QUANTALE-VALUED SUP-ALGEBRAS

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SLESINGER RADEK

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Journal Paper

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Journal: Iranian Journal of Fuzzy Systems Year:2018 | Volume:15 | Issue:2 Page(s): 53-73

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Information Journal Paper

Title

QUANTALE-VALUED SUP-ALGEBRAS

Author(s)

SLESINGER RADEK | Issue Writer Certificate

Keywords

Q-ORDERQ2

Q-SUP-LATTICEQ2

Q-ORDERED ALGEBRAQ2

Q-SUP-ALGEBRAQ2

QUOTIENTQ2

SUBALGEBRAQ2

Abstract

Based on the notion of Q-SUP-LATTICEs (a fuzzy counterpart of complete join-semilattices valuated in a commutative quantale), we present the concept of Q-SUP-ALGEBRAs–Q-sup-lattices endowed with a collection of fini-tary operations compatible with the fuzzy joins. Similarly to the crisp case investigated in [30], we characterize their SUBALGEBRAs and QUOTIENTs, and following [20], we show that the category of Q-SUP-ALGEBRAs is isomorphic to a certain subcategory of a category of Q-modules.

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APA: Copy

. (2018). QUANTALE-VALUED SUP-ALGEBRAS. IRANIAN JOURNAL OF FUZZY SYSTEMS, 15(2 ), 53-73. SID. https://sid.ir/paper/113227/en

Vancouver: Copy

. QUANTALE-VALUED SUP-ALGEBRAS. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2018;15(2 ):53-73. Available from: https://sid.ir/paper/113227/en

IEEE: Copy

, “QUANTALE-VALUED SUP-ALGEBRAS,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 15, no. 2 , pp. 53–73, 2018, [Online]. Available: https://sid.ir/paper/113227/en

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