L-CONVEX SYSTEMS AND THE CATEGORICAL ISOMORPHISM TO SCOTT-HULL OPERATORS

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SHEN CHONG; SHI FU GUI

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Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2018 | Volume:15 | Issue:2 Page(s): 23-40

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Information Journal Paper

Title

L-CONVEX SYSTEMS AND THE CATEGORICAL ISOMORPHISM TO SCOTT-HULL OPERATORS

Author(s)

SHEN CHONG | SHI FU GUI | Issue Writer Certificate

Keywords

L-CONVEX SYSTEMQ2

SCOTT-HULL SPACEQ2

INDUCED L-CONVEX STRUCTUREQ2

QUO-TIENT SYSTEMQ2

Abstract

The concepts of L-CONVEX SYSTEMs and SCOTT-HULL SPACEs are pro-posed on frame-valued setting. Also, we establish the categorical isomorphism between L-CONVEX SYSTEMs and SCOTT-HULL SPACEs. Moreover, it is proved that the category of L-convex structures is bireflective in the category of L-CONVEX SYSTEMs. Furthermore, the quotient systems of L-CONVEX SYSTEMs are studied.

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APA: Copy

SHI, FU GUI. (2018). L-CONVEX SYSTEMS AND THE CATEGORICAL ISOMORPHISM TO SCOTT-HULL OPERATORS. IRANIAN JOURNAL OF FUZZY SYSTEMS, 15(2 ), 23-40. SID. https://sid.ir/paper/113232/en

Vancouver: Copy

SHI FU GUI. L-CONVEX SYSTEMS AND THE CATEGORICAL ISOMORPHISM TO SCOTT-HULL OPERATORS. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2018;15(2 ):23-40. Available from: https://sid.ir/paper/113232/en

IEEE: Copy

FU GUI SHI, “L-CONVEX SYSTEMS AND THE CATEGORICAL ISOMORPHISM TO SCOTT-HULL OPERATORS,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 15, no. 2 , pp. 23–40, 2018, [Online]. Available: https://sid.ir/paper/113232/en

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