Fuzzy convergence structures in the framework of L-convex spaces

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Xiu Z. Y.; LI Q.H.; PANG B.

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Journal: Iranian Journal of Fuzzy Systems Year:2020 | Volume:17 | Issue:4 Page(s): 139-150

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Title

Fuzzy convergence structures in the framework of L-convex spaces

Author(s)

Xiu Z. Y. | LI Q.H. | PANG B. | Issue Writer Certificate

Keywords

Fuzzy convergence structuresQ2

fuzzy convex structuresQ2

fuzzy remote-neighborhood systemsQ2

L-convex idealsQ2

Abstract

In this paper, fuzzy convergence theory in the framework of L-convex spaces is introduced. Firstly, the concept of L-convex remote-neighborhood spaces is introduced and it is shown that the resulting category is isomorphic to that of L-convex spaces. Secondly, by means of L-convex ideals, the notion of L-convergence spaces is introduced and it is proved that the category of L-convex spaces can be embedded in that of L-convergence spaces as a reflective subcategory. Finally, the concepts of convex and preconvex L-convergence spaces are introduced and it is shown that the resulting categories are isomorphic to the categories of L-convex spaces and L-preconvex remote-neighborhood spaces, respectively

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APA: Copy

Xiu, Z. Y., LI, Q.H., & PANG, B.. (2020). Fuzzy convergence structures in the framework of L-convex spaces. IRANIAN JOURNAL OF FUZZY SYSTEMS, 17(4 ), 139-150. SID. https://sid.ir/paper/381526/en

Vancouver: Copy

Xiu Z. Y., LI Q.H., PANG B.. Fuzzy convergence structures in the framework of L-convex spaces. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2020;17(4 ):139-150. Available from: https://sid.ir/paper/381526/en

IEEE: Copy

Z. Y. Xiu, Q.H. LI, and B. PANG, “Fuzzy convergence structures in the framework of L-convex spaces,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 17, no. 4 , pp. 139–150, 2020, [Online]. Available: https://sid.ir/paper/381526/en

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