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Ranking fuzzy numbers with an area method using circumcenter of centroids

Author

Listed:
  • P. Phani Bushan Rao

    (GITAM University)

  • N. Ravi Shankar

    (GITAM University)

Abstract

This paper proposes a new method for ranking fuzzy numbers based on the area between circumcenter of centroids of a fuzzy number and the origin. The proposed method not only uses an index of optimism, which reflects the decision maker’s optimistic attitude but also makes use of an index of modality which represents the importance of mode and spreads. This method ranks various types of fuzzy numbers which includes normal, generalized trapezoidal and triangular fuzzy numbers along with crisp numbers which are a special case of fuzzy numbers. Some numerical examples are presented to illustrate the validity and advantages of the proposed method.

Suggested Citation

  • P. Phani Bushan Rao & N. Ravi Shankar, 2013. "Ranking fuzzy numbers with an area method using circumcenter of centroids," Fuzzy Information and Engineering, Springer, vol. 5(1), pages 3-18, March.
    • Handle: RePEc:spr:fuzinf:v:5:y:2013:i:1:d:10.1007_s12543-013-0129-1
    DOI: 10.1007/s12543-013-0129-1
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    References listed on IDEAS

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    1. Zhong-xing Wang & Ya-ni Mo, 2010. "Ranking fuzzy numbers based on ideal solution," Fuzzy Information and Engineering, Springer, vol. 2(1), pages 27-36, March.
    2. Amit Kumar & Pushpinder Singh & Amarpreet Kaur & Parmpreet Kaur, 2010. "RM approach for ranking of generalized trapezoidal fuzzy numbers," Fuzzy Information and Engineering, Springer, vol. 2(1), pages 37-47, March.
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    Cited by:

    1. Uzhga-Rebrov Oleg & Kuleshova Galina, 2015. "Operating with Fuzzy Probability Estimates in Decision Making Processes with Risk," Information Technology and Management Science, Sciendo, vol. 18(1), pages 109-114, December.
    2. Mojtaba Ghanbari & Rahele Nuraei, 2013. "Note on new solutions of LR fuzzy linear systems using ranking functions and ABS algorithms," Fuzzy Information and Engineering, Springer, vol. 5(3), pages 317-326, September.

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