Generalized Tychonoff theorem in L-fuzzy supratopological spaces¹

Article type: Research Article

Authors: Zhao, Hu^{a; *} | Chen, Gui-Xiu^b | Zhang, Hong-Ying^c

Affiliations: [a] School of Science, Xi’an Polytechnic University, Xi’an, P.R. China | [b] School of Mathematics and Statistics, Qinghai Normal University, Xining, P. R. China | [c] School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, P. R. China

Correspondence: [*] Corresponding author. Hu Zhao, School of Science, Xi’an Polytechnic University, Xi’an, 710048, P.R. China. E-mails: zhaohu@xpu.edu.cn and zhaohu2007@yeah.net.

Note: [1] This work was supported by the National Natural Science Foundation of China (Grant Nos. 11501435, 11671007 and 11771263), the Scientific Research Program Funded by Shaanxi Provincial Education Department (Program No. 18JK0360), and the Applied Basic Research Program Funded by Qinghai Province (Program No. 2019-ZJ-7078).

Abstract:  In this paper, using the structures of (L, L)-fuzzy product supratopological spaces which were introduced by Hu Zhao and Gui-xiu Chen, we give a proof of generalized Tychonoff theorem in L-fuzzy supratopological spaces by means of implication operations.

Keywords: (L, M)-fuzzy supratopology, product topological spaces, fuzzy compactness, generalized Tychonoff theorem

DOI: 10.3233/JIFS-18796

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 6, pp. 6663-6668, 2019