Abstract
In this paper, we define a generalization of what it means to be a semiring, i.e., the class of LD-bigroupoids with companion classes RD-bigroupoids and D-bigroupoids. After development of several basic ideas we consider the fuzzified versions of these algebraic systems and we investigate how theideas developed for LD-bigroupoids carry over into the realm of fuzzy LD-bigroupoids, yielding a generalization of the theory of fuzzy semirings. The results obtained demonstrate that it is quite possible to take these ideas much further as we expect with happen in the future.
2000 Mathematics Subject Classification. 03E72, 16Y60.
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© 2012 Springer-Verlag GmbH Berlin Heidelberg
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Kim, H.S., Neggers, J. (2012). On Fuzzy LD-Bigroupoids. In: Fuzzy Semirings with Applications to Automata Theory. Studies in Fuzziness and Soft Computing, vol 278. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27641-5_9
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DOI: https://doi.org/10.1007/978-3-642-27641-5_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-27640-8
Online ISBN: 978-3-642-27641-5
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