Fuzzy Orbit Irresolute Mappings

Abstract

Fuzzy orbit topological space is a new structure very recently given by [1]. This new space is based on the notion of open fuzzy orbit sets. The aim of this paper is to provide applications of open fuzzy orbit sets. We introduce the notions of fuzzy orbit irresolute mappings and fuzzy orbit open (resp. irresolute open) mappings and studied some of their properties. .

Keywords

• Fuzzy orbit
• fuzzy orbit topology
• fuzzy orbit closure
• fuzzy orbit neighbourhood
• fuzzy orbit irresolute mapping

References

1. R. N. Majeed, S. A. El-Sheikh, Fuzzy Orbit Topological Spaces, IOP Conf. Series: Materials Science and Engineering 571 (2019) 012026 1-11.
2. L. A. Zadeh, Fuzzy Sets, Information and Control 8 (1965) 338-353.
3. C. L. Chang, Fuzzy Topological Spaces, Journal of Mathematical Analysis and Applications 24 (1968) 182-190.
4. S. A. Ghour, A. Fora, On CDH Fuzzy Spaces, Journal of Intelligent and Fuzzy Systems 30(2) (2016) 935-941.
5. K. K. Azad, Fuzzy Hausdorff Spaces and Fuzzy Perfect Mappings, Journal of Mathematical Analysis and Applications 82 (1981) 297-305.
6. H. C. Chamuah, B. C. Chetia, Application of Fuzzy Topological Relation in Flood Prediction, International Journal of Computer Applications 122(7) (2015) 8-13.
7. D. N. Georgiou, B. K. Papadopoulos, On Fuzzy Compactness, Journal of Mathematical Analysis and Applications 233 (1999) 86-101.
8. O. Tantawy, S. A. El-Sheikh, R. Naser, Fuzzy Pairwise Separation Axioms in Fuzzy Bitopological Spaces, Jo ̈kull Journal 63(12) (2013) 243-260.

9. O. A. Tantawy, S.A. El-sheikh, R. N. Majeed, A Note on “Separation Axioms in Fuzzy Bitopological Spaces”, Journal of Intelligent and Fuzzy Systems 28 (2015) 2243-2244.
10. R. Malathi, M. K. Uma, Fuzzy Orbit* Continuous Mappings, Annals of Fuzzy Mathematics and Informatics 13(4) (2017) 465-474.