Abstract
In 1982, Pawlak proposed the concept of rough sets with practical purpose of representing indiscernibility of elements. Even it is easy to analyze, the rough set theory built on a partition induced by equivalence relation may not provide a realistic view of relationships between elements in the real-world application. Here, coverings of, or non-equivalence relations on, the universe can be considered to represent a more realistic model instead of partition in which a generalized model of rough sets was proposed. In this paper, based on α-coverings of the universe, a generalized concept of rough membership functions is proposed and defined into three values, minimum, maximum and average. Their properties are examined.
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Intan, R., Mukaidono, M. (2002). Generalization of Rough Membership Function Based on α-Coverings of the Universe. In: Pal, N.R., Sugeno, M. (eds) Advances in Soft Computing — AFSS 2002. AFSS 2002. Lecture Notes in Computer Science(), vol 2275. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45631-7_18
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DOI: https://doi.org/10.1007/3-540-45631-7_18
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