Intuitionistic Fuzzy n-spaces
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Published:
May 31, 2016
Keywords:
Intuitionistic fuzzy n-spaces Intuitionistic fuzzy metric spaces.
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Abstract
This research aimed to define intuitionistic fuzzy n-space and the topology of intuitionistic fuzzy n-space and studies about some properties of topology of intuitionistic fuzzy n-space. We conducted by studied some research about them and including studied some ideas for prove. We obtained the following findings:
1. The definition of intuitionistic fuzzy n-space and some examples.
2. The topology of intuitionistic fuzzy n-space and some examples.
3. Some properties of topology of intuitionistic fuzzy n-space such as open balls, open sets, convergent series, Cauchy sequences, Baire’s theorem and Cantor’s theorem, etc.
Article Details
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Research Articles
References
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18. Mursaleen, M., Lohani, Q.M.D., & Mohiuddine, S.A. (2009). Intuitionistic fuzzy 2-metric space and its completion. Chaos Solitions & Fractals. 42, 1258-65.
19. Park, J.H. (2004). Intuitionistic fuzzy metric spaces. Chaos Solitions & Fractals. 22, 1039-46.
20. Xiao, J., & Zhu, X. (2002). On linearly topological structure and property of fuzzy normed linear space. Fuzzy sets Syst. 125, 153-61.
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2. Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy sets Syst. 20, 87-96.
3. Atanassov, K. (1994). New operations defined over the intuitionistic fuzzy sets. Fuzzy sets Syst. 61, 137-42.
4. Barros, L.C., Bassanezi, R.C., & Tonelli, P.A. (2000). Fuzzy modeling in population dynamics. Ecol Model. 128, 27-33.
5. Coker, D. (1997). An introduction to intuitionistic fuzzy topological spaces. Fuzzy sets Syst. 88, 81-9.
6. El Naschie, M.A. (2000). On the unification of heterotic strings theory and theory. Chaos Solitions & Fractals. 11(14), 2397-408.
7. El Naschie, M.A. (2004). A review of E-infinity theory and the mass spectrum of high energy particle physics. Chaos Solitions & Fractals. 19, 209-36.
8. El Naschie, M.A. (2004). Quantum gravity, Clifford algebras, fuzzy set theory and the fundamental constants of nature. Chaos Solitions & Fractals. 20, 437-50.
9. El Naschie, M.A. (2006). Fuzzy dodecahedron topology and E-infinity space time as a model for quantum physics. Chaos Solitions & Fractals. 30, 1025-33.
10. Erceg, M.A. (1979). Metric spaces in fuzzy set theory. J Math Anal Appl. 69, 205-30.
11. Fang, J.X. (2002). A note on the completions of fuzzy metric spaces and fuzzy normed spaces. Fuzzy Set Syst. 131, 399-407.
12. Fradkov, A.L.,& Evans R.J. (2005). Control of chaos: methods and applications in engineering. Chaos Solitions & Fractals. 29, 33-56.
13. George, A., & Veeramani, P. (1994). On some results in fuzzy metric spaces. Fuzzy Sets Syst. 64, 395-399.
14. Giles, R. (1980). A computer program for fuzzy reasoning. Fuzzy Sets Syst. 4, 221-34.
15. Hong, L., & Sun, J.Q. 2006. Bifurcations of fuzzy nonlinear dynamical systems. Commun Nonlinear Sci Numer Simul. 1, 1-13.
16. Kaleva, O, & Seikkala, S. (1984). On fuzzy metric spaces. Fuzzy Sets Syst. 12, 215-29.
17. Mursaleen, M., & Lohani, Q.M.D. 2009. Intuitionistic fuzzy 2-normed space and some related concepts. Chaos Solitions & Fractals. 42, 224-34.
18. Mursaleen, M., Lohani, Q.M.D., & Mohiuddine, S.A. (2009). Intuitionistic fuzzy 2-metric space and its completion. Chaos Solitions & Fractals. 42, 1258-65.
19. Park, J.H. (2004). Intuitionistic fuzzy metric spaces. Chaos Solitions & Fractals. 22, 1039-46.
20. Xiao, J., & Zhu, X. (2002). On linearly topological structure and property of fuzzy normed linear space. Fuzzy sets Syst. 125, 153-61.
21. Zadeh, L.A. (1965). Fuzzy sets. Inform Control., 8, 338-53.
