CHARACTERIZATIONS OF L-CONVEX SPACES

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PANG BIN; ZHAO YI

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Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2016 | Volume:13 | Issue:4 Page(s): 51-61

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Information Journal Paper

Title

CHARACTERIZATIONS OF L-CONVEX SPACES

Author(s)

PANG BIN | ZHAO YI | Issue Writer Certificate

Keywords

L-CONVEX STRUCTURE

L-CONCAVE STRUCTURE

CONVEX L-CLOSURE OPERATOR

CONCAVE L-INTERIOR OPERATOR

CONCAVE L-NEIGHBORHOOD SYSTEM

Abstract

In this paper, the concepts of L-CONCAVE STRUCTUREs, CONCAVE L-INTERIOR OPERATORs and CONCAVE L-NEIGHBORHOOD SYSTEMs are introduced. It is shown that the category of L-concave spaces and the category of concave L-interior spaces are isomorphic, and they are both isomorphic to the category of CONCAVE L-NEIGHBORHOOD SYSTEMs whenever L is a completely distributive lattice. Also, it is proved that these categories are all isomorphic to the category of L-convex spaces whenever L is a completely distributive lattice with an order-reversing involution operator.

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APA: Copy

PANG, BIN, & ZHAO, YI. (2016). CHARACTERIZATIONS OF L-CONVEX SPACES. IRANIAN JOURNAL OF FUZZY SYSTEMS, 13(4), 51-61. SID. https://sid.ir/paper/689260/en

Vancouver: Copy

PANG BIN, ZHAO YI. CHARACTERIZATIONS OF L-CONVEX SPACES. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2016;13(4):51-61. Available from: https://sid.ir/paper/689260/en

IEEE: Copy

BIN PANG, and YI ZHAO, “CHARACTERIZATIONS OF L-CONVEX SPACES,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 13, no. 4, pp. 51–61, 2016, [Online]. Available: https://sid.ir/paper/689260/en

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