Intuitionistic hyperspaces
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초록
For an ITS $(X,\tau)$, we introduce an intuitionistic hyperspace $(2^{(X,\tau)},\tau_{v})$ [resp. $(2^{(X,\tau_{I})},\tau_{I,v})$ and $(2^{(X,\tau_{IV})},\tau_{IV,v})$] of $\tau$-type [resp. $\tau_{I}$-type and $\tau_{IV}$-type]. And we give some examples of each hyperspace and obtain some properties of the hyperspace $(2^{(X,\tau)},\tau_{v})$. Next, we find some relationships between openess in an ITS $(X,\tau)$ and its hyperspace $2^{(X,\tau)}$. Finally, we introduce an intuitionistic set-valued mapping and study its some continuities.
Abstract
For an ITS $(X,\tau)$, we introduce an intuitionistic hyperspace $(2^{(X,\tau)},\tau_{v})$ [resp. $(2^{(X,\tau_{I})},\tau_{I,v})$ and $(2^{(X,\tau_{IV})},\tau_{IV,v})$] of $\tau$-type [resp. $\tau_{I}$-type and $\tau_{IV}$-type]. And we give some examples of each hyperspace and obtain some properties of the hyperspace $(2^{(X,\tau)},\tau_{v})$. Next, we find some relationships between openess in an ITS $(X,\tau)$ and its hyperspace $2^{(X,\tau)}$. Finally, we introduce an intuitionistic set-valued mapping and study its some continuities.
참고문헌 (20)
- K. Atanassov, "Intuitionistic fuzzy sets, VII ITKR's Session" (1983), Soa
- C. Bavithra, "Feeble compactness of intuitionistic fell topological space", Ann. Fuzzy Math. Inform., 11(3), pp.485~494
- Sadik Bayhan, "On separation axioms in intuitionistic topological spaces", IJMMS, 27(10), pp.621~630 (2001)
- Sadik Bayhan, "Pairwise separation axioms in intuitionistic topological spaces", Hacettepe Journal of Mathematics and Statistics, 34(S), pp.101~114 (2005)
- D. Coker, "A note on intuitionistic sets and intuitionistic points", Tr. J. of Mathematics, 20, pp.343~351 (1996)
- D. Coker, "An introduction to intuitionistic topological spaces", BUSEFAL, 81, pp.51~56 (2000)
- E. Coskun, "On neighborhood structures in intuitionistic topological spaces", Math. Balkanica (N. S.), 12(3-4), pp.283~909 (1998)
- Taha H. Jassim, "Completely normal and weak completely normal in intuitionistic topological spaces", International Journal of Scientic and Engineering Research, 4(10), pp.438~442 (2013)
- J. C. Kelly, "Bitopological spaces", Proc. London Math. Soc., 13, pp.71~ (1963)
- 김준희, "The category of intuitionistic sets", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 14(6), pp.549~562 (2017), 기초자연과학연구소[DOI]
- 김준희, "Intuitionistic topological spaces", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 15(1), pp.29~46 (2018), 기초자연과학연구소[DOI]
- J. Kim, "Separation axioms in intuitionistic topological spaces"
- J. Kim, "Connectedness in intuitionistic topological spaces"
- 이정곤, "Intuitionistic continuous, closed and open mappings", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 15(2), pp.101~122 (2018), 기초자연과학연구소[DOI]
- 이석종, "Categorical property of intuitionistic topological spaces", 대한수학회논문집, 24(4), pp.595~603 (2009), 대한수학회
- Ahmet Z. Ozcelik, "On submaximality in intuitionistic topological spaces", International Scholarly and Scientic Research and Innovation, 1(1), pp.64~66 (2007)
- A. A. Salama, "Some Intuitionistic Topological No- tions of Intuitionistic Region, Possible Application to GIS Topological Rules", International Journal of Enhanced Research in Management and Computer Applications, 3(5), pp.4~9 (2014)
- S. Selvanayaki, "IGPR-continuity and compactness intuitionistic topo- logical spaces", British Journal of Mathematics and Computer Science, 11(2), pp.1~8 (2015)
- S. Selvanayaki, "Homeomorphism on intuitionistic topological spaces", Ann. Fuzzy Math. Inform., 11(6), pp.957~966 (2016)
- L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)[DOI]