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What is Fuzzy Value Equivalent (FVEQ)

Handbook of Research on Fuzzy Information Processing in Databases
Fuzzy Value Equivalent (FVEQ): Let A and B be two fuzzy sets with their membership functions and respectively. A fuzzy value is said to be equivalent to some other fuzzy value , for some , where is the set of crisp values that are returned by , where is the inverse of the membership function of fuzzy set A.
Published in Chapter:
Fuzzy Inclusion Dependencies in Fuzzy Databases
Awadhesh Kumar Sharma (MMM Engg College, Gorakhpur, UP, India), A. Goswami (I.I.T., Kharagpur, India), and D. K. Gupta (I.I.T., Kharagpur, India)
Copyright: © 2008 |Pages: 27
DOI: 10.4018/978-1-59904-853-6.ch026
Abstract
In this chapter, the concept of fuzzy inclusion dependencies (FIDas) in fuzzy databases is introduced and inference rules on such FIDas are derived. These FIDas may arise while putting efforts to integrate fuzzy relational databases into a fuzzy relational multidatabase. Since the concept of FIDas itself is new, no work has been done as yet for its discovery in fuzzy relational databases. Hence, an algorithm has been proposed for the discovery of FIDas that may exist between two given fuzzy relations stored in one or more fuzzy relational databases. The existence of such an FIDa will indicate that the two relations are relevant for integration during the course of integration of fuzzy databases.
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