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http://ifigenia.org/wiki/issue:nifs/8/1/28-33
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| Title of paper:
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Cut sets of intuitionistic fuzzy sets
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| Author(s):
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| Li Min
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| Liaoning College of Taxation, Dalian 116023, P.R. China
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 8 (2002), Number 1, pages 28—33
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| Download:
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 PDF (3636 Kb, File info)
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| Abstract:
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In this paper, the definitions of cut sets on intuitionistic fuzzy sets are given. Properties of cut sets, decomposition theorem, representation theorem of intuitionistic fuzzy sets are discussed. It is proved that A is a intuitionistic fuzzy subset of a group G if and only if cut sets of A are subgroup of G.
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| Keywords:
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Intuitionistic fuzzy sets; cut sets; decomposition theorem; representation theorem; intuitionistic fuzzy subgroups.
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| References:
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- K.T. Atanassov. Intuitionistic fuzzy Sets.Fuzzy Sets and Systems 20(1986) 87—96.
- R. Biswas. Intuitionistic fuzzy subgroups. Notes on IFS, Vol. 3 No. 2 (1997) 53 - 60
- A. Rosenfeld. Fuzzy subgroups. J. Math. Anal. Appl, 35(1971) 512 — 517
- D. Dubois and H. Prade Fuzzy sets and systems — Theory and Applications. Academic Press, New York, 1980.
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