CHARACTERIZATION OF L-FUZZIFYING MATROIDS BY L-FUZZIFYING CLOSURE OPERATORS

Author(s):

L. Wang , F. G. Shi

Abstract:
An L-fuzzifying matroid is a pair (E, I), where I is a map from 2E to L satisfying three axioms. In this paper, the notion of closure operators in matroid theory is generalized to an L-fuzzy setting and called L-fuzzifying closure operators. It is proved that there exists a one-to-one correspondence between L-fuzzifying matroids and their L-fuzzifying closure operators.
Language:
English
Published:
Iranian journal of fuzzy systems, Volume:7 Issue: 1, Feb 2010
Pages:
47 to 58
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