Abstract
In this paper, we proposed a new ranking method for intuitionistic fuzzy numbers (IFNs) by using centroid and circumcenter of membership function and non-membership function of the intuitionistic fuzzy number. The method utilizes the midpoint of the circumcenter of membership and non-membership function of intuitionistic fuzzy number to define the ranking function for IFN satisfying the general axioms of ranking functions. The developed method has been illustrated by some examples and is compared with some existing ranking method to show its suitability.
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Acknowledgments
The authors are thankful to University Grants Commission (UGC), Government of India, and DST-CIMS, Banaras Hindu University, for financial support to carry out this research work.
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Nishad, A.K., Bharati, S.K., Singh, S.R. (2014). A New Centroid Method of Ranking for Intuitionistic Fuzzy Numbers. In: Babu, B., et al. Proceedings of the Second International Conference on Soft Computing for Problem Solving (SocProS 2012), December 28-30, 2012. Advances in Intelligent Systems and Computing, vol 236. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1602-5_17
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DOI: https://doi.org/10.1007/978-81-322-1602-5_17
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