Applications of Category Theory to Fuzzy Subsets 1992
DOI: 10.1007/978-94-011-2616-8_7
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A Topological Universe Extension of FTS

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Cited by 12 publications
(4 citation statements)
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“…The pattern of foot placement factor, which examines the manner in which the foot is spread on the floor, refers both to all parts of the foot being in contact with the floor and the gradualness with which the different parts of the foot come in contact with the floor while transferring weight from heel to toe when walking. This is in line with Lowen’s theory that a grounded person is a person with their feet on the ground and that the grounding level corresponds to the degree to which the foot fully touches the ground ( Lowen and Lowen, 1977 ). In a previous study, it was found that the pattern in which the foot is positioned when walking is critical for maintaining physical stability ( Bruijn and van Dieën, 2018 ).…”
Section: Discussionsupporting
confidence: 87%
“…The pattern of foot placement factor, which examines the manner in which the foot is spread on the floor, refers both to all parts of the foot being in contact with the floor and the gradualness with which the different parts of the foot come in contact with the floor while transferring weight from heel to toe when walking. This is in line with Lowen’s theory that a grounded person is a person with their feet on the ground and that the grounding level corresponds to the degree to which the foot fully touches the ground ( Lowen and Lowen, 1977 ). In a previous study, it was found that the pattern in which the foot is positioned when walking is critical for maintaining physical stability ( Bruijn and van Dieën, 2018 ).…”
Section: Discussionsupporting
confidence: 87%
“…Unfortunately, many seminal and already classical papers-collected in [12], such as [13,14]-do not propose rather any remedy for this difficulty. In fact, the papers present more a classically (non-fuzzy) categorial depiction of fuzziness in different fields of mathematics, than elaborate a frame of fuzzy category theory itself.…”
Section: The Paper Motivationmentioning
confidence: 99%
“…The methodological differences between the papers collected in [12] and the papers [18,19] manifest in approaches to the issue of fuzziness in its relation to category theory. While the papers from the monograph propose mainly a kind of a categorial depiction of different -sometimes sophisticated-mathematical objects (subobjects of the so-called SM-SET algebras in [13]), spaces (fuzzy topological spaces in [14]), theorems or theories (Stone Representation Theories in [27]), the papers [18,19] give a fuzzy and multi-fuzzy modification of a purely categorial concept of natural transformation.…”
Section: The State-of-the-artmentioning
confidence: 99%
“…When the membership lattice is the unit interval [0,1], Lowen et al [21][22][23], using the concept of (prime) prefilter as a subset of [0, 1] X , studied fuzzy convergence structures on a set X. In [7], Höhle pointed out that this theory may turn out to be valid in the case of more general lattices, and he further suggested that an analogous convergence theory should be developed based on the concept of L-filters [9,10].…”
Section: Introductionmentioning
confidence: 99%