Abstract
Object identity and equality are important issues in object-oriented database management systems. In this paper we investigate object identity, equality and relational concept in OMEGA; an object-oriented multimedia database management system under development at the University of Library and Information Science. It is shown that, in addition to the traditional object identity and equality such as the equivalence, the shallow-equal and the deep-equal, three types of new object equalities are necessarily introduced from the real world data modeling point of view. These are the trivial-equal, the referential-equal and the arbitrary-equal. Based on this result, various types of object equalities existing in the real world can be modeled in OMEGA. The contents equality, the object similarity, the substantial identity and the relational identity are such examples. Because object identity and equality are equivalence relations, quotient classes can be defined with respect to them, which also provide a very powerful tool for modeling the real world.
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