| Title of paper:
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Optimal selection of the most suitable method out of n alternatives: An intuitionistic fuzzy approach
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| Author(s):
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| Supriya Kumar De
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| Department of Mathematics, Indian Institute of Technology, Kharagpur - 721302, West Bengal, India
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| Ranjit Biswas
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| Department of Mathematics, Indian Institute of Technology, Kharagpur - 721302, West Bengal, India
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| Akhil Ranjan Roy
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| Department of Mathematics, Indian Institute of Technology, Kharagpur - 721302, West Bengal, India
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 3 (1997) Number 3, pages 97—104
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| Download:
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 PDF (2799 Kb, File info)
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| Abstract:
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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.
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| Keywords:
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Intuitionistic fuzzy set (IFS), performance value, performance, perfor¬mance matrix, super performance value, worst performance value, dominating matrix, relative score.
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| References:
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- 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)
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