fuzzy nonlinear approximation theory with application.
作者： M. Soleimani-Vareki , A. Yousefi
DOI:
关键词:
摘要: In this paper, we show that cartesian product with a flxed compact set pre- serve various nonlinear approximation-theoretic properties in L-fuzzy metric space. fact, for approximative compactness and proximinality, points can be replaced by sets (Theorem 2.4); also 2.8), preserve the com- pactness hierarchy when operate subset. Further, of an approximatively subset which minimize distance to given is itself 2.9).
参考文章(12)
H. Adibi, Y.J. Cho, D. O‘Regan, R. Saadati, Common fixed point theorems in L-fuzzy metric spaces Applied Mathematics and Computation. ,vol. 182, pp. 820- 828 ,(2006) , 10.1016/J.AMC.2006.04.045
Krassimir T. Atanassov, Intuitionistic fuzzy sets Fuzzy Sets and Systems. ,vol. 20, pp. 87- 96 ,(1986) , 10.1016/S0165-0114(86)80034-3
Reza Saadati, Jin Han Park, On the intuitionistic fuzzy topological spaces Chaos, Solitons & Fractals. ,vol. 27, pp. 331- 344 ,(2006) , 10.1016/J.CHAOS.2005.03.019
A. George, P. Veeramani, On some results in fuzzy metric spaces Fuzzy Sets and Systems. ,vol. 64, pp. 395- 399 ,(1994) , 10.1016/0165-0114(94)90162-7
Glad Deschrijver, Etienne E. Kerre, On the relationship between some extensions of fuzzy set theory Fuzzy Sets and Systems. ,vol. 133, pp. 227- 235 ,(2003) , 10.1016/S0165-0114(02)00127-6
Jesús Rodrı́guez-López, Salvador Romaguera, The Hausdorff fuzzy metric on compact sets Fuzzy Sets and Systems. ,vol. 147, pp. 273- 283 ,(2004) , 10.1016/J.FSS.2003.09.007
J.A Goguen, L-fuzzy sets Journal of Mathematical Analysis and Applications. ,vol. 18, pp. 145- 174 ,(1967) , 10.1016/0022-247X(67)90189-8
Paul C. Kainen, REPLACING POINTS BY COMPACTA IN NEURAL NETWORK APPROXIMATION Journal of The Franklin Institute-engineering and Applied Mathematics. ,vol. 341, pp. 391- 399 ,(2004) , 10.1016/J.JFRANKLIN.2004.03.001
Reza Saadati, Abdolrahman Razani, H Adibi, None, A common fixed point theorem in L-fuzzy metric spaces Chaos, Solitons & Fractals. ,vol. 33, pp. 358- 363 ,(2007) , 10.1016/J.CHAOS.2006.01.023
Reza Saadati, Jin Han Park, None, Intuitionistic Fuzzy Euclidean Normed Spaces ,(2006)