| Title of paper:
|
Intuitionistic fuzzy strongly preirresolute continuous mappings
|
| Author(s):
|
| Salah Abbas
|
| Department of Mathematics, Faculty of Science, Sohag, Egypt
|
|
|
| Biljana Krsteska
|
| Faculty of Mathematics and Natural Science, Skopje, Macedonia
|
|
|
|
| Published in:
|
"Notes on IFS", Volume 13 (2007) Number 1, pages 1—19
|
| Download:
|
 PDF (263 Kb, File info)
|
| Abstract:
|
We introduce (r, s)-intuitionistic fuzzy strongly preopen and (r,s)-intuitionistic fuzzy strongly preclosed sets in intuitionistic fuzzy topological spaces in Šostak sense. We investigate some properties of them. IF strong preirresolute, IF strongly preirresolute open and IF strongly preirresolute closed mappings between intuitionistic fuzzy topological spaces are defined. Their properties and the relationships between these mappings are investigated.
|
| Keywords:
|
(r,s)-intuitionistic fuzzy strongly preopen, (r,s)-intuitionistic fuzzy
strongly preclosed, IF strong precontinuity, IF strongly preirresolute continuous mapping
|
| References:
|
- S. E. Abbas, Intuitionistic supra fuzzy topological spaces, Chaus, Solitons and Fractals (To appear).
- K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20(1) (1986), 87-96.
- K. Atanassov, New operators defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems 61(2) (1993), 131-142.
- K. Atanassov, S. Stoeva, Intuitionistic fuzzy sets, Proc. of Polish Symp. on Interval and Fuzzy Mathematics, Poznan, August (1983), 23-26.
- Biljana Krsteska, Fuzzy strongly preopen sets and fuzzy strong precontinuity, Mathematicki Vesnik 50 (1998), 111-123.
- C.L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182—190.
- D. Coker and M. Demirci, An introduction to intuitionistic fuzzy topological spaces in Šostak’s sense, Busefal 67 (1996), 67-76.
- D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems 88 (1997), 81-89.
- U. Hohle and S.E. Rodabaugh, Logic, Topology and Measure Theory, The Handbooks of Fuzzy Sets Series, Kluwer Academic Publishers, Boston (1999).
- Y. C. Kim, A. A. Ramadan and S. E. Abbas, r-fuzzy strongly preopen sets in fuzzy topological space, Mathematicki Vesnik 55(1,2), 1-13.
- S. K. Samanta, T. K. Mondal, Intuitionistic gradation of openness: intuitionistic fuzzy topology, Busefal 73 (1997), 8-17.
- S. K. Samanta and T. K. Mondal, On intuitionistic gradation of openness, Fuzzy Sets and Systems 131 (2002), 323-336.
- A.P. Šostak, On a fuzzy topological structure, Rend. Circ. Matem. Palermo Ser.II 11 (1985), 89-103.
|
| Citations:
|
The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.
|
|
