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A multiple attribute group decision making method based on generalized interwal-valued trapezoidal fuzzy numbers

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Języki publikacji
EN
Abstrakty
EN
A ranking approach based on grey correlative coefficient is presented to solve the multiple attribute decision making problems in which the attribute values and the weights take the form of the generalized interval-valued trapezoidal fuzzy number (GIYTFN). Firstly, the concept and the calculation rules of GIYTFN are introduced, the distance of GIYTFN is proposed. Secondly, the method of linguistic terms transformed into GIYTFN and the normalization method of GIYTFN is illustrated, and a grey relational decision making method based on the GIYTFN is presented in detail. The alternatives are ranked based on the grey correlative coefficient. Finally, an illustrative example is given to show the effectiveness of this method and the decision making steps.
Rocznik
Strony
163--184
Opis fizyczny
Bibliogr. 24 poz., rys.
Twórcy
autor
autor
  • Information Management School, Shandong Economic University, Jinan Shandong, 250014, China, Peide.liu@gmail.com
Bibliografia
  • ASHTIANI, B., HAGHIGHIRAD, F., MAKUI, A. ET AL. (2009) Extensiono of fuzzy TOPSIS method based on interval-valued fuzzy sets. Applied Soft Computing 9 (2), 457-461.
  • BELLMAN, R.E. and ZADEH, L.A. (1970) Decision-making in a fuzzy environment. Management Science 17 (4), 141-164.
  • CHEN, S.H. (1985) Ranking fuzzy numbers with maximizing set and minimizing set. Fuzzy Sets and Systems 17 (2), 113-129.
  • CHEN, S.M. and CHEN, J.H. (2009) Fuzzy risk analysis based on ranking generalized fuzzy numbers with different heights and different spreads. Expert Systems with Applications 36 (3), 6833-6842.
  • CHEN, S.J. and CHEN, S.M. (2003) A new method for handing multicriteria fuzzy decision-making problems using FN-IOWA operators. Cybernetics and Systems 34 (2), 109-137.
  • GORZALCZANY, M.B. (1987) A method of inference in approximate reasoning based on interval-valued fuzzy sets. Fuzzy Sets and Systems 21 (1), 1-17.
  • HONG, D.H. and LEE, S. (2002) Some ałgebraic properties and a distance measure for interval-valued fuzzy numbers. Information Sciences 148 (1), 1-10.
  • JAHANSHAHLOO, G.R., HOSSEINZADEH, L.F. and IZADIKHAH, M. (2006) An algorithmic method to extend TOPSIS for decision-making problems with interval data. Applied Mathematics and Computation 175 (2), 1375-1384.
  • KAHNEMAN, D. and TYERSKY, A. (1979) Prospect theory: an analysis of decision under risk. Econometrica 47 (2), 263-292.
  • LIU, P.D. (2009a) A novel method for hybrid multiple attribute decision making. Knowledge-Based Systems 22 (5), 388-391.
  • LIU, P.D. (2009b) Multi-Attribute Decision-Making Method Research Based on Interval Vague Set and TOPSIS Method. Technological and Economic Development of Economy 15 (3), 453-463.
  • LIU, P.D. (2011) A Weighted Aggregation Operators Multi-attribute Group Decision-making Method based on Interval-valued Trapezoidal Fuzzy Numbers. Expert Systems with Applications 38 (1), 1053-1060.
  • LIU, P.D. and ZHANG, X. (2010) The Study on Multi-Attribute Decision-Making with Risk Based on Linguistic Variable. International Journal of Computational Intelligence Systems 3 (5), 601-609.
  • LIU, W.J. and ZENG, L. (2008) A new TOPSIS method for fuzzy multipłe attribute group decision making problem. Journal of Guilin University of Electronic Technology 28 (1), 59-62.
  • LlU, S.F., GUO, T.B. and DANG, Y.G. (1999) Grey System Theory and Application. Science Press, Beijing.
  • MEN, F. and Jl, S.Q. (2008) An improved FMEA based on Fuzzy Set theory and Grey Relational Theory. Industrial Engineering and Management, (2), 55-59.
  • SlMON, H.A. (1971) Administratwe Behavior - A Study of Decision Making Processes in Administrative Organization. Macmillan, New York.
  • TURKSEN, I.B. (1996) Interval-valued strict preference with Zadeh triples. Fuzzy Sets and Systems 78 (2), 183-195.
  • WANG, G. and LI, X. (1998) The applications of interval-valued fuzzy numbers and interval-distribution numbers. Fuzzy Sets and Systems 98 (3), 331-335.
  • WANG, G. and LI, X. (2001) Correlation and Information energy of interwal valued fuzzy numbers. Fuzzy Sets and Systems 103 (1), 169-175.
  • WANG, Y.M. and ELHAG TAHA, M.S. (2006) Fuzzy TOPSIS method based on alpha level sets with an application to bridge risk assessment. Expert Systems with Applications 31 (2), 309-319.
  • WEI, G.W. and WEI, Y. (2008) Model of Grey Relational Analysis for Interval Multiple Attribute Decision Making with Preference Information on Alternatives. Chinese Journal of Management Science 16 (1), 158-162.
  • WEI, S.H. and CHEN, S.M. (2009) Fuzzy risk analysis based on interval-valued fuzzy numbers. Expert Systems with Applications 36 (2), 2285-2299.
  • ZHU, H.P., ZHANG, G.J. and SHAO, X.Y. (2007) Study on the Application of Fuzzy TOPSIS to Multiple Criteria Group Decision Making Problem. Industrial Engineering and Management, (1) 99-102.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0070-0010
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