedness concept in FTS, Fuzzy Sets and Systems 47 (1992), no. 1, 99-104 https://doi.org/10.1016/0165-0114(92)90065-C
  10. F.-G. Shi and C. Y. Zheng, Connectivity in fuzzy topological molecular lattices, Fuzzy Sets and Systems 29 (1989), no. 3, 363-370 https://doi.org/10.1016/0165-0114(89)90048-1
  11. N. Turanli and D. Coker, On some type of fuzzy connectedness in fuzzy topological spaces, Fuzzy Sets and Systems 60 (1993), no. 1, 97-102 https://doi.org/10.1016/0165-0114(93)90294-R
  12. G.-J. Wang, Order-homomorphisms on fuzzes, Fuzzy Sets and Systems 12 (1984), no. 3, 281-288 https://doi.org/10.1016/0165-0114(84)90074-5
  13. G.-J. Wang, Connectivity in L-fuzzy topological spaces, J. Shaanxi Normal University 3 (1987), 1-10
  14. G.-J. Wang, Theory of L-fuzzy Topological Spaces, Press of Shaanxi Normal University, Xi'an, China, 1988