Fuzzy multi-criteria acceptability analysis: A new approach to multi-criteria decision analysis under fuzzy environment

New MCDA approach under fuzzy contexts implements acceptability analysis concept.Fuzzy Rank Acceptability Analysis gives a ranking and a confidence degree about it.A fuzzy extension of MAVT method within the FMAA is implemented.The study of the overestimation problem with fuzzy arithmetic is studied and fixed. Uncertainty is one of the main difficulties that increases the complexity of multi-criteria decision analysis (MCDA) problems, and often uncertainty cannot be managed by probabilistic models. In such cases, the use of fuzzy methods has been successfully applied to multi-criteria decision methods in which the ranking of fuzzy quantities is crucial for the decision analysis. This paper aims to introduce a new approach to MCDA problems defined under fuzzy contexts that implements the concept of acceptability analysis, Fuzzy Multi-Criteria Acceptability Analysis (FMAA), based on the Fuzzy Rank Acceptability Analysis (FRAA), that provides a ranking and a confidence degree about the ranking of fuzzy quantities. Based on the fuzzy extension of MAVT method, the FMAA is implemented and then applied to a case study, and its results are compared with other well-known MCDA methods in order to show its validity, interpretability and consistency.

[1]  Boris Yatsalo.  A New Approach to Fuzzy Multi-Criteria Acceptability Analysis , 2015, IFSA-EUSFLAT.

[2]  Justo Puerto,et al.  Pareto-optimal security strategies in matrix games with fuzzy payoffs , 2011, Fuzzy Sets Syst..

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

[4]  Yufei Yuan.  Criteria for evaluating fuzzy ranking methods , 1991 .

[5]  Robert T. Clemen,et al.  Making Hard Decisions: An Introduction to Decision Analysis , 1997 .

[6]  S. M. Baas,et al.  Rating and ranking of multiple-aspect alternatives using fuzzy sets , 1976, at - Automatisierungstechnik.

[7]  Nils Brunsson.  My own book review : The Irrational Organization , 2014 .

[8]  Love Ekenberg,et al.  State-of-the-Art Prescriptive Criteria Weight Elicitation , 2012, Adv. Decis. Sci..

[9]  Piero P. Bonissone,et al.  A Linguistic Approach to Decisionmaking with Fuzzy Sets , 1980, IEEE Transactions on Systems, Man, and Cybernetics.

[10]  Alessio Ishizaka,et al.  Multi-criteria Decision Analysis: Methods and Software , 2013 .

[11]  Francisco Herrera,et al.  A multigranular hierarchical linguistic model for design evaluation based on safety and cost analysis: Research Articles , 2005 .

[12]  Deng-Feng Li,et al.  A ratio ranking method of triangular intuitionistic fuzzy numbers and its application to MADM problems , 2010, Comput. Math. Appl..

[13]  Witold Pedrycz,et al.  Fuzzy Multicriteria Decision-Making: Models, Methods and Applications , 2010 .

[14]  Igor Linkov,et al.  Multi-Criteria Spatial Decision Support System DECERNS: Application to Land Use Planning , 2010, Int. J. Inf. Syst. Soc. Chang..

[15]  Boris Yatsalo,et al.  Decerns: A Framework for Multi-Criteria Decision Analysis , 2015, Int. J. Comput. Intell. Syst..

[16]  Da Ruan,et al.  Mathematics of FuzzinessBasic Issues , 2009 .

[17]  M. Amparo Vila,et al.  On a canonical representation of fuzzy numbers , 1998, Fuzzy Sets Syst..

[18]  R. Yager.  ON CHOOSING BETWEEN FUZZY SUBSETS , 1980 .

[19]  Ronald R. Yager,et al.  A procedure for ordering fuzzy subsets of the unit interval , 1981, Inf. Sci..

[20]  Igor Linkov,et al.  Environmental risk management with the use of multi-criteria spatial decision support system DECERNS , 2012 .

[21]  K. Asai,et al.  Fuzzy linear programming problems with fuzzy numbers , 1984 .

[22]  Risto Lahdelma,et al.  SMAA - Stochastic multiobjective acceptability analysis , 1998, Eur. J. Oper. Res..

[23]  Richard M. Tong.  A Linguistic Approach to Decisionmaking with Fuzzy Sets , 1993 .

[24]  D. Dubois,et al.  Operations on fuzzy numbers , 1978 .

[25]  J. P. King,et al.  Statistical and analytical comparison of multi-criteria decision-making techniques under fuzzy environment , 2016 .

[26]  K. Nakamura.  Preference relations on a set of fuzzy utilities as a basis for decision making , 1986 .

[27]  J. Adamo.  Fuzzy decision trees , 1980 .

[28]  Gül E. Okudan Kremer,et al.  A simulation analysis of the impact of FAHP-MAUT triage algorithm on the Emergency Department performance measures , 2013, Expert Syst. Appl..

[29]  Ramesh Jain,et al.  DECISION MAKING IN THE PRESENCE OF FUZZY VARIABLES , 1976 .

[30]  Matthias Ehrgott,et al.  Multiple criteria decision analysis: state of the art surveys , 2005 .

[31]  Etienne E. Kerre,et al.  Reasonable properties for the ordering of fuzzy quantities (II) , 2001, Fuzzy Sets Syst..

[32]  Catalin Pol.  Fuzzy decision trees , 2012 .

[33]  A. Mateos,et al.  Dominance intensity measure within fuzzy weight oriented MAUT: An application , 2013 .

[34]  Luis Martínez-López,et al.  An Overview on Fuzzy Modelling of Complex Linguistic Preferences in Decision Making , 2016, Int. J. Comput. Intell. Syst..

[35]  Cengiz Kahraman,et al.  An Alternative Ranking Approach and Its Usage in Multi-Criteria Decision-Making , 2009, Int. J. Comput. Intell. Syst..

[36]  Alev Taskin Gumus,et al.  A comprehensive review of multi criteria decision making approaches based on interval type-2 fuzzy sets , 2015, Knowl. Based Syst..

[37]  Francisco Herrera,et al.  A multigranular hierarchical linguistic model for design evaluation based on safety and cost analysis , 2005, Int. J. Intell. Syst..

[38]  Cengiz Kahraman,et al.  Fuzzy Multicriteria Decision-Making: A Literature Review , 2015, Int. J. Comput. Intell. Syst..

[39]  Chiang Kao,et al.  Management science and environmental issues , 2013 .

[40]  Michael Hanss,et al.  Applied Fuzzy Arithmetic , 2005 .

[41]  Etienne E. Kerre,et al.  Reasonable properties for the ordering of fuzzy quantities (II) , 2001, Fuzzy Sets Syst..

[42]  Risto Lahdelma,et al.  SMAA-2: Stochastic Multicriteria Acceptability Analysis for Group Decision Making , 2001, Oper. Res..

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

[44]  Etienne E. Kerre,et al.  Mathematics of Fuzziness - Basic Issues , 2009, Studies in Fuzziness and Soft Computing.

[45]  Salah Abou-Zaid.  On fuzzy subnear-rings and ideals , 1991 .

[46]  R. L. Keeney,et al.  Decisions with Multiple Objectives: Preferences and Value Trade-Offs , 1977, IEEE Transactions on Systems, Man, and Cybernetics.

[47]  Abbas Mardani,et al.  Multiple criteria decision-making techniques and their applications – a review of the literature from 2000 to 2014 , 2015 .

[48]  L. M. D. C. Ibáñez,et al.  A subjective approach for ranking fuzzy numbers , 1989 .

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

[50]  J. Figueira,et al.  A survey on stochastic multicriteria acceptability analysis methods , 2008 .

[51]  Theodor J. Stewart,et al.  Multiple criteria decision analysis - an integrated approach , 2001 .

[52]  Boris Yatsalo,et al.  A NOVEL APPROACH TO RANKING FUZZY NUMBERS BASED ON FUZZY ACCEPTABILITY ANALYSIS , 2016 .