Homeopathy 2009; 98(01): 35-39
DOI: 10.1016/j.homp.2008.10.003
Original Paper
Copyright © The Faculty of Homeopathy 2009

Homeopathic drug selection using Intuitionistic Fuzzy Sets

Athar Kharal

Subject Editor:
Further Information

Publication History

Received17 November 2007
revised16 August 2008

accepted08 October 2008

Publication Date:
20 December 2017 (online)

Abstract

Using intuitionistic fuzzy set theory, Sanchez's approach to medical diagnosis has been applied to the problem of selection of single remedy from homeopathic repertorization. Two types of Intuitionistic Fuzzy Relations (IFRs) and three types of selection indices are discussed. I also propose a new repertory exploiting the benefits of soft-intelligence.

 
  • References

  • 1 Atanassov K. Intuitionistic fuzzy sets. Fuzzy Sets Syst 1986; 20: 87-96.
  • 2 Zadeh A. Fuzzy sets. Inform Contr 1965; 8: 338-353.
  • 3 Gau L., Buehrer D.J. Vague Sets. IEEE Trans Sys Man Cyber 1993; 23 (02) 610-614.
  • 4 Bustince H., Burillo P. Structures on intutionistic fuzzy relations. Fuzzy Sets Syst 1996; 78: 293-303.
  • 5 Biswas R. Intutionistic fuzzy relations. Bull Sous Ens Flous Appl (BUSEFAL) 1997; 70: 22-29.
  • 6 Atanassov K., Gargov G. Intuitionistic fuzzy logic. C.R. Acad Bulgare Sc 1990; 43 (03) 9-12.
  • 7 Atanassov K., Georgeiv G. Intuitionistic fuzzy prolog. Fuzzy Sets Syst 1993; 53: 121-128.
  • 8 Szmidt E., Kacprzyk J. Intuitionistic fuzzy sets in group decision making. Notes IFS 1996; 2 (01) 11-14.
  • 9 Shu MH, Cheng CH, Chang JR, Using intuitionistic fuzzy sets for fault-tree analysis on printed circuit board assembly, Microelectronics Reliability (Article in press, doi:10.1016/j.microrel.2006.01.007).
  • 10 Kent J.T. Use of the repertory, in Repertory of the Homeopathic Materia Medica. India: B. Jain Publishers; 1993.
  • 11 Sanchez E. Resolution of composition of fuzzy relation equations. Inform Contr 1976; 30: 38-48.
  • 12 Sanchez E. Solutions in composite fuzzy relation equation. Application to medical diagnosis in Brouwerian logic. Gupta M.M., Saridis G.N., Gaines B.R. Fuzzy Automata and Decision Process. 1977. North-Holland: Elsevier;
  • 13 Rutten A., Stolper C., Lugten R., Barthels R. Repertory and likelyhood ratio: time for structural changes. Homeopathy 2004; 93: 120-124.
  • 14 Steinsbekk A. Data Collection Group. Data collection in homeopathic practice: A suggestion for an international standard. Br Hom J 2000; 89:  .