Uncertain induced aggregation operators and its application in tourism management

We develop a new decision making approach for dealing with uncertain information and apply it in tourism management. We use a new aggregation operator that uses the uncertain weighted average (UWA) and the uncertain induced ordered weighted averaging (UIOWA) operator in the same formulation. We call it the uncertain induced ordered weighted averaging - weighted averaging (UIOWAWA) operator. We study some of the main advantages and properties of the new aggregation such as the uncertain arithmetic UIOWA (UA-UIOWA) and the uncertain arithmetic UWA (UAUWA). We study its applicability in a multi-person decision making problem concerning the selection of holiday trips. We see that depending on the particular type of UIOWAWA operator used, the results may lead to different decisions.

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

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

[3]  V. Torra.  The weighted OWA operator , 1997, International Journal of Intelligent Systems.

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

[5]  Ronald R. Yager,et al.  Constrained OWA aggregation , 1996, Fuzzy Sets Syst..

[6]  F. Herrera,et al.  An intelligent news recommender agent for filtering and categorizing large volumes of text corpus , 2004 .

[7]  Ronald R. Yager,et al.  Including importances in OWA aggregations using fuzzy systems modeling , 1998, IEEE Trans. Fuzzy Syst..

[8]  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..

[9]  J. Merigó,et al.  Probabilistic aggregation operators and their application in uncertain multi-person decision-making , 2011 .

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

[11]  Ching-Hsue Cheng,et al.  OWA rough set model for forecasting the revenues growth rate of the electronic industry , 2010, Expert Syst. Appl..

[12]  J. Kacprzyk,et al.  Towards a general and unified characterization of individual and collective choice functions under fuzzy and nonfuzzy preferences and majority via the ordered weighted average operators , 2009 .

[13]  Zeshui Xu,et al.  Induced uncertain linguistic OWA operators applied to group decision making , 2006, Inf. Fusion.

[14]  Montserrat Casanovas,et al.  A Method under Uncertain Information for the Selection of Students in Interdisciplinary Studies , 2009 .

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

[16]  Gleb Beliakov,et al.  Aggregation Functions: A Guide for Practitioners , 2007, Studies in Fuzziness and Soft Computing.

[17]  José M. Merigó,et al.  The Uncertain Generalized OWA Operator and its Application to Financial Decision Making , 2011, Int. J. Inf. Technol. Decis. Mak..

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

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

[20]  Zeshui Xu.  Fuzzy harmonic mean operators , 2009 .

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

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

[23]  Ronald R. Yager,et al.  Heavy OWA Operators , 2002, Fuzzy Optim. Decis. Mak..

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

[25]  Onofre Martorell Cunill,et al.  Valuing Growth Strategy Management by Hotel Chains Based on the Real Options Approach , 2008 .

[26]  B. Ahn.  Some remarks on the LSOWA approach for obtaining OWA operator weights , 2009 .

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

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

[29]  Chunqiao Tan,et al.  Induced choquet ordered averaging operator and its application to group decision making , 2010 .

[30]  J. Merigó,et al.  Induced aggregation operators in decision making with the Dempster-Shafer belief structure , 2009 .

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

[32]  Onofre Martorell Cunill,et al.  The Growth Strategies of Hotel Chains: Best Business Practices by Leading Companies , 2006 .

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

[34]  Enrique Herrera-Viedma,et al.  A Consensus Model for Group Decision Making Problems with Unbalanced Fuzzy Linguistic Information , 2009, Int. J. Inf. Technol. Decis. Mak..

[35]  Weihua Su,et al.  Intuitionistic fuzzy ordered weighted distance operator , 2011, Knowl. Based Syst..

[36]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decisionmaking , 1988, IEEE Trans. Syst. Man Cybern..

[37]  J. Merigó,et al.  A new aggregation method for strategic decision making and its application in assignment theory , 2011 .

[38]  C. E. SHANNON,et al.  A mathematical theory of communication , 1948, MOCO.

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

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

[41]  José M. Merigó,et al.  A New Minkowski Distance Based on Induced Aggregation Operators , 2011, Int. J. Comput. Intell. Syst..

[42]  Shyi-Ming Chen,et al.  A NEW METHOD FOR HANDLING MULTICRITERIA FUZZY DECISION-MAKING PROBLEMS USING FN-IOWA OPERATORS , 2003, Cybern. Syst..

[43]  Radko Mesiar,et al.  Weighted means and weighting functions , 2006, Kybernetika.

[44]  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..

[45]  Ta-Chun Wen,et al.  A novel efficient approach for DFMEA combining 2-tuple and the OWA operator , 2010, Expert Syst. Appl..

[46]  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..

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

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

[49]  Z. S. Xu,et al.  The uncertain OWA operator , 2002, Int. J. Intell. Syst..

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

[51]  Anna Maria Gil Lafuente,et al.  OWA operators in human resource management , 2011 .

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

[53]  José M. Merigó,et al.  A unified model between the weighted average and the induced OWA operator , 2011, Expert Syst. Appl..

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

[55]  Gui-Wu Wei,et al.  A method for multiple attribute group decision making based on the ET-WG and ET-OWG operators with 2-tuple linguistic information , 2010, Expert Syst. Appl..

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

[57]  Huayou Chen,et al.  A novel approach for question answering and automatic diagnosis based on pervasive agent ontology in medicine , 2010 .