Raju, K. V. S. V. N.; Majumdar, Arun K. The study of joins in fuzzy relational databases. (English) Zbl 0635.68116 Fuzzy Sets Syst. 21, 19-34 (1987). Summary: It is often necessary to join (naturally) two or more fuzzy relations to answer a user’s query. However, the result of a join may not be what one expects. In this paper, we study the decomposition problem of fuzzy relation schemes. We show that the algorithm proposed by A. V. Aho, C. Beeri and J. D. Ullman [ACM Trans. Database Syst. 4, 297- 314 (1979)] to test lossless join decomposition for classical relations can be applied in the fuzzy domain when particularizations are induced by functional dependencies. Cited in 11 Documents MSC: 68P20 Information storage and retrieval of data 68P05 Data structures Keywords:fuzzy databases; fuzzy relation schemes; lossless join decomposition PDFBibTeX XMLCite \textit{K. V. S. V. N. Raju} and \textit{A. K. Majumdar}, Fuzzy Sets Syst. 21, 19--34 (1987; Zbl 0635.68116) Full Text: DOI References: [1] Aho, A. V.; Berri, C.; Ullman, J. D., The theory of join in relational databases, ACM Trans. Database Systems, 4, 3, 297-314 (1979) [2] Berri, C.; Fagin, R.; Howard, J. H., A complete axiomatization for functional and multivalued dependencies in database relations, (Smith, D. C.P., Proceedings. Proceedings, ACM SIGMOD (1977)), 47-61 [3] Bernstein, P. A., Synthesizing third normal form relations from functional dependencies, ACM Trans. Database Systems, 1, 4, 277-298 (1976) [4] Buckles, B. P.; Petty, F. E., Fuzzy representation of data for relational databases, Fuzzy Sets and Systems, 7, 3, 213-226 (1982) · Zbl 0475.68059 [5] Codd, E. F., A relational model of data for large shared databanks, ACM Communications, 13, 6, 377-387 (1970) · Zbl 0207.18003 [6] Codd, E. F., Further normalization of the database relational model, (Rustin, R., Database Systems (1972), Prentice-Hall: Prentice-Hall Englewood Cliffs, NJ), 33-64 · Zbl 0809.68056 [7] Fagin, R., Multivalued dependencies and a new normal form for relational databases, ACM Trans. Database System, 2, 3, 262-278 (1977) [8] Prade, H.; Testemale, C., Generalizing database relational algebra for the treatment of incomplete and uncertain information and vague queries, Information Science, 34, 115-143 (1984) · Zbl 0552.68082 [9] Maier, D.; Mendelzon, A. O.; Sagiv, Y., Testing implications of data dependencies, ACM Trans. Database Systems, 4, 4, 455-469 (1979) [10] Raju, K. V.S. V.N.; Majumdar, A. K., Fuzzy functional dependencies in fuzzy relations, (communicated to IEEE Computer Society’s Second Data Engineering Conference (Dec. 1985)) · Zbl 0635.68116 [11] Rissanen, J., Independent components of relations, ACM Trans. Database Systems, 2, 4, 317-325 (1977) [12] Ullman, J. D., Principles of Database Systems (1984), Galgotia Publications: Galgotia Publications India [13] Umno, M., Freedom-O: A fuzzy database systems, (Gupta, M. M.; Sanchez, E., Fuzzy Information and Decision Processes (1982), North-Holland: North-Holland Amsterdam), 339-347 [14] Zadeh, L. A., Fuzzy sets, (Belzer, J.; Holzman, A.; Kenit, A., Encyclopedia of Computer Science and Technology, Vol. 8 (1977), Marcel Dekker: Marcel Dekker New York), 325-351 · Zbl 0139.24606 [15] Zadeh, L. A., Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems, 1, 1, 3-28 (1978) · Zbl 0377.04002 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.