On unification of categories associated with F -transforms and fuzzy pretopological spaces as Qua category

Abha Tripathi; S. P. Tiwari

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arXiv · 2505.02535

On unification of categories associated with F -transforms and fuzzy pretopological spaces as Qua category

Abha Tripathi·S. P. Tiwari

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Abstract

In this contribution, our motive is to unify the categories associated with F-transforms and fuzzy pretopological spaces as a new category Qua, whose object classes are success measurements of answers and morphisms are pairs of success measurements of transformations. Specifically, the categories of spaces with L-valued fuzzy partitions, L-valued fuzzy lower transformation systems, L-valued fuzzy pretopological spaces, and Cech L-valued fuzzy interior spaces with the morphisms as pairs of L-valued fuzzy relations between the underlying sets of corresponding objects have intriguing relationships with the category Qua.

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Abha Tripathi, S. P. Tiwari. 2025-05-05. On unification of categories associated with F -transforms and fuzzy pretopological spaces as Qua category. https://arxiv.org/abs/2505.02535

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