A new fuzzy multiple attributive group decision making methodology and its application to propulsion/manoeuvring system selection problem

In this paper, a new fuzzy multiple attribute decision-making (FMADM) method, which is suitable for multiple attributive group decision making (GDM) problems in fuzzy environment, is proposed to deal with the problem of ranking and selection of alternatives. Since the subjectivity, imprecision and vagueness in the estimates of a performance rating enter into multiple attribute decision-making (MADM) problems, fuzzy set theory provides a mathematical framework for modelling vagueness and imprecision. In the proposed approach, an attribute based aggregation technique for heterogeneous group of experts is employed and used for dealing with fuzzy opinion aggregation for the subjective attributes of the decision problem. The propulsion/manoeuvring system selection as a real case study is used to demonstrate the versatility and potential of the proposed method for solving fuzzy multiple attributive group decision-making problems. The proposed method is a generalised model, which can be applied to great variety of practical problems encountered in the naval architecture from propulsion/manoeuvring system selection to warship requirements definition.

[1]  Mao-Jiun J. Wang,et al.  A fuzzy multi-criteria decision-making method for facility site selection , 1991 .

[2]  G. Azzone,et al.  Measuring manufacturing competence : a fuzzy approach , 1996 .

[3]  Celik Parkan,et al.  Process selection with multiple objective and subjective attributes , 1998 .

[4]  J. Buckley,et al.  Fuzzy hierarchical analysis , 1999, FUZZ-IEEE'99. 1999 IEEE International Fuzzy Systems. Conference Proceedings (Cat. No.99CH36315).

[5]  Didier Dubois,et al.  Fuzzy sets and systems ' . Theory and applications , 2007 .

[6]  Chen-Tung Chen,et al.  Aggregation of fuzzy opinions under group decision making , 1996, Fuzzy Sets Syst..

[7]  Huibert Kwakernaak An algorithm for rating multiple-aspect alternatives using fuzzy sets , 1979, Autom..

[8]  Shyi-Ming Chen,et al.  A new method for tool steel materials selection under fuzzy environment , 1997, Fuzzy Sets Syst..

[9]  Gerhard O. Mensch,et al.  TIMS Studies in the management sciences : Burton V. Dean and Joel L. Goldhar (eds.), Management of Research and Innovation, North-Holland Publishing Company, Amsterdam, Vol. 15, 1980, 300 pp. , 1983 .

[10]  Rita Almeida Ribeiro Fuzzy multiple attribute decision making: A review and new preference elicitation techniques , 1996, Fuzzy Sets Syst..

[11]  Huibert Kwakernaak,et al.  Rating and ranking of multiple-aspect alternatives using fuzzy sets , 1976, Autom..

[12]  Shyi-Ming Chen A NEW METHOD FOR HANDLING MULTICRITERIA FUZZY DECISION-MAKING PROBLEMS , 1994 .

[13]  Mao-Jiun J. Wang,et al.  A fuzzy multi-criteria decision-making approach for robot selection , 1993 .

[14]  H. Zimmermann Fuzzy sets, decision making, and expert systems , 1987 .

[15]  E. Ertugrul Karsak A TWO-PHASE ROBOT SELECTION PROCEDURE , 1998 .

[16]  Shuta Murakami,et al.  A fuzzy decision-making method and its application to a company choice problem , 1988, Inf. Sci..

[17]  D. Dubois,et al.  Weighted fuzzy pattern matching , 1988 .

[18]  Juite Wang,et al.  Fuzzy outranking approach to prioritize design requirements in quality function deployment , 1999 .

[19]  W. Pedrycz,et al.  A fuzzy extension of Saaty's priority theory , 1983 .

[20]  R. Yager Fuzzy decision making including unequal objectives , 1978 .

[21]  Xu Ruoning,et al.  Extensions of the analytic hierarchy process in fuzzy environment , 1992 .

[22]  J. Wang (International Journal of Production Research, 35(4):995-1010)A Fuzzy Outranking Method for Conceptual Design Evaluation , 1997 .

[23]  A. Kaufmann,et al.  Introduction to fuzzy arithmetic : theory and applications , 1986 .

[24]  P. Ya. Ekel,et al.  Approach to decision making in fuzzy environment , 1999 .

[25]  James F. Baldwin,et al.  A multiple attribute fuzzy decision support system: two applications , 1994 .

[26]  Mao-Jiun J. Wang,et al.  Tool steel materials selection under fuzzy environment , 1995 .

[27]  Prabir Bhattacharya,et al.  A fuzzy-logic-based approach to project selection , 2000, IEEE Trans. Engineering Management.

[28]  Ronald R. Yager,et al.  Multiple objective decision-making using fuzzy sets , 1977 .

[29]  D. E. Bell,et al.  Conflicting Objectives in Decisions , 1978 .

[30]  Didier Dubois,et al.  Ranking fuzzy numbers in the setting of possibility theory , 1983, Inf. Sci..

[31]  A. Rangone On the Applicability of Analytical Techniques for the Selection of AMTs in Small-Medium Sized Firms , 1998 .

[32]  D. Chang Applications of the extent analysis method on fuzzy AHP , 1996 .

[33]  Zülal Güngör,et al.  A fuzzy outranking method in energy policy planning , 2000, Fuzzy Sets Syst..

[34]  Chen-Tung Chen,et al.  A fuzzy approach to select the location of the distribution center , 2001, Fuzzy Sets Syst..

[35]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[36]  Vadlamani Ravi,et al.  Ranking of Indian coals via fuzzy multi attribute decision making , 1999, Fuzzy Sets Syst..

[37]  Andrea Rangone,et al.  A reference framework for the application of MADM fuzzy techniques to selecting AMTS , 1998 .

[38]  T. Stewart A CRITICAL SURVEY ON THE STATUS OF MULTIPLE CRITERIA DECISION MAKING THEORY AND PRACTICE , 1992 .

[39]  Chung-Hsing Yeh,et al.  Fuzzy multicriteria analysis for performance evaluation of bus companies , 2000, Eur. J. Oper. Res..

[40]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[41]  Ching-Lai Hwang,et al.  Fuzzy Multiple Attribute Decision Making - Methods and Applications , 1992, Lecture Notes in Economics and Mathematical Systems.

[42]  M. Gupta,et al.  FUZZY INFORMATION AND DECISION PROCESSES , 1981 .

[43]  Bertrand Mareschal,et al.  Prométhée: a new family of outranking methods in multicriteria analysis , 1984 .

[44]  Shyi-Ming Chen,et al.  Aggregating Fuzzy Opinions in the Group Decision-making Environment , 1998, Cybern. Syst..

[45]  Ching-Lai Hwang,et al.  Multiple attribute decision making : an introduction , 1995 .

[46]  Madan M. Gupta,et al.  Approximate reasoning in decision analysis , 1982 .

[47]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[48]  H. Zimmermann,et al.  Fuzzy Set Theory and Its Applications , 1993 .

[49]  Piero P. Bonissone,et al.  A fuzzy sets based linguistic approach: Theory and applications , 1980, WSC '80.

[50]  Helena Jane Efstathiou A practical development of multi-attribute decision making using fuzzy set theory , 1979 .

[51]  Pao-Long Chang,et al.  A fuzzy multi-criteria decision making method for technology transfer strategy selection in biotechnology , 1994 .

[52]  Gin-Shuh Liang,et al.  Fuzzy MCDM based on ideal and anti-ideal concepts , 1999, Eur. J. Oper. Res..