A Novel Fuzzy Modifier Interpolation Rule for Computing With Words
Computing with Words(CW) is a concept that is used to solve problems with input in natural language. Modifiers are transformation functions with predefined labels used extensively in the decision making systems to specify the desired value of a linguistic variable defined by fuzzy sets.
In previous works, significant effort has been made to study the application of CW in many domains ranging from fraud detection systems to diagnosis systems in medicine. However, the application of CW in these fields with modified fuzzy sets didn't give satisfactory results. The existing interpolation rule, when applied to modified fuzzy sets, does not take care of the extreme left and extreme right-shifted fuzzy sets. Hence, there is a need to introduce a new interpolation rule when working with modifiers. In this paper, we propose a new Fuzzy Modifier Interpolation Rule to Type-1 Fuzzy sets and Interval Type-2 Fuzzy Sets to enhance the quality of results obtained when modifiers are applied.
L. A. Zadeh, “The concept of a linguistic variable and its application to approximate reasoning—I,” Inform. Sci., vol. 8, pp. 199–249, 1975.
“Type-2 fuzzy logic systems: Type-reduction,” in IEEE Syst., Man, Cybern. Conf., San Diego, CA, Oct. 1998.
N. N. Karnik and J. M. Mendel, “Introduction to type-2 fuzzy logic systems,” in Proc. IEEE FUZZ Conf., Anchorage, AK, May 1998.
Qiliang Liang and Jerry M. Mendel, “Interval Type 2 Fuzzy Logic Systems: Theory and Design,” in IEEE Translations on Fuzzy systems, vol. 8, Oct. 2000.
LA Zadeh “Fuzzy Logic” in IEEE, 1988
Khorasani, Elham S., et al. "An inference engine toolkit for computing with words." Journal of Ambient Intelligence and Humanized Computing 4.4 (2013): 451-470.
Aguirre, Eugenio, and Antonio González. "Fuzzy behaviors for mobile robot navigation: design, coordination and fusion." International Journal of Approximate Reasoning 25.3 (2000): 255-289.
C. Schuh “Fuzzy set and their application in medicine”. NAFIPS 2005 Annual Meeting of the North American Fuzzy Information Processing Society
Zadeh, L. A. "Some reflections on information granulation and its centrility in granular computing, computing with words, the computational theory of perceptions and precisiated natural language."
Zadeh, Lotfi A. "A summary and update of “fuzzy logic”." Granular Computing (GrC), 2010 IEEE International Conference on. IEEE, 2010.
Jain, Aashi, et al. "Applications of computing with words in medicine: Promises and potential." Fuzzy Systems (FUZZ-IEEE), 2017 IEEE International Conference on. IEEE, 2017.
J. Mendel “An introduction to type-2 fuzzy logic systems,”, USC Report, http://sipi.usc.edu/~mendel/report, Oct. 1998
N. Karnik, J. Mendel, Q. Liang Type-2 fuzzy logic systems,” IEEE Trans. Fuzzy Syst., vol. 7, pp. 643–658, Dec. 1999.
Q. liang, J. Mendel “Overcoming time-varying co-channel interference using type-2 fuzzy adaptive filter,” IEEE Trans. Circuits Syst., vol. 9, no. 6, pp. 1419–1428, Dec. 2000
F. Liu , J. Mendel “Aggregation using The Fuzzy Weighted Average as computed using Kernel-Mendel Algorithm”. IEEE transactions on fuzzy systems, vol. 16, no. 1, february 2008
Zadeh, Lotfi A. "Fuzzy logic= computing with words." IEEE transactions on fuzzy systems 4.2 (1996): 103-111.
Zadeh, Lotfi A. "Key roles of information granulation and fuzzy logic in human reasoning, Concept formulation and computing with words." Fuzzy Systems, 1996., Proceedings of the Fifth IEEE International Conference on. Vol. 1. IEEE, 1996.
Mendel, Jerry M., Jonathan Lawry, and Lotfi A. Zadeh. "Foreword to the special section on computing with words." IEEE Transactions on Fuzzy Systems 18.3 (2010): 437-440.
Zadeh, Lotfi A. "The concept of a linguistic variable and its application to approximate reasoning—II." Information sciences 8.4 (1975): 301-357.
Zadeh, Lotfi A. "The concept of a linguistic variable and its application to approximate reasoning-III." Information sciences 9.1 (1975): 43-80.
Zadeh, Lotfi A. "A new direction in AI: Toward a computational theory of perceptions." AI magazine 22.1 (2001): 73
Zadeh, Lotfi Asker. "Fuzzy sets as a basis for a theory of possibility." Fuzzy sets and systems 1.1 (1978): 3-28.
Zadeh, Lotfi Asker. "Fuzzy logic." Computer 21.4 (1988): 83-93.
“Computing with words, when words can mean different things to different people,” in Proc. 3rd Int’l ICSC Symposium on Fuzzy Logic and Applications, Rochester, NY, June 1999, pp. 158–164.
Zadeh “Fuzzy Sets” information and control 8, 338--353 (1965)
David Aha “http://archive.ics.uci.edu/ml/datasets/heart+disease”
Y. Yuan, M.J. Shaw, Induction of fuzzy decision trees,Fuzzy Sets and Systems, Vol 6,Pages 125-139 (1995)
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