C-continuous fuzzy posets

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Zhang Y.J.; ZHAO B.

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Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2021 | Volume:18 | Issue:3 Page(s): 67-80

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Information Journal Paper

Title

C-continuous fuzzy posets

Author(s)

Zhang Y.J. | ZHAO B. | Issue Writer Certificate

Keywords

CategoryQ2

Q-orderQ2

Scott Q-cotopologyQ2

C-continuityQ2

Abstract

In this paper, we develop the C-continuity via Scott Q-cotopological spaces, where Q is a commutative and integral quantale. The main results are: (1) The set of all C-compact elements of a complete Q-ordered set is irreducible complete; (2) The Scott Q-cotopology of a Q-ordered set under the fuzzy inclusion order is C-continuous, even C-prealgebraic; (3) We establish an adjunction between the Category of irreducible complete Q-ordered sets and the Category of C-prealgebraic complete Q-ordered sets.

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APA: Copy

Zhang, Y.J., & ZHAO, B.. (2021). C-continuous fuzzy posets. IRANIAN JOURNAL OF FUZZY SYSTEMS, 18(3 ), 67-80. SID. https://sid.ir/paper/415547/en

Vancouver: Copy

Zhang Y.J., ZHAO B.. C-continuous fuzzy posets. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2021;18(3 ):67-80. Available from: https://sid.ir/paper/415547/en

IEEE: Copy

Y.J. Zhang, and B. ZHAO, “C-continuous fuzzy posets,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 18, no. 3 , pp. 67–80, 2021, [Online]. Available: https://sid.ir/paper/415547/en

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