| Title of paper:
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Optimal weighting method for interval-valued intuitionistic fuzzy opinions
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| Author(s):
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| M. El Alaoui
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| Department of Production and Industrial Engineering, Moulay Ismail University,, Meknes, Morocco
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| mohamedelalaoui208@gmail.com
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| H. Ben-Azza
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| Department of Production and Industrial Engineering, Moulay Ismail University,, Meknes, Morocco
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| hbenazza@yahoo.com
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| K. El Yassini
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| IA Laboratory, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco
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| Khalid.ElYassini@gmail.com
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 24, 2018, Number 3, pages 106—110
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| DOI:
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https://doi.org/10.7546/nifs.2018.24.3.106-110
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| Download:
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 PDF (194 Kb, File info)
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| Abstract:
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In this work, we propose a method to achieve consensus in a group decision making situation, where the opinions are described by interval-valued intuitionistic fuzzy sets. Optimality is achieved by minimizing weighed incoherencies. An illustrative example is proposed.
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| Keywords:
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Optimal weighing, Intuitionistic fuzzy set, Interval-valued intuitionistic fuzzy set.
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| AMS Classification:
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03E72, 90B50.
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| References:
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- Atanassov, K. (1983) Intuitionistic fuzzy sets, VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6.
- Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96.
- Atanassov, K. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag Heidelberg.
- Atanassov, K., & Gargov, G. (1989) Interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 31, 343–349.
- Hsu, H. M., & Chen, C. T. (1996) Aggregation of fuzzy opinions under group decision making, Fuzzy Sets and Systems, 79, 279285.
- Koczy, T. L., & Tikk, D. (2000) Fuzzy rendszerek, Budapest.
- Lee, H. S. (2002) Optimal consensus of fuzzy opinions under group decision making environment, Fuzzy Sets and Systems, 132, 303–15.
- Lu, C., Lan, J., & Wang, Z. (2006) Aggregation of Fuzzy Opinions Under Group Decision- Making Based on Similarity and Distance, J. Syst. Sci. Complex., 19, 63–71.
- Santini, S., & Jain, R. (1997) Similarity is a Geometer, Multimed. Tools Appl, 5, 277–306.
- Williams, J., & Steele, N. (2002) Difference, distance and similarity as a basis for fuzzy decision support based on prototypical decision classes, Fuzzy Sets and Systems, 131, 35– 46.
- Xu, Z., & Cai X. (2012) Intuitionistic Fuzzy Information Aggregation: Theory and Applications, Springer-Verlag, Berlin Heidelberg.
- Yue, Z. (2011) Deriving decision makers weights based on distance measure for intervalvalued intuitionistic fuzzy group decision making, Expert Syst. Appl. 38 (9), 11665–11670.
- Zadeh, L. A. (1965) Fuzzy sets, Information and Control, 8, 338–53.
- Zhang, X., & Xu, Z. (2015) Soft computing based on maximizing consensus and fuzzy TOPSIS approach to interval-valued intuitionistic fuzzy group decision making, Appl. Soft Comput., 26, 42–56.
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