| Title of paper:
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Generalized Atanassov's intuitionistic fuzzy index. Construction method
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| Author(s):
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| Edurne Barrenechea
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| Dpt. Automática y Computación, Universidad Pública de Navarra, Campus de Arrosadía, s/n, 31006 Pamplona (Spain)
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| edurne.barrenechea@unavarra.es
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| Humberto Bustince
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| Dpt. Automática y Computación, Universidad Pública de Navarra, Campus de Arrosadía, s/n, 31006 Pamplona (Spain)
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| bustince@unavarra.es
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| Miguel Pagola
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| Dpt. Automática y Computación, Universidad Pública de Navarra, Campus de Arrosadía, s/n, 31006 Pamplona (Spain)
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| miguel.pagola@unavarra.es
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| Javier Fernandez
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| Dpt. Automática y Computación, Universidad Pública de Navarra, Campus de Arrosadía, s/n, 31006 Pamplona (Spain)
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| fcojavier.fernandez@unavarra.es
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| Josean Sanz
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| Dpt. Automática y Computación, Universidad Pública de Navarra, Campus de Arrosadía, s/n, 31006 Pamplona (Spain)
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| joseantonio.sanz@unavarra.es
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| Presented at:
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Joint 2009 International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference, Lisbon, Portugal, July 20-24, 2009
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| Published in:
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Conference proceedings, pages 478-482
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| Download:
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 PDF (168 Kb, File info)
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| Abstract:
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In this work we introduce the concept of Generalized Atanassov's Intuitionistic Fuzzy Index. We characterize it in terms of
fuzzy implication operators and we propose a construction method with automorphisms. Finally, we study some special properties of the generalized Atanassov’s intuitionistic fuzzy index.
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| Keywords:
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Atanassov's Intuitionistic Fuzzy Index, Fuzzy Implication Operator, Automorphisms
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| References:
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- K. T. Atanassov. Intuitionistic fuzzy sets. In: V. Sgurev, ed., VII ITKR’s Session, Sofia, June 1983 (deposed in Central Science and Technical Library, Bulgarian Academy of Sciences, 1697/84, in Bulgarian).
- K. T. Atanassov. Intuitionistic Fuzzy Sets. Fuzzy Sets and Systems,20:87–96, 1986.
- K. Atanassov, G. Gargov. Elements of Intuitionistic Fuzzy Logic. Part I. Fuzzy Sets and Systems,95:39-52, 1998.
- P. Burillo, H. Bustince. Orderings in the referential set induced by an intuitionistic fuzzy relation. Notes on Intuitionistic Fuzzy Sets, 1:93-103, 1995.
- H. Bustince, P. Burillo, V.Mohedano. About Intuitionistic Fuzzy Implication Operators. JCIS 2002, Research Triangle Park, 109–113, North Carolina, USA, 2002.
- H. Bustince, P. Burillo, F. Soria. Automorphisms, Negations and Implication Operators. Fuzzy Sets and Systems, 134:209-229, 2003.
- H. Bustince, E. Barrenechea, V. Mohedano. Intuitionistic Fuzzy Implication Operators. An expression and main properties. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 12(3):387–406, 2004.
- H. Bustince, V. Mohedano, E. Barrenechea, M. Pagola. A study of the Intuitionistic Fuzzy S-Implication. First Properties. Procesos de Toma de Decisiones, modelado y Agregaci´on de Preferencias, 141–150, Eds.:E. Herrera-Viedma, 2005.
- H. Bustince, M. Pagola, P. Melo-Pinto, E. Barrenechea, P. Couto, Image Threshold Computation by modelizing Knowledge/Unknowledge by means of Atanassov’s Intuitionistic Fuzzy Sets. Fuzzy Sets and Their Extensions: Representation, Aggregation and Models. Intelligent Systems from Decision Making to Data Mining, Web Intelligence and Computer Vision, 621–638, Eds.: H. Bustince, F. Herrera, J. montero, (Springer-Verlag), 2008.
- H. Bustince, E. Barrenechea, M. Pagola. Generation of interval-valued fuzzy and Atanassov’s intuitionistic fuzzy connectives from fuzzy connectives and from Kα operators: Laws for conjunctions and disjunctions, amplitude. International Journal of Intelligent Systems, 23(6):680-714, 2008.
- H. Bustince, E. Barrenechea, M. Pagola, J. Fernandez, J. Olagoitia, P. Melo-Pinto, P. Couto. Contrast computing using Atanassov’s intuitionistic fuzzy sets. In Proc. 8th International FLINS Conference on Computational Intelligence in Decision and Control ,Madrid: 259–264, 2008.
- C. Cornelis, G. Deschrijver. The Compositional Rule of Inference in an Intuitionistic Fuzzy Logic Setting. In Proc. 6th ESSLLI Students Session, 2001.
- C. Cornelis, G. Deschrijver, E. Kerre. Classification of Intuitionistic Fuzzy Implicators: an Algebraic Approach. In Proc. 6th Joint Conf. Information Sciences, Research Triangle Park, USA: 105–108, 2002.
- G. Deschrijver, C. Cornelis, E. Kerre. On the representation of intuitionistic fuzzy t-norms and t-conorms. IEEE Transactions on Fuzzy Systems, 12(1):45-61, 2004.
- J. Fodor, M. Roubens. Fuzzy Preference Modelling and Multicriteria Decision Support. Theory and Decision. Kluwer Academic Publishers, 1994.
- A. Pankowska, M. Wygralak. On hesitation degrees in IF-set theory. In: LNAI 3070, Springer, 338–343, 2004.
- A. Pankowska, M. Wygralak. General If-sets with triangular norms and their applications to group decision making. Information Sciences, 176:2713–2754, 2006.
- P. Smets, P. Magrez. Implication in fuzzy logic. International Journal of Approximate Reasoning, 1:327-347, 1987.
- E. Trillas. Sobre funciones de negación en la teoría de conjuntos difusos. Stochastica, III(1):47-59, 1979 (in Spanish). Reprinted (English version) in: Advances of Fuzzy Logic. S. Barro et altri-Universidad de Santiago de Compostela, 31-43,1998.
- E. Trillas, C. Alsina, J.M. Terricabras. Introducción a la lógica borrosa, ArielMatemática, 1995.
- M. Wygralak. Representing incomplete knowledge about fuzzy sets. In Proc. 5th Eusflat Conf., Ostrava, Czech Rep.: Vol.II, 287–292, 2007.
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