Title of paper:
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Inequalities with intuitionistic fuzzy topological and Gokhan Çuvalcioğlu's operators
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Author(s):
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Eulalia Szmidt
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Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01—447 Warsaw, Poland
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szmidt@ibspan.waw.pl
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Janusz Kacprzyk
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Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01—447 Warsaw, Poland
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kacprzyk@ibspan.waw.pl
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Presented at:
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12th ICIFS, Sofia, 17—18 May 2008
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Published in:
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Conference proceedings, "Notes on IFS", Volume 14 (2008) Number 1, pages 48—56
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Download:
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PDF (166 Kb, File info)
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Abstract:
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We propose a method for ranking alternatives represented by Atanassov's intuitionistic fuzzy sets (A-IFSs) which takes into account not only the amount of information related to an alternative (expressed by a distance from the ideal positive alternative) but also the reliability of information (how sure the information is). We stress (like in our previous papers) that taking into account all three functions (membership, non-membership and hesitation) in the description of A-IFSs is the necessary condition to obtain results we intuitively expect.
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Keywords:
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Intuitionistic fuzzy set
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References:
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- Szmidt E. and Kacprzyk J. (2005) A New Concept of a Similarity Measure for Intuitionistic Fuzzy Sets and its Use in Group DecisionMaking. In V. Torra, Y. Narukawa, S. Miyamoto (Eds.): Modelling Decisions for Artificial Intelligence. LNAI 3558, 272—282.
- Szmidt E. and Kacprzyk J. (2006) Distances Between Intuitionistic Fuzzy Sets: Straightforward Approaches may not work. IEEE IS’06, 716—721.
- Szmidt E. and Kacprzyk J. (2006) An Application of Intuitionistic Fuzzy Set Similarity Measures to a Multi-criteria Decision Making Problem. ICAISC 2006, LNAI 4029, Springer-Verlag, 314—323.
- Szmidt E. and Kacprzyk J. (2007). Some problems with entropy measures for the Atanassov intuitionistic fuzzy sets. Applications of Fuzzy Sets Theory. LNAI 4578, 291—297. Springer-Verlag.
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