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T-Norms for Type-2 Fuzzy Sets - Department of Mathematical Sciences

T-Norms for Type-2 Fuzzy Sets - Department of Mathematical Sciences

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[13] M. Mizumoto and K. Tanaka, “Some properties <strong>of</strong> fuzzy sets <strong>of</strong> type2,” In<strong>for</strong>mation and Control, vol. 31, pp. 312-340, 1976.[14] M. Mizumoto and K. Tanaka, “<strong>Fuzzy</strong> sets <strong>of</strong> type-2 under algebraicproduct and algebraic sum,” <strong>Fuzzy</strong> <strong>Sets</strong> and Systems, vol. 5, pp. 277-290, 1981.[15] M. Mukaidono, “Algebraic structures <strong>of</strong> truth values in fuzzy logic,”<strong>Fuzzy</strong> Logic and <strong>Fuzzy</strong> Control, Lecture Notes in Articial Intelligence,vol. 833, Springer-Verlag, pp. 15-21, 1994.[16] H. Nguyen and E. Walker, A First Course in <strong>Fuzzy</strong> Logic, Chapman &Hall/CRC, Boca Raton, 2000.[17] J. Nieminen, “On the algebraic structure <strong>of</strong> fuzzy sets <strong>of</strong> type 2,”Kybernetika, vol. 13, pp. 261-273, 1977.[18] C. Walker and E. Walker, “Algebraic properties <strong>of</strong> type-2 fuzzy sets,Proceedings <strong>of</strong> the Third International conference on Intelligent Technologiesand Third Vietnam-Japan Symposium on <strong>Fuzzy</strong> Systems andApplications, Hanoi Vietnam, December 3-5, 2002, Nguyen H. P., H. T.Nguyen, Nguyen C. H., P. Santiprabhob, eds., p. 9.[19] C. Walker and E. Walker, “Algebraic structures on fuzzy sets <strong>of</strong> type2,” Proceedings <strong>of</strong> the International Conference on <strong>Fuzzy</strong> In<strong>for</strong>mationProcessing, Beijing, China, March 1-4, 2003, Liu, Chen, Ying, and Cai,eds., pp. 97-100.[20] C. Walker and E. Walker, “Ordinary, interval-valued, and type-2 fuzzysets,” Proceedings <strong>of</strong> the International Conference on Intelligent Technologies2003, Chiang Mai, Thailand, December 17-19, 2004, p. xiii.(Invited address)[21] C. Walker and E. Walker, “The algebra <strong>of</strong> fuzzy truth values,” <strong>Fuzzy</strong><strong>Sets</strong> and Systems, vol. 149, pp. 309-347, 2005.[22] L. Zadeh, “The concept <strong>of</strong> a linguistic variable and its application toapproximate reasoning,” In<strong>for</strong>m Sci., vol. 8, pp. 199-249, 1975.

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