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Original Articles

A New Minkowski Distance Based on Induced Aggregation Operators

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Pages 123-133 | Received 25 May 2009, Accepted 01 Dec 2010, Published online: 12 Mar 2012

References

  • Ahn , B. S. and Park , H. 2008 . Least-squared ordered weighted averaging operator weights . Int. J. Intell. Syst. , 23 : 33 – 49 .
  • Beliakov , G. , Pradera , A. and Calvo , T. 2007 . Aggregation Functions: A Guide for Practitioners , Berlin : Springer-Verlag .
  • Chiclana , F. , Herrera-Viedma , E. , Herrera , F. and Alonso , S. 2007 . Some induced ordered weighted averaging operators and their use for solving group decision-making problems based on fuzzy preference relations . Eur. J. Oper. Res. , 182 : 383 – 399 .
  • Fodor , J. , Marichal , J. L. and Roubens , M. 1995 . Characterization of the ordered weighted averaging operators . IEEE Trans. Fuzzy Syst. , 3 : 236 – 240 .
  • Kacprzyk , J. and Zadrozny , S. 2009 . 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 . Int. J. Intell. Syst. , 24 : 4 – 26 .
  • Karayiannis , N. 2000 . Soft learning vector quantization and clustering algorithms based on ordered weighted aggregation operators . IEEE Trans. Neural Networks , 11 : 1093 – 1105 .
  • Liu , X. and Han , S. 2008 . Orness and parameterized RIM quantifier aggregation with OWA operators: A summary . Int. J. Approximate Reasoning , 48 : 77 – 97 .
  • Merigó , J. M. 2008 . New extensions to the OWA operators and their application in decision making , Department of Business Administration, University of Barcelona . PhD Thesis
  • Merigó , J. M. and Casanovas , M. 2009 . Induced aggregation operators in the Dempster-Shafer belief structure . Int. J. Intell. Syst. , 24 : 934 – 954 .
  • Merigó , J. M. and Casanovas , M. 2010 . The fuzzy generalized OWA operator and its application in strategic decision making . Cybernetics & Syst. , 41 : 359 – 370 .
  • Merigó , J. M. and Gil-Lafuente , A. M. 2008 . Using the OWA operator in the Minkowski distance . Int. J. Electrical and Computer Engin. , 3 : 149 – 157 .
  • Merigó , J. M. and Gil-Lafuente , A. M. 2009 . The induced generalized OWA operator . Inform. Sci. , 179 : 729 – 741 .
  • Merigó , J. M. and Gil-Lafuente , A. M. 2010 . New decisionmaking techniques and their application in the selection of financial products . Inform. Sci. , 180 : 2085 – 2094 .
  • Xu , Z. S. 2008 . Dependent uncertain ordered weighted averaging operators . Inform. Fusion , 9 : 310 – 316 .
  • Yager , R. R. 1988 . On ordered weighted averaging aggregation operators in multi-criteria decision making . IEEE Trans. Syst. Man Cybern. , B 18 : 183 – 190 .
  • Yager , R. R. 1993 . Families of OWA operators . Fuzzy Sets Syst. , 59 : 125 – 148 .
  • Yager , R. R. 2003 . Induced aggregation operators . Fuzzy Sets Syst. , 137 : 59 – 69 .
  • Yager , R. R. 2004 . Generalized OWA aggregation operators . Fuzzy Optim. Decision Making , 3 : 93 – 107 .
  • Yager , R. R. 2007 . Centered OWA operators . Soft Comp. , 11 : 631 – 639 .
  • Yager , R. R. 2008 . Using trapezoids for representing granular objects: Applications to learning and OWA aggregation . Inform. Sci. , 178 : 363 – 380 .
  • Yager , R. R. and Filev , D. P. 1999 . Induced ordered weighted averaging operators . IEEE Trans. Syst. Man Cybern. , B 29 : 141 – 150 .
  • Yager , R. R. and Kacprzyk , J. 1997 . The Ordered Weighted Averaging Operators: Theory and Applications , Norwell , MA : Kluwer Academic Publishers .
  • Zarghami , M. , Szidarovszky , F. and Ardakanian , R. 2008 . A fuzzy-stochastic OWA model for robust multi-criteria decision making . Fuzzy Optim. Decision Making , 7 : 1 – 15 .
  • Zhou , S. M. , Chiclana , F. , John , R. I. and Garibaldi , J. M. 2008 . Type-1 OWA operators for aggregating uncertain information with uncertain weights induced by type-2 linguistic quantifiers . Fuzzy Sets Syst. , 159 : 3281 – 3296 .
  • Li , D. F. 2010 . A ranking method of triangular intuitionistic fuzzy numbers and application in decision making . Int. J. Comp. Intelligence Syst. , 3 : 522 – 541 .
  • Li , X. , Ruan , D. , Liu , J. and Xu , Y. 2008 . A linguistic-valued weighted aggregation operator to multiple attribute decision making with quantitative and qualitative information . Int. J. Comp. Intelligence Syst. , 1 : 274 – 284 .
  • Merigó , J. M. 2010 . Fuzzy decision making with immediate probabilities . Computers & Industrial Engin. , 58 : 651 – 657 .
  • Wei , G. W. , Zhao , X. and Lin , R. 2010 . Some induced aggregating operators with fuzzy number intuitionistic fuzzy information and their applications to group decision making . Int. J. Comp. Intelligence Syst. , 3 : 84 – 95 .
  • Brouwer , R. K. 2009 . Fuzzy relational fixed point clustering . Int. J. Comp. Intelligence Syst. , 2 : 69 – 82 .
  • Gil-Aluja , J. 1999 . Elements for a Theory of Decision in Uncertainty , Dordrecht : Kluwer Academic Publishers .
  • Gil-Lafuente , A. M. 2005 . Fuzzy Logic in Financial Analysis , Berlin : Springer .
  • Kaufmann , A. 1975 . Introduction to the Theory of Fuzzy Subsets , New York : Academic Press .
  • Xu , Z. S. and Chen , J. 2008 . An overview of distance and similarity measures of intuitionistic fuzzy sets . Int. J. Uncertainty Fuzziness Knowledge-Based Syst. , 16 : 529 – 555 .
  • Xu , Z. S. and Chen , J. 2008 . Clustering algorithm for intuitionistic fuzzy sets . Inform. Sci. , 178 : 3775 – 3790 .
  • Yager , R. R. 1998 . New modes of OWA information fusion . Int. J. Intell. Syst. , 13 : 661 – 681 .
  • Mesiar , R. and Pap , E. 2008 . Aggregation of infinite sequences . Inform. Sci. , 178 : 3557 – 3564 .
  • Mesiar , R. and Spirkova , J. 2006 . Weighted means and weighting functions . Kybernetika , 42 : 151 – 160 .
  • Spirkova , J. 2009 . A generalization of induced Quasi-OWA operators . Proceedings of AGOP 2009 . 2009 , Mallorca , Spain. pp. 53 – 58 .
  • Torra , V. and Narukawa , Y. 2010 . Some relations between Losonczi's based OWA generalizations and the Choquet-Stieltjes integral . Soft Computing , 14 : 465 – 472 .

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