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Issue:Aggregation operator, score function and accuracy function for multicriteria decision problems in intuitionistic fuzzy context

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Title of paper: Aggregation operator, score function and accuracy function for multicriteria decision problems in intuitionistic fuzzy context
Author(s):
Shiny Jose
St. George’s College Aruvithura, Kerala, India
shinyjosedavis@gmail.com
Sunny Kuriakose
B.P.C. College Piravom, Kerala, India
asunnyk@gmail.com
Published in: "Notes on IFS", Volume 20, 2014, Number 1, pages 40-44
Download: Download-icon.png PDF (150  Kb, Info)
Abstract: The notion of Intuitionistic Fuzzy Set (IFS for short) theory by Krassimir Atanassov strikes a paradigm shift in solving decision making problems, which is one of the crucial problems in our real life. Ranking of IFS and Interval Valued Intuitionistic Fuzzy Sets (IVIFS for short) is very often required in decision making. In this paper, we develop an aggregation operator for aggregating Intuitionistic fuzzy sets as well as interval valued intuitionistic fuzzy sets. It appears to be more elegant and simple than the existing aggregation operators. We also propose a score function and an accuracy function to rank the aggregated alternatives. It is illustrated with an example.
Keywords: Intuitionistic fuzzy sets, Interval-valued intuitionistic fuzzy sets, Aggregation operator.
AMS Classification: 03E72.
References:
  1. Atanassov, K. T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 20, 1986, No. 1, 87–96.
  2. Atanassov, K. T., More on Intuitionistic fuzzy sets, Fuzzy sets and systems, Vol. 1, 1989, No. 33, 37–45.
  3. Klir, G. J., B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice Hall of India Private Limited, New Delhi, 2005.
  4. 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.
  5. Xu, Z. S., Intuitionistic fuzzy aggregation operators, IEEE Transactions on Fuzzy Systems, Vol. 15, 2007, 1179–1187.
  6. Xu, Z. S., Aggregation of intuitionistic fuzzy information: Theory and applications, Beijing: Science Press, 2008.
  7. Xu, Z. S., Methods for aggregating interval valued intuitionistic fuzzy information and their application to decision making, Control and Decision, Vol. 22, 2007, No. 2, 215–219.
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