Abstract
In this paper, an attempt is made to introduce a new defuzzification scheme to be used in case there are a number of clipped fuzzy sets in the output of a fuzzy system. Approximate reasoning with this defuzzification scheme is proposed. A number of defuzzification methods existing in literature are reviewed here. A comparative study with our method has been made. The results are illustrated with a DC shunt motor for better understanding.
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This research has been partially supported by the UGC SAP (DRS) Phase-II programme of the Department of Mathematics, Visva-Bharati. Authors appreciate the financial support of the University Grants Commission.
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References
Drainkov, D., Hellendoorn, H., Reinfrank, M.: An Introduction to Fuzzy Control. Narosa Publishing House, New Delhi (1996)
Dubois, D., Prades, H.: Fuzzy sets in approximate reasoning, part I: inference with possibility distribution. Fuzzy Sets Syst. 40, 143–202 (1991)
Yager, R.R.: Measuring tranquility and anxiety in decision making: an application of fuzzy sets. Int. J. Gen. Syst. 8, 139–146 (1982)
Mondal, B., Mazumdar, D., Raha, S.: Similarity in approximate reasoning. Int. J. Comput. Cogn. 4(3), 46–56 (2006)
Goralczany, M.B., Kiszka, J., Stachowicz, M.: Some problems of studying adequacy of fuzzy models. In: Yager, R.R., (ed.) Fuzzy Set and Possibility Theory. pp. 14–31, Pergamon Press, USA (1982)
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Pal, A., Raha, S. (2015). Specificity Based Defuzzification in Approximate Reasoning. In: Chakraborty, M.K., Skowron, A., Maiti, M., Kar, S. (eds) Facets of Uncertainties and Applications. Springer Proceedings in Mathematics & Statistics, vol 125. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2301-6_4
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DOI: https://doi.org/10.1007/978-81-322-2301-6_4
Publisher Name: Springer, New Delhi
Print ISBN: 978-81-322-2300-9
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