DECISION MAKING WITH THE INDUCED GENERALIZED ADEQUACY COEFFICIENT

We introduce the induced generalized ordered weighted averaging adequacy coefficient (IGOWAAC) operator. The main advantage is that it provides a more complete generalization of the aggregation operators that includes a wide range of situations. We apply the new approach in a decision making problem.

[1]  Zeshui Xu,et al.  Projection Models for Intuitionistic Fuzzy Multiple Attribute Decision Making , 2010, Int. J. Inf. Technol. Decis. Mak..

[2]  A. M. Gil-Lafuente.  Fuzzy Logic in Financial Analysis , 2005 .

[3]  Hui Li,et al.  The induced continuous ordered weighted geometric operators and their application in group decision making , 2009, Comput. Ind. Eng..

[4]  Ronald R. Yager.  On the dispersion measure of OWA operators , 2009, Inf. Sci..

[5]  Zeshui Xu,et al.  Generalized aggregation operators for intuitionistic fuzzy sets , 2010 .

[6]  R. Yager,et al.  MODELLING DECISION MAKING USING IMMEDIATE PROBABILITIES , 1996 .

[7]  Radko Mesiar,et al.  Aggregation of infinite sequences , 2008, Inf. Sci..

[8]  János C. Fodor,et al.  Characterization of the ordered weighted averaging operators , 1995, IEEE Trans. Fuzzy Syst..

[9]  José M. Merigó,et al.  Fuzzy induced generalized aggregation operators and its application in multi-person decision making , 2011, Expert Syst. Appl..

[10]  Vicenç Torra,et al.  Some relationships between Losonczi’s based OWA generalizations and the Choquet–Stieltjes integral , 2010, Soft Comput..

[11]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decision-making , 1988 .

[12]  Guiwu Wei,et al.  Some Induced Aggregating Operators with Fuzzy Number Intuitionistic Fuzzy Information and their Applications to Group Decision Making , 2010, Int. J. Comput. Intell. Syst..

[13]  José M. Merigó,et al.  New decision-making techniques and their application in the selection of financial products , 2010, Inf. Sci..

[14]  Ronald R. Yager,et al.  Time Series Smoothing and OWA Aggregation , 2008, IEEE Transactions on Fuzzy Systems.

[15]  Nicolaos B. Karayiannis,et al.  Soft learning vector quantization and clustering algorithms based on ordered weighted aggregation operators , 2000, IEEE Trans. Neural Networks Learn. Syst..

[16]  Zeshui Xu,et al.  Ordered weighted distance measure , 2008 .

[17]  Guiwu Wei,et al.  Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making , 2010, Appl. Soft Comput..

[18]  J. Merigó,et al.  The Induced Generalized OWA Operator , 2009, EUSFLAT Conf..

[19]  Mariano Eriz.  Aggregation Functions: A Guide for Practitioners , 2010 .

[20]  R. Yager.  Families of OWA operators , 1993 .

[21]  R. Mesiar.  Choquet-like Integrals , 1995 .

[22]  J. Gil-Aluja.  Elements for a Theory of Decision in Uncertainty , 2010 .

[23]  Ismat Beg,et al.  SIMILARITY MEASURES FOR FUZZY SETS , 2009 .

[24]  J. Merigó,et al.  Induced and heavy aggregation operators with distance measures , 2010 .

[25]  A. M. G. Lafuente,et al.  Unification Point In Methods For The Selection Of Financial Products , 2007 .

[26]  Ronald R. Yager,et al.  Norms Induced from OWA Operators , 2010, IEEE Transactions on Fuzzy Systems.

[27]  Ronald R. Yager,et al.  On generalized Bonferroni mean operators for multi-criteria aggregation , 2009, Int. J. Approx. Reason..

[28]  Ronald R. Yager,et al.  Prioritized OWA aggregation , 2009, Fuzzy Optim. Decis. Mak..

[29]  Z. S. Xu,et al.  An overview of operators for aggregating information , 2003, Int. J. Intell. Syst..

[30]  Ching-Hsue Cheng,et al.  OWA-weighted based clustering method for classification problem , 2009, Expert Syst. Appl..

[31]  Ali Emrouznejad,et al.  Improving minimax disparity model to determine the OWA operator weights , 2010, Inf. Sci..

[32]  A. Bonaert.  Introduction to the theory of Fuzzy subsets , 1977, Proceedings of the IEEE.

[33]  Zeshui Xu,et al.  Power-Geometric Operators and Their Use in Group Decision Making , 2010, IEEE Transactions on Fuzzy Systems.

[34]  J. Merigó,et al.  Fuzzy Generalized Hybrid Aggregation Operators and its Application in Fuzzy Decision Making , 2010 .

[35]  Jaime Gil-Aluja,et al.  The Interactive Management of Human Resources in Uncertainty , 1997 .

[36]  José M. Merigó,et al.  DECISION MAKING WITH DISTANCE MEASURES AND INDUCED AGGREGATION OPERATORS , 2008 .

[37]  José M. Merigó,et al.  THE FUZZY GENERALIZED OWA OPERATOR AND ITS APPLICATION IN STRATEGIC DECISION MAKING , 2010, Cybern. Syst..

[38]  José M. Merigó,et al.  Fuzzy decision making with immediate probabilities , 2010, Comput. Ind. Eng..

[39]  J. Merigó,et al.  The generalized adequacy coefficient and its application in strategic decision making , 2008 .

[40]  G. Choquet.  Theory of capacities , 1954 .

[41]  J. Merigó,et al.  Using the OWA Operator in the Minkowski Distance , 2008 .

[42]  Wang Shuqi,et al.  Generalized ordered weighted averaging operators based methods for MADM in intuitionistic fuzzy set setting , 2012 .

[43]  Anna Maria Gil Lafuente,et al.  M-Attributes Algorithm for the Selection of a Company to be Affected by a Public Offering , 2009, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[44]  Vicenç Torra,et al.  Modeling decisions - information fusion and aggregation operators , 2007 .

[45]  José M. Merigó,et al.  Decision-making with distance measures and induced aggregation operators , 2011, Comput. Ind. Eng..

[46]  Dimitar Filev,et al.  On the concept of immediate probabilities , 1995, Int. J. Intell. Syst..

[47]  Ronald R. Yager,et al.  Generalized OWA Aggregation Operators , 2004, Fuzzy Optim. Decis. Mak..

[48]  J. Kacprzyk,et al.  The Ordered Weighted Averaging Operators: Theory and Applications , 1997 .

[49]  Zeshui Xu,et al.  Choquet integrals of weighted intuitionistic fuzzy information , 2010, Inf. Sci..

[50]  Xiaohong Chen,et al.  Induced choquet ordered averaging operator and its application to group decision making , 2010, Int. J. Intell. Syst..

[51]  Gui-Wu Wei,et al.  Uncertain Linguistic Hybrid Geometric Mean Operator and its Application to Group Decision Making under Uncertain Linguistic Environment , 2009, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[52]  Jaime Gil-Aluja.  Handbook of Management under Uncertainty , 2011 .

[53]  José M. Merigó,et al.  Computational Intelligence in Business and Economics: Proceedings of the Ms'10 International Conference , 2010 .

[54]  José M. Merigó,et al.  The uncertain induced quasi‐arithmetic OWA operator , 2011, Int. J. Intell. Syst..

[55]  José M. Merigó,et al.  Linguistic Aggregation Operators for Linguistic Decision Making Based on the Dempster-Shafer Theory of Evidence , 2010, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[56]  Dimitar Filev,et al.  Induced ordered weighted averaging operators , 1999, IEEE Trans. Syst. Man Cybern. Part B.

[57]  Ronald R. Yager,et al.  Induced aggregation operators , 2003, Fuzzy Sets Syst..

[58]  José M. Merigó,et al.  Fuzzy Induced Aggregation Operators in Decision Making with Dempster-Shafer Belief Structure , 2008, ICEIS.