Fuzzy sets on uniform spaces

[1] D. Buhagiar, B. A. Pasynkov, Supercomplete topological spaces, Acta Mathematica Hungarica, 115(4) (2007), 269-
279.

[2] F. Castro-Company, S. Romaguera, P. Tirado, On the construction of metrics from fuzzy metrics and its application
to the  xed point theory of multivalued mappings, Journal of Fixed Point Theory and Applications, 226 (2015), 9
pages.

[3] P. Diamond, P. Kloeden, Metric spaces of fuzzy sets: Theory and applications, Singapore: World Scientific, 1994.

[4] R. Engelking, General topology, Sigma Series in Pure Mathematics, Vol. 6, Heldermann Verlag, Berlin, 1989.

[5] J. J. Font, D. Sanchis, M. Sanchis, Completeness, metrizability and compactness in spaces of fuzzy-number-valued
functions, Fuzzy Sets and Systems, 353 (2018), 124-136.

[6] Y. H. Goo, J. S. Park, On the continuity of the Zadeh extensions, Journal of the Chungcheong Mathematical Society,
20(4) (2007), 525-533.

[7] V. Gregori, J. J. Mi˘nana, A Banach contraction principle in fuzzy metric spaces de ned by means of t-conorms,
Revista de la Real Academia de Ciencias Exactas, F´ısicas y Naturales. Serie A. Matem´aticas, 115(3) (2021), 129-139.

[8] A. Hohti, On supercomplete uniform spaces. IV. Countable products, Fundamenta Mathematicae, 136 (1990), 115-
120.

[9] H. Huan, Characterizations of endograph metric and Γ-convergence on fuzzy sets, Fuzzy Sets and Systems, 350
(2018), 55-84.

[10] H. Huang, Some properties of Skorokhod metric on fuzzy sets, Fuzzy Sets and Systems, 437 (2022), 35-52.

[11] J. R. Isbell, Supercomplete spaces, Pacific Journal of Mathematics, 12 (1962), 287-290.

[12] D. Jard´on, I. S´anchez, Sensitivity and strong sensitivity on induced dynamical system, Iranian Journal of Fuzzy
Systems, 18(4) (2021), 69-78.

[13] D. Jard´on, I. S´anchez, M. Sanchis, Some questions about Zadeh's extension on metric spaces, Fuzzy Sets and
Systems, 379 (2020), 115-124.

[14] D. Jard´on, M. Sanchis, Pointwise convergence topology and function spaces in fuzzy analysis, Iranian Journal of
Fuzzy Systems, 15(2) (2018), 1-21.

[15] S. Y. Joo, Y. K. Kim, The Skorokhod topology on space of fuzzy numbers, Fuzzy Sets and Systems, 111 (2000),
497-501.

[16] S. Kumar, Numerical solution of fuzzy fractional di usion equation by Chebyshev spectral method, Numerical
Methods for Partial Differential Equations, 38(3) (2022), 490-508.

[17] J. Kupka, On fuzzi cations of discrete dynamical systems, Information Sciences, 181 (2011), 2858-2872.

[18] J. Kupka, On Devaney chaotic induced fuzzy and set-valued dynamical systems, Fuzzy Sets and Systems, 177
(2011), 34-44.

[19] E. Michael, Topologies on spaces of subsets, Transactions of the American Mathematical Society, 71(1) (1951),
152-182.

[20] K. Morita, Completion of hyperspaces of compact sets and topological completion of open-closed maps, General
Topology and its Applications, 4(3) (1974), 217-233.

[21] T. Muthukumar, T. Jayakumar, D. P. Bharathi, Numerical solution of fuzzy neutral delay di erential equations by
 fth order Runge-Kutta Nystrom method, Journal of Applied Nonlinear Dynamics, 11(3) (2022), 703-717.

[22] D. Qiu, S. Dong, Supremum metric on the space of fuzzy sets and common  xed point theorems for fuzzy mappings,
Information Sciences, 178(18) (2008), 3595-3604.

[23] S. Romaguera, M. Sanchis, Completeness of hyperspaces on topological groups, Journal of Pure and Applied Algebra,
149 (2000), 287-293.

[24] Z. Yang, L. Zhongqiang, F. Yuqiong, Z. Taihe, L. Zhang, The topological structure of the set of fuzzy numbers with
Lp metric, Topology and its Applications, 312 (2022), 21 pages.

[25] L. Zhang, The topological structure of fuzzy sets with sendograph metric, Topology and its Applications, 160(13)
(2013), 1501-1506.