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Al-Rdade, A.
- Fuzzy Retraction of Fuzzy Space Time
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Authors
Affiliations
1 Mathematics Department, Faculty of Science, Tanta University, Tanta, EG
2 Mathematics Department, Faculty of Science, Taibah University, Madinah, SA
1 Mathematics Department, Faculty of Science, Tanta University, Tanta, EG
2 Mathematics Department, Faculty of Science, Taibah University, Madinah, SA
Source
Indian Journal of Science and Technology, Vol 6, No 6 (2013), Pagination: 4687-4696Abstract
Our aim in the present article is to introduce and study a new type of metric, namely fuzzy space time metric. The geodesics of fuzzy space time metric will be obtained from the view point of Lagrangian equations. Types of the fuzzy retraction of fuzzy space time metric are presented. Types of the fuzzy folding of fuzzy space time metric are defined and discussed. The deformation retraction is also discussed. Some applications concerning these relations are presented.Keywords
Fuzzy Space Time Metric, Fuzzy Retraction, Fuzzy Deformation Retraction, Fuzzy Geodesics, Fuzzy FoldingFull Text
References
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- El-Ahmady A E, and Al-Luhaybi A S (Accepted). On fuzzy retracts of fuzzy closed flat Roberstion-Walker spaces, Advances in Fuzzy Sets and Systems, (Accepted).
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- Folding of Fuzzy Hyperboloid
Abstract Views :458 |
PDF Views:0
Authors
Affiliations
1 Mathematics Department, Faculty of Science, Taibah University, Madinah, SA
2 Mathematics Department, Faculty of Science, Tanta University, Tanta, SA
1 Mathematics Department, Faculty of Science, Taibah University, Madinah, SA
2 Mathematics Department, Faculty of Science, Tanta University, Tanta, SA
Source
Indian Journal of Science and Technology, Vol 6, No 8 (2013), Pagination: 5013-5018Abstract
Our aim in the present paper is to introduce and study new connection between fuzzy retractions, fuzzy foldings and fuzzy deformation retracts of fuzzy open hyperboloid in fuzzy Minkowski space and fuzzy open ball in fuzzy Euclidean space. Types of fuzzy foldings and fuzzy deformation retracts of fuzzy open hyperboloid are discussed. Types of minimal fuzzy retractions of fuzzy open hyperboloid are presented. The fuzzy foldings of fuzzy open hyperboloid will be deduced. Some applications are presented.Keywords
Fuzzy Retractions, Fuzzy Foldings, Fuzzy Deformation Retracts, Fuzzy Open Hyperboloid in Fuzzy Minkowski SpaceFull Text
References
- El-Ahmady A E (2007). The variation of the density functions on chaotic spheres in chaotic space-like Minkowski space time, Chaos, Solitons and Fractals, vol 31(5), 1272–1278.
- El-Ahmady A E (2007). Folding of fuzzy hypertori and their retractions, Proceedings of the Mathematical and Physical Society of Egypt, vol 85, No. 1, 1–10.
- El-Ahmady A E (2006). Limits of fuzzy retractions of fuzzy hyperspheres and their foldings, Tamkang Journal of Mathematics, vol 37, No. 1, 47–55.
- El-Ahmady A E (2012). Folding and unfolding of chaotic spheres in chaotic space-like Minkowski space-time, The Scientific Journal of Applied Research, vol 1(2), 34–43.
- El-Ahmady A E, and El-Araby A (2010). On fuzzy spheres in fuzzy Minkowski space, Nuovo Cimento, vol 125B, No. 10, 1153–1160.
- El-Ahmady A E (2011). Retraction of chaotic black hole, The Journal of Fuzzy Mathematics, vol 19, No. 4, 833–838.
- El-Ahmady A E (2004). Fuzzy lobachevskian space and its folding, The Journal of Fuzzy Mathematics, vol 12, No. 2, 609–614.
- El-Ahmady A E (2004). Fuzzy folding of fuzzy horocycle, Rendiconti del Circolo Matematico di Palermo, vol 53(3), 443–450.
- El-Ahmady A E, and Shamara H M (2001). Fuzzy deformation retracts of fuzzy horospheres, Indian Journal Pure Applied Mathematics, vol 32(10), 1501–1506.
- El-Ahmady A E, and Al-Onema K (2013). On fuzzy spheres in fuzzy Lobachevsky space and its retractions, Indian Journal of Science and Technology, vol 6, No. 4, 4242–4248.
- El-Ahmady A E, and Al-Luhaybi A S (2013). Fuzzy retractions of fuzzy open flat Robertson-Walker space, Advances in Fuzzy Systems, vol 2013(2013), 1–7.
- El-Ahmady A E, and Al-Luhaybi A S (2013). On fuzzy retracts of fuzzy closed flat Roberstion-Walker spaces, Advances in Fuzzy Sets and Systems, vol 14(1), 53–69.
- El-Ahmady A E, and Al-Rdade A (2013). A geometrical characterizations of Reissner – Nordstrom spacetime and its retractions, International Journal of Applied Mathematics and Statistics, vol 36(6), 83–91.
- El-Ahmady A E, and Al-Rdade A (2013). Fuzzy retraction of fuzzy spacetime, Indian Journal of Science and Technology, vol 6, No. 6, 4687–4696.
- El-Ahmady A E (2013). Fuzzy elastic Klein bottle and its retractions, International Journal of Applied Mathematics and Statistics, vol 42( 12), 94–102.
- El-Ahmady A E (2011). The geodesic deformation retract of Klein bottle and its folding, The International Journal of Nonlinear Science, vol 9, No. 3, 1–8.
- El-Ahmady A E (2013). On the fundamental group and folding of Klein bottle, International Journal of Applied Mathematics and Statistics, vol 37, No. 6, 56–64.
- El-Ahmady A E (2013). Folding and fundamental groups of Buchdahi space, Indian Journal of Science and Technology, vol 6(1), 3940–3945.
- El-Ahmady A E (2013). On elastic Klein bottle and fundamental groups, Applied Mathematics, vol 4, No. 3, 499–504.
- El-Ahmady A E (2012). Retraction of null helix in Minkowski 3-space, The Scientific Journal of Applied Research, vol 1(2), 28–33.
- El-Ahmady A E (2013). Folding and fundamental groups of flat Robertson-Walker Space, Indian Journal of Science and Technology, vol 6(4), 4235–4242.
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- El-Ahmady A E, and Al-Onema K (2013).The deformation retractions of fuzzy sphere in fuzzy Lobachevsky space and its folding, European Journal of Scientific Research, vol 104, No. 4, 549–560.
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