123
Views
0
CrossRef citations to date
0
Altmetric
Articles

On forming joint variables in computing with words

Pages 820-837 | Received 13 Aug 2012, Accepted 05 Jun 2013, Published online: 02 Aug 2013

References

  • Brillouin , L. 1956 . Science and Information Theory , New York : Academic Press .
  • Cherubini , U. , Luciano , E. and Vecchiato , W. 2004 . Copula Methods in Finance , New York : Wiley .
  • Dempster , P. 2008 . The Dempster–Shafer Calculus for Statisticians . International Journal of Approximate Reasoning , 48 : 365 – 377 .
  • Dubois , D. and Prade , H. 1980a . “ New Results about Properties and Semantics of Fuzzy Set-theoretic Operators ” . In Fuzzy Sets , Edited by: Wang , P. P. and Chang , S. K. 59 – 76 . New York : Plenum Press .
  • Dubois , D. and Prade , H. 1980b . Fuzzy Sets and Systems: Theory and Applications , New York : Academic Press .
  • Dubois , D. and Prade , H. 1987 . “ The Principle of Minimum Specificity as a Basis for Evidential Reasoning ” . In Uncertainty in Knowledge-based Systems , Edited by: Bouchon , B. and Yager , R. R. 75 – 84 . Berlin : Springer-Verlag .
  • Durante , F. and Sempi , C. 2010 . “ Copula Theory: An Introduction ” . In Copula Theory and Its Applications , Edited by: Jaworski , P. , Durante , F. , Hardle , W. and Rychlik , T. 3 – 31 . Berlin : Springer .
  • Jaworski , P. , Durante , F. , Hardle , W. K. and Rychlik , T. 2010 . Copula Theory and its Application , Berlin : Springer .
  • Kacprzyk , J. and Zadrozny , S. 2010 . Computing with Words is an Implementable Paradigm: Fuzzy Queries, Linguistic Data Summaries, and Natural-language Generation . IEEE Transactions on Fuzzy Systems , 18 : 461 – 472 .
  • Klement , E. P. , Mesiar , R. and Pap , E. 2000 . Triangular Norms , Dordrecht : Kluwer Academic .
  • Klir , G. J. 1991 . Generalized Information Theory . Fuzzy Sets and Systems , 40 : 127 – 142 .
  • Klir , G. J. 2006 . Uncertainty and Information , New York : John Wiley & Sons .
  • Mendel, J. M., L. A. Zadeh, E. Trillas, R. R. Yager, J. Lawry, H. Hagras, and S. Guadarrama. 2010. “What Computing with Words Means to Me.” IEEE Computational Intelligence Magazine, February 20–26.
  • Nelsen , R. B. 1999 . An Introduction to Copulas , New York : Springer-Verlag .
  • Sklar , A. 1959 . Fonctions dérepartition à N Dimensions Et Leurs Marges [Distribution Functions of N Dimensions and Their Marginals] . Publ. Inst. Statistics University Paris , 8 : 229 – 231 .
  • Sklar , A. 1973 . Random Variables, Joint Distributions and Copulas . Kybernetica , 9 : 449 – 460 .
  • Trivedi , P. K. and Zimmer , D. M. 2007 . Copula Modeling: An Introduction for Practitioners , Boston , MA : Now .
  • Yager , R. R. 1991 . Similarity Based Specificity Measures . International Journal of General Systems , 19 : 91 – 106 .
  • Yager , R. R. 2004 . Cumulative Distribution Functions from Dempster–Shafer Belief Structures . IEEE Transactions on Systems, Man and Cybernetics, Part B , 34 : 2080 – 2087 .
  • Yager , R. R. , Liu , L. , (Dempster , A. P. and Shafer , G. , eds. 2008 . Advisory, Classic Works of the Dempster–Shafer Theory of Belief Functions , Heidelberg : Springer .
  • Yager , R. R. 2010 . Cumulative Distribution Functions, P-boxes and Decisions under Risk . International Journal of Knowledge Engineering and Soft Data Paradigms , 2 : 275 – 283 .
  • Yager , R. R. 2012a . On Z-valuations Using Zadeh’s Z-numbers . International Journal of Intelligent Systems , 27 : 259 – 278 .
  • Yager , R. R. 2012b . Expansible Measures of Specificity . International Journal of General Systems , 41 : 247 – 263 .
  • Yager, R. R. Forthcoming. “Joint Cumulative Distribution Functions for Dempster–Shafer Belief Structures.” Fuzzy Optimization and Decision Making.
  • Yen , J. 1990 . Generalizing the Dempster–Shafer Theory to Fuzzy Sets . IEEE Transactions on Systems, Man and Cybernetics , 20 : 559 – 570 .
  • Zadeh, L. A. 1978. “Possibility Theory and its Application to Information Analysis.” In Proceedings of International Colloquium on Information Theory, 173–182, CNRS, Paris.
  • Zadeh , L. A. 1996 . Fuzzy Logic = Computing with Words . IEEE Transactions on Fuzzy Systems , 4 : 103 – 111 .
  • Zadeh , L. A. 1999a . From Computing with Numbers to Computing with Words-from Manipulation of Measurements to Manipulations of Perceptions . IEEE Transactions on Circuits and Systems , 45 : 105 – 119 .
  • Zadeh , L. A. 1999b . “ Outline of a Computational Theory of Perceptions Based on Computing with Words ” . In Soft Computing and Intelligent Systems , Edited by: Sinha , N. K. and Gupta , M. M. 3 – 22 . Boston , MA : Academic Press .
  • Zadeh , L. A. 2002 . “ Some Reflections on Information Granulation and its Centrality in Granular Computing, Computing with Words, the Computational Theory of Perceptions and Precisiated Natural Language ” . In Data Mining, Rough Sets and Granular Computing , Edited by: Lin , T. Y. , Yao , Y. Y. and Zadeh , L. A. 3 – 20 . Heidelberg : Physica-Verlag .
  • Zadeh , L. A. 2005 . Toward a Generalized Theory of Uncertainty (GTU)-an Outline . Information Sciences , 172 : 1 – 40 .
  • Zadeh , L. A. 2006 . Generalized Theory of Uncertainty (GTU)-Principal Concepts and Ideas . Computational Statistics and Data Analysis , 51 : 15 – 46 .
  • Zadeh , L. A. 2011 . A Note on Z-numbers . Information Sciences , 181 : 2923 – 2932 .
  • Zadeh , L. A. 2012 . Computing with Words-principal Concepts and Idea , Berlin : Springer .
  • Zadeh , L. A. and Kacprzyk , J. 1999 . Computing with Words in Information/Intelligent Systems 1 , Heidelberg : Physica-Verlag .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.