Issue:Optimal selection of the most suitable method out of n alternatives: An intuitionistic fuzzy approach

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Title of paper: Optimal selection of the most suitable method out of n alternatives: An intuitionistic fuzzy approach Author(s): Supriya Kumar De Department of Mathematics, Indian Institute of Technology, Kharagpur - 721302, West Bengal, India Ranjit Biswas Department of Mathematics, Indian Institute of Technology, Kharagpur - 721302, West Bengal, India Akhil Ranjan Roy Department of Mathematics, Indian Institute of Technology, Kharagpur - 721302, West Bengal, India Published in: "Notes on IFS", Volume 3 (1997) Number 3, pages 97—104 Download:  PDF (2799  Kb, File info) Abstract: We consider a problem of selecting the best out of n alternative actions on the basis of performance values or ratings corresponding to m factors (or criteria). Our assump¬tion is that for each alternative the performance values correspond to an intuitionistic fuzzy set of the set F of all factors. An algorithm for the method is presented and a hypothetical case-study is made. Keywords: Intuitionistic fuzzy set (IFS), performance value, performance, perfor¬mance matrix, super performance value, worst performance value, dominating matrix, relative score. References: Atanassov, K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems. 20 (1986) 87-96. Atanassov, K., New operations defined over intuitionistic fuzzy sets, Fuzzy Sets and Systems. 61 (1994) 137-142. Atanassov, K., More on intuitionistic fuzzy sets, Fuzzy sets and Systems. 33 (1989) 37-46. Atanassov, K., Remarks on the intuitionistic fuzzy sets. Part 3, Fuzzy Sets and Systems. 75 (1995) 401-402. Atanassov, K. and Gargov, G., Intuitionistic fuzzy logic, C.R. Acad. Bulgare Sc. 43(3) (1990) 9-12. Atanassov, K. and Georgiev, C, Intuitionistic fuzzy prolog, Fuzzy Sets and Systems. 53 (1993) 121-128. Biswas, R., Intuitionistic fuzzy relations, to appear in Bull. Sous. Ens. Flous. Appl. (BUSEFAL) 70 (1997). Biswas, R., On fuzzy sets and intuitionistic fuzzy sets, to appear in NIFS. Bustince, H. and Burillo, P., Vague sets are intuitionistic fuzzy sets, Fuzzy Sets and Systems 79 (1996) 403-405. Bustince, H. and Burillo, P., Entropy on intuitionistic fuzzy sets and interval-valued fuzzy sets, Fuzzy Sets and Systems 78 (1996) 305-316. Doubois, D. and Prade, H., Fuzzy Sets and Systems : Theory and Application (Academic Press, New York, 1980) Gau, W.L. and Buehrer, D.J., Vague sets, IEEE Trans, systems Man Cybernet. 23 (2) (1993) 610-614. Kaufmann, A., An Intro, to the Theory of Fuzzy Subsets, Vol. 1, Acad. Press. New York, 1975. Sanchez, E., Solutions in composite fuzzy relation equation. Application to Medical diagnosis in Brouwerian Logic, in M.M.Gupta, G.N.Saridis and B.R.Gaines, Eds., Fuzzy Automata and Decision Process (Elsevier/North-Holland, New York, 1977) Sanchez, E., Resolution of composition fuzzy relation equations, Inform, and control. 30 (1976) 38-48. Szmidt, E. and Kacprzyk, J., Intuitionistic fuzzy sets in group decision making, NIFS. 2(1) (1996) 11-14. Zadeh, L.A., Fuzzy sets, Infor. and Control. 8 (1965) 338-353. Zimmerman, H.-J., Fuzzy Set Theory and Its Applications (Kluwer Academic Publisher, Dordrecht, 1985) Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.