On (L, M)-double fuzzy remote neighborhood systems in (L, M)-DFTML¹

Article type: Research Article

Authors: Abd El-latif, A.A.^a | Kim, Yong Chan^{b; *}

Affiliations: [a] Department of Mathematics, Faculty of Science and Arts at Belqarn, SabtAl-Alaya, Bisha University, Saudi Arabia | [b] Department of Mathematics, Gangneung-Wonju National University, Gangneung, Gangwondo, Korea

Correspondence: [*] Corresponding author. Yong Chan Kim, Department of Mathematics, Gangneung-Wonju National University, Gangneung, Gangwondo 210-702, Korea. E-mail: [email protected].

Note: [1] This study was supported by Gangneung-Wonju NationalUniversity.

Abstract: The aim of this paper is to introduce and study the notions of (L, M)-double fuzzy topological molecular lattice, (L, M)-double fuzzy remote neighborhood space, and to construct the category (L, M)-DFRN which contains (L, M)-TDFRN as a full subcategory. (L, M)-TDFRN is shown as an isomorphic with (L, M)-DFTML. Finally, the notion of (L, M)-double fuzzy ideal was introduced and the theory of (L, M)-double fuzzy ideal convergence in an (L, M)-double fuzzy topological molecular lattice was established.

Keywords: (L, M)-double fuzzy topological molecular lattice, (L, M)-double fuzzy remote neighborhood space, isomorphic category, (L, M)-double fuzzy ideal

DOI: 10.3233/IFS-152080

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 6, pp. 3321-3333, 2016