A kind of fuzzy upper topology on L-preordered sets

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Han S.E.; LU L.X.

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Journal: Iranian Journal of Fuzzy Systems Year:2019 | Volume:16 | Issue:1 Page(s): 191-203

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Information Journal Paper

Title

A kind of fuzzy upper topology on L-preordered sets

Author(s)

Han S.E. | LU L.X. | Issue Writer Certificate

Keywords

Commutative unital quantaleQ2

(Complete) L-(pre)ordered setQ2

Stratied L-lterQ2

Stratied L-topologyQ2

Fuzzy S-upper topologyQ2

Fuzzy Scott topologyQ2

Abstract

Considering a Commutative unital quantale L as the truth value table and using the tool of L-generalized convergence structures of strati ed L- lters, this paper introduces a kind of fuzzy upper topology, called Fuzzy S-upper topology, on L-preordered sets. It is shown that every fuzzy join-preserving L-subset is open in this topology. When L is a complete Heyting algebra, for every completely distributive L-ordered set, the Fuzzy S-upper topology has a special base such that it looks like the usual upper topology on the set of real numbers. For every complete L-ordered set, the Fuzzy S-upper topology coincides the Fuzzy Scott topology.

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APA: Copy

Han, S.E., & LU, L.X.. (2019). A kind of fuzzy upper topology on L-preordered sets. IRANIAN JOURNAL OF FUZZY SYSTEMS, 16(1 ), 191-203. SID. https://sid.ir/paper/113246/en

Vancouver: Copy

Han S.E., LU L.X.. A kind of fuzzy upper topology on L-preordered sets. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2019;16(1 ):191-203. Available from: https://sid.ir/paper/113246/en

IEEE: Copy

S.E. Han, and L.X. LU, “A kind of fuzzy upper topology on L-preordered sets,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 16, no. 1 , pp. 191–203, 2019, [Online]. Available: https://sid.ir/paper/113246/en

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