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Hyperfuzzy subsets and subgroupoids

Title
Hyperfuzzy subsets and subgroupoids
Author
김희식
Keywords
Bin(X); hyperfuzzy subset; (fuzzy ,contra-fuzzy ,reverse-fuzzy ,reverse-contra fuzzy) subgroupoid; convex hull
Issue Date
2017-09
Publisher
IOS PRESS
Citation
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, v. 33, no. 3, page. 1553-1562
Abstract
In this paper, the authors extend the theory of groupoids already developed for semigroups (Bin(X), square) in a growing number of research papers with X a set and Bin(X) the set of groupoids (binary systems) defined on X to the generalizations: fuzzy (sub) groupoids (largely known as used here) and hyperfuzzy (sub) groupoids (largely novel as used here), showing (1) there are natural processes and (2) new results of interest can be obtained, including the existence of new parameters which on their collapse from hyperfuzzy (sub) groupoids to groupoids yield known results in some cases and new ones otherwise as well. Overall, the future for successful research in this area looks quite promising as noted in the paper itself.
URI
https://content.iospress.com/articles/journal-of-intelligent-and-fuzzy-systems/ifs17104https://repository.hanyang.ac.kr/handle/20.500.11754/115610
ISSN
1064-1246; 1875-8967
DOI
10.3233/JIFS-17104
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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