IJPAM: Volume 70, No. 3 (2011)
Department of Mathematics
P.O. Box 566, Irbid, 21163, JORDAN
Abstract. Greedoid theory has several intresting applications in system analysis, operations research and economics. Since most of the time the aspects of greedoid problems are uncertain, it is nice to deal with these aspects via the methods of fuzzy logic. In this paper, we introduce the notions of fuzzy feasible sets and fuzzy greedoids providing several examples. We show that the levels of the fuzzy greedoids introduced are indeed crisp greedoids. Moreover, we study some fuzzy greedoid preserving operations.
Received: August 14, 2010
AMS Subject Classification: 05B35, 93C42
Key Words and Phrases: fuzzy greedoid, fuzzy feasible, fuzzy matroid
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395