| Title of paper:
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On properties of some IFS operators and operations
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| Author(s):
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| Qiongsun Liu
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| College of Mathematics and Physics, Chongqing University, Chongqing 400044, PR China
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| Cui Ma
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| College of Mathematics and Physics, Chongqing University, No.174, Shazheng Road, Shapingba District, Chongqing 400044, PR China
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| macui4956@163.com
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| Xiandong Zhou
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| College of Mathematics and Physics, Chongqing University, Chongqing 400044, PR China
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| Published in:
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"Notes on IFS", Volume 14 (2008) Number 3, pages 17—24
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| Download:
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 PDF (148 Kb, File info)
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| Abstract:
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The aim of this paper is to point out and correct some errors of two theorems for IFSs in Atanassov (Two theorems for intuitionistic fuzzy sets, Fuzzy Sets and Systems, 2000) and bring forward a new theorem for IFSs. In the end, some elementary, but non-standard equalities between IFSs were formulated.
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| Keywords:
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Fuzzy sets, Intuitionistic fuzzy set (IFS), Operator, Operation
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| References:
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- K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20(1986) 87-96.
- K. Atanassov, More on intuitionistic fuzzy sets, Fuzzy Sets and Systems 33(1) (1989) 37-46.
- K. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems 61(2) (1994) 137-142.
- K. Atanassov, Remarks on the intuitionistic fuzzy sets. Part 3, Fuzzy Sets and Systems 75(1995) 401-402.
- K. Atanassov, An equality between intuitionistic fuzzy sets, Fuzzy Sets and Systems 79 (1996) 257-258.
- K. Atanassov, Two theorems for intuitionistic fuzzy sets, Fuzzy Sets and Systems 110 (2000) 267-269.
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- Dengfeng, Li, Chuntian, Chen, New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions. Pattern Recognition Letters. 23 (2002) 221-225.
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- D. Dubois, S. Gottwald, P. Hajek, J. Kacprzyk, H. Prade, Are (Atanassov's) intuitionistic fuzzy sets intuitionistic, Fuzzy Sets and Systems, to appear.
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| Citations:
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