Abstract
We propose the use of intuitionistic fuzzy sets as a tool for reasoning under imperfect facts and imprecise knowledge.
We suggest applications of diverse types of composition of intuitionistic fuzzy relations to this problem. In particular, we will use composition of fuzzy relation in the sense of Goguen.
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References
Atanassov, K.T.: Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20, 87–96 (1986)
Atanassov, K.: Intuitionistic Fuzzy Sets: Theory and Applications. Springer (1999)
Burillo, P., Bustince, H.: Intuitionistic Fuzzy Relations. Effect of Atanassov’s Operators on the Properties of the Intuitionistic Fuzzy Relations. Mathware and Soft Computing 2, 117–148 (1995)
De, S.K., Biswas, R., Roy, A.R.: An application of intuitionistic fuzzy sets in medical diagnosis. Fuzzy Sets and Systems 117, 209–213 (2001)
Deschrijver, G., Kerre, E.E.: On the relationship beetwen some extensions of fuzzy set theory. Fuzzy Sets and Systems 133, 227–235 (2003)
Deschrijver, G., Cornelis, C., Kerre, E.E.: On the Representation of Intuitonistic Fuzzy t-Norms and t-Conorms. IEEE Transactions on Fuzzy Syst. 12, 45–61 (2004)
Drygaś, P., Pękala, B.: Properties of decomposable operations on same extension of the fuzzy set theory. In: Atanassov, K.T., Hryniewicz, O., Kacprzyk, J., Krawczak, M., Nahorski, Z., Szmidt, E., Zadrony, S. (eds.) Advances in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics. Foundations, vol. I, pp. 105–118. EXIT, Warszawa (2008)
Drygaś, P., Pękala, B.: Decision making problem on intuitionistic fuzzy relations (submitted)
Goguen, A.: L-fuzzy sets. Journal of Mathematical Analysis and Applications 18, 145–174 (1967)
Klement, E.P., Mesiar, R., Pap, E.: Triangular norms. Kluwer Acad. Publ., Dordrecht (2000)
Szmidt, E., Kacprzyk, J.: Distances between intuitionistic fuzzy sets. Fuzzy Sets and Systems 114, 505–518 (2005)
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Drygaś, P. (2012). New Types of Compositions of Intuitionistic Fuzzy Relations in Decision Making Problems. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds) Advances in Computational Intelligence. IPMU 2012. Communications in Computer and Information Science, vol 298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31715-6_55
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DOI: https://doi.org/10.1007/978-3-642-31715-6_55
Publisher Name: Springer, Berlin, Heidelberg
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