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Fuzzy α-b-almost compact space

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This paper deals with some applications of fuzzy α-b-open set. Here we introduce fuzzy α-b-almost compactness and characterize this concept via fuzzy net and prefilterbase. Also we introduce fuzzy regularly α-b-open set which characterizes fuzzy α-b-almost compactness. It is shown that fuzzy α-b-almost compactness implies fuzzy almost compactness and the converse is true only on fuzzy α-b-regular space.

Abstract

This paper deals with some applications of fuzzy α-b-open set. Here we introduce fuzzy α-b-almost compactness and characterize this concept via fuzzy net and prefilterbase. Also we introduce fuzzy regularly α-b-open set which characterizes fuzzy α-b-almost compactness. It is shown that fuzzy α-b-almost compactness implies fuzzy almost compactness and the converse is true only on fuzzy α-b-regular space.

참고문헌 (15)

  1. Anjana Bhattacharyya, "Fuzzy α-b-regularity in a fuzzy topological space", Ann. Fuzzy Math. Inform
  2. C. L. Chang, "Fuzzy topological spaces", J. Math. Anal. Appl, 24, pp.182~190 (1968)
  3. A. DiConcillio, "Almost compactness in fuzzy topological spaces", Fuzzy Sets and Systems, 13, pp.187~192 (1984)
  4. Pao Ming Pu, "Fuzzy topology I. Neighbourhood structure of a fuzzy point and Moore-Smith Convergence", J. Math Anal. Appl, 76, pp.571~599 (1980)
  5. R. Lowen, "Convergence in fuzzy topological spaces", General Topology and Its Applications, 10, pp.147~160 (1979)
  6. J. G. Lee, "Octahedron sets", Ann. Fuzzy Math. Inform, 19(3), pp.211~238 (2020)
  7. G. S. enel, "Soft closed sets on soft bitopological space", Journal of New Results in Science, 3(5), pp.57~66 (2014)
  8. G. S. enel, "Soft topological subspaces", Ann. Fuzzy Math. Inform, 10(4), pp.525~535 (2015)
  9. G. S. enel, "A new approach to Hausdorff space theory via the soft sets", Mathematical Problems in Engineering, pp.1~6[DOI]
  10. G. S. enel, "Soft topology generated by L-Soft sets", Journal of New Theory, 24(4), pp.88~100 (2018)
  11. G. S. enel, "Distance and similarity measures for octahedron sets and their applications to MCGDM problems", Mathematics, 8, pp.16~90 (2020)
  12. L. A. Zadeh, "Fuzzy Sets", Information and Control, 8, pp.338~353 (1965)
  13. A. S. Bin Shahna, "On fuzzy strong semicontinuity and fuzzy precontinuity", Fuzzy Sets and Systems, 44, pp.303~308 (1991)
  14. S. Ganguly, "A note on compactness in fuzzy setting", Fuzzy Sets and Systems, 34, pp.117~124 (1990)
  15. M. N. Mukherjee, "Almost compact fuzzy sets in fuzzy topological spaces", Fuzzy Sets and Systems, 38, pp.389~396 (1990)

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