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The Interaction between Fuzzy Subsets and Groupoids
Joint Authors
Kim, Hee Sik
Shin, Seung Joon
Neggers, J.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-18
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We discuss properties of a class of real-valued functions on a set X 2 constructed as finite (real) linear combinations of functions denoted as X , * ; μ , where X , * is a groupoid (binary system) and μ is a fuzzy subset of X and where X , * ; μ x , y ≔ μ x * y - min μ x , μ y .
Many properties, for example, μ being a fuzzy subgroupoid of X , * , can be restated as some properties of X , * ; μ .
Thus, the context provided opens up ways to consider well-known concepts in a new light, with new ways to prove known results as well as to provide new questions and new results.
Among these are identifications of many subsemigroups and left ideals of Bin X ; □ for example.
American Psychological Association (APA)
Shin, Seung Joon& Kim, Hee Sik& Neggers, J.. 2014. The Interaction between Fuzzy Subsets and Groupoids. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1048884
Modern Language Association (MLA)
Shin, Seung Joon…[et al.]. The Interaction between Fuzzy Subsets and Groupoids. The Scientific World Journal No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1048884
American Medical Association (AMA)
Shin, Seung Joon& Kim, Hee Sik& Neggers, J.. The Interaction between Fuzzy Subsets and Groupoids. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1048884
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1048884