On Monoids in the Category of Sets and Relations
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DOI: 10.1007/s10773-017-3304-z
Abstract: The category Rel is the category of sets (objects) and relations (morphisms). Equipped with the direct product of sets, Rel is a monoidal category. Moreover, Rel is a locally posetal 2-category, since every homset Rel(A,B)… read more here.
Keywords: category; monoids category; category sets; sets relations ... See more keywords
Qualitative motivation with sets and relations
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DOI: 10.3389/fpsyg.2022.993660
Abstract: In self-determination theory (SDT), multiple conceptual regulations of motivation are posited. These forms of motivation are especially qualitatively viewed by SDT researchers, and there are situations in which combinations of these regulations occur. In this… read more here.
Keywords: qualitative motivation; regulation; motivation; motivation sets ... See more keywords
Quantales for Fuzzy Sets and Relations of Higher Types
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DOI: 10.3390/math13132159
Abstract: In this paper, we open up more possibilities to define higher types of fuzzy sets in a mixed way. In doing so, we show that there are essentially two alternative definitions for fuzzy sets of… read more here.
Keywords: higher types; sets relations; quantales fuzzy; logic ... See more keywords