Fuzzy universal algebras on L-sets

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WEI X.; YUE Y.

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Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2019 | Volume:16 | Issue:4 Page(s): 175-187

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Information Journal Paper

Title

Fuzzy universal algebras on L-sets

Author(s)

WEI X. | YUE Y. | Issue Writer Certificate

Keywords

L-valued relationQ2

congruenceQ2

subalgebraQ2

homomorphismQ2

L-valued power algebraQ2

Abstract

This paper attempts to generalize universal algebras on classical sets to L-sets when L is a GL-quantale. Some basic notions of fuzzy universal algebra on an L-set are introduced, such as subalgebra, quotient algebra, homomorphism, congruence, and direct product etc. The properties of them are studied. L-valued power algebra is also introduced and it is shown there is an onto homomorphism from P(A)/R+ to P(A/R) for any congruence R on L-set A.

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APA: Copy

WEI, X., & YUE, Y.. (2019). Fuzzy universal algebras on L-sets. IRANIAN JOURNAL OF FUZZY SYSTEMS, 16(4 ), 175-187. SID. https://sid.ir/paper/113446/en

Vancouver: Copy

WEI X., YUE Y.. Fuzzy universal algebras on L-sets. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2019;16(4 ):175-187. Available from: https://sid.ir/paper/113446/en

IEEE: Copy

X. WEI, and Y. YUE, “Fuzzy universal algebras on L-sets,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 16, no. 4 , pp. 175–187, 2019, [Online]. Available: https://sid.ir/paper/113446/en

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