Fuzzy logic and enriched categories

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Dautovic S.; Zekic M.

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ISSN: 2588-4824

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Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2021 | Volume:18 | Issue:3 Page(s): 1-11

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Information Journal Paper

Title

Fuzzy logic and enriched categories

Author(s)

Dautovic S. | Zekic M. | Issue Writer Certificate

Keywords

Product fuzzy logicQ2

Godel fuzzy logicQ2

Lukasiewicz fuzzy logicQ2

t-normQ2

bicartesian closed V-enriched categoryQ2

self-enriched categoryQ2

Abstract

We consider a category C enriched over the segment [0; 1] whose hom-objects are real numbers from [0; 1]. For a suitably defined function ^v assigning to each formula ' some object of C, the hom-object C(^v('); ^v( )) represents the degree of derivability ofψ from φ. We reformulate completeness result for intuitionistic propositional logic, as well as H ajek's completeness results concerning the product, G odel and Lukasiewicz fuzzy logic in the context of enriched category theory.

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APA: Copy

Dautovic, S., & Zekic, M.. (2021). Fuzzy logic and enriched categories. IRANIAN JOURNAL OF FUZZY SYSTEMS, 18(3 ), 1-11. SID. https://sid.ir/paper/413131/en

Vancouver: Copy

Dautovic S., Zekic M.. Fuzzy logic and enriched categories. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2021;18(3 ):1-11. Available from: https://sid.ir/paper/413131/en

IEEE: Copy

S. Dautovic, and M. Zekic, “Fuzzy logic and enriched categories,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 18, no. 3 , pp. 1–11, 2021, [Online]. Available: https://sid.ir/paper/413131/en

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