Abstract
In 1971, Azriel Rosenfeld wrote his seminal paper on fuzzy subgroups, [52]. This paper led to a new area in abstract algebra as well as a new area in fuzzy mathematics. Hundreds of papers examining various fuzzy substructures of algebraic structures have since appeared in the literature. In this chapter, we examine those fuzzy substructures which have applications or strong potential for applications outside of mathematics, namely computer science or engineering. We emphasize that the nature of fuzzy abstract algebra differs from that of the algebra of fuzzy numbers such as triangular fuzzy numbers and others.
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Mordeson, J.N., Nair, P.S. (2001). Fuzzy Abstract Algebra. In: Fuzzy Mathematics. Studies in Fuzziness and Soft Computing, vol 20. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1808-6_6
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DOI: https://doi.org/10.1007/978-3-7908-1808-6_6
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