| Title of paper:
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Note on multiattribute decision making in intuitionistic fuzzy context
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| Author(s):
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| Shiny Jose
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| St. George’s College Aruvithura, Kerala, India
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| shinyjosedavis@gmail.com
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| Sunny Kuriakose
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| B. P. C. College Piravom, Kerala, India
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| asunnyk@gmail.com
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| Published in:
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"Notes on IFS", Volume 19, 2013, Number 1, pages 48—53
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| Download:
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 PDF (159 Kb, File info)
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| Abstract:
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Zhi Pei and Li Zheng [8], introduced a particular score function and an accuracy function to rank intuitionistic fuzzy sets (IFSs). They considered the degree of membership, degree of non membership and degree of hesitation with descending order of importance. We further recall an optimization model to estimate the relative degree of importance of each quantity given by the above mentioned authors. In this paper we identify certain anomalies in the accuracy function given in [8], we propose a new accuracy function and a revised optimization model.
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| Keywords:
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Intuitionistic fuzzy sets, Score function, Accuracy function.
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| AMS Classification:
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03E72
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| References:
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- Atanassov, K. T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 20, 1986, No. 1, 87–96.
- Atanassov, K. T., More on Intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 1, 1989, No. 33, 37–45.
- Klir, G. J., B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice Hall of India Private Limited, New Delhi, 2005.
- Lakshmana Gomathi Nayagam, V., Venkateshwari, G., Geetha Sivaraman, Ranking of intuitionistic fuzzy numbers, Proceedings of the IEEE international conference on fuzzy systems (IEEE FUZZ 2008), 1971–1974.
- Xu, Z. S., Yager, R. R., Some geometric aggregation operators based on intuitionistic fuzzy environment, International Journal of General Systems, Vol. 33, 2006, 417–433.
- Xu, Z. S., Intuitionistic fuzzy aggregation operators, IEEE Transactions on Fuzzy Systems, Vol. 15, 2007, 1179–1187.
- Xu, Z. S., Aggregation of intuitionistic fuzzy information: Theory and applications, Science Press, Beijing, 2008.
- Zhi Pei, Li Zheng, A novel approach to multi-attribute decision making based on intuitionistic fuzzy sets, Expert systems with applications, Vol. 39, 2012, 2560–2566.
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