Intuitionistic Fuzzy Multisets And Its Application in Medical Diagnosis
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33122
Intuitionistic Fuzzy Multisets And Its Application in Medical Diagnosis

Authors: Shinoj T. K, Sunil Jacob John

Abstract:

In this paper a new concept named Intuitionistic Fuzzy Multiset is introduced. The basic operations on Intuitionistic Fuzzy Multisets such as union, intersection, addition, multiplication etc. are discussed. An application of Intuitionistic Fuzzy Multiset in Medical diagnosis problem using a distance function is discussed in detail.

Keywords: Intuitionistic Fuzzy set, Multiset, Intuitionistic Fuzzy Multiset

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1084706

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2943

References:


[1] L. A. Zadeh, Fuzzy sets, Inform. and Control, 8 338-353, 1965.
[2] K. T. Atanassov, Intuitionistic Fuzzy sets, VII ITKRs Session, Sofia (deposed in Central Science-Technical Library of Bulgarian Academy of Science, 1697/84) (in Bulgarian), 1983.
[3] K. T. Atanassov, Intuitionistic Fuzzy sets, Fuzzy sets and Systems, 20, 87-96, 1986.
[4] G .Takeuti and S. Titani, Intuitionistic fuzzy Logic and intuitionistic Fuzzy set theory, J. Symbolic Logic, 49, 851-866, 1984.
[5] Glad Deschrijver and Etienne E. Kerre, On the position of intuitionistic Fuzzy set theory in the framework of theories modelling imprecision, Information Sciences, 177, 1860-1866, 2007.
[6] W .D. Blizard, Dedekind multisets and function shells, Theoretical Computer Science, 110, 79-98, 1993.
[7] W. D. Blizard, Multiset Theory, Notre Dame Journal of Formal Logic, Vol.30, No.1, 36-66, 1989.
[8] R. R. Yager, On the theory of bags, Int. J. of General Systems, 13, 23-37, 1986.
[9] Cristian S. Calude, Gheorghe Paun, Grzegorz Rozenberg and Arto Salomaa, Multiset Processing, Springer-Verlag, Germany, 2001.
[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. 2, pp. 209-213, 2001.