{"title":"Intuitionistic Fuzzy Multisets And Its Application in Medical Diagnosis","authors":"Shinoj T. K, Sunil Jacob John","volume":61,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":121,"pagesEnd":125,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/15263","abstract":"In this paper a new concept named Intuitionistic Fuzzy\r\nMultiset is introduced. The basic operations on Intuitionistic Fuzzy\r\nMultisets such as union, intersection, addition, multiplication etc. are\r\ndiscussed. An application of Intuitionistic Fuzzy Multiset in Medical diagnosis problem using a distance function is discussed in detail.","references":"[1] L. A. Zadeh, Fuzzy sets, Inform. and Control, 8 338-353, 1965.\r\n[2] K. T. Atanassov, Intuitionistic Fuzzy sets, VII ITKRs Session, Sofia\r\n(deposed in Central Science-Technical Library of Bulgarian Academy of Science, 1697\/84) (in Bulgarian), 1983.\r\n[3] K. T. Atanassov, Intuitionistic Fuzzy sets, Fuzzy sets and Systems, 20,\r\n87-96, 1986.\r\n[4] G .Takeuti and S. Titani, Intuitionistic fuzzy Logic and intuitionistic Fuzzy set theory, J. Symbolic Logic, 49, 851-866, 1984.\r\n[5] Glad Deschrijver and Etienne E. Kerre, On the position of intuitionistic\r\nFuzzy set theory in the framework of theories modelling imprecision,\r\nInformation Sciences, 177, 1860-1866, 2007.\r\n[6] W .D. Blizard, Dedekind multisets and function shells, Theoretical Computer Science, 110, 79-98, 1993.\r\n[7] W. D. Blizard, Multiset Theory, Notre Dame Journal of Formal Logic, Vol.30, No.1, 36-66, 1989.\r\n[8] R. R. Yager, On the theory of bags, Int. J. of General Systems, 13,\r\n23-37, 1986.\r\n[9] Cristian S. Calude, Gheorghe Paun, Grzegorz Rozenberg and Arto\r\nSalomaa, Multiset Processing, Springer-Verlag, Germany, 2001.\r\n[10] De S. K., Biswas R and Roy A. R., An Application of Intuitionistic fuzzy sets in medical diagnosis, Fuzzy Sets and Systems, Vol. 117, No.\r\n2, pp. 209-213, 2001.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 61, 2012"}