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Original Articles

RELATIVE UNCERTAINTY AND EVIDENCE SETS: A CONSTRUCTIVIST FRAMEWORK

Pages 35-61 | Received 01 Jan 1996, Published online: 25 Jun 2007

References

  • Atanassov , K. , [ 1994 ], “Operators over interval valued intuitionistic fuzzy sets.” Fuzzy Sets and Systems , 64 , pp. 159 – 174 .
  • de Cooman , G. , D. Ruan ,E. Kerre (Eds.)., [ 1995 ], Foundations and Applications of Possibility Theory . World Scientific Press .
  • Dubois , D. , H. Prade , [ 1985 ], “A note on measures of specificity for fuzzy sels.” International Journal of General Systems , 10 , pp. 279 – 283 .
  • Dubois , D. , H. Prade [ 1986 ], “A set|–theoretic view of belief functions logical operations and approximalions by fuzzy sets.” International Journal of General Systems , 12 , pp. 193 – 226 .
  • Dubois , D. , H. Prade , [ 1987 ], “Properties of measures of information in evidence and possibility theories.” Fuzzy Sets and Systems , 14 , pp. 161 – 182 .
  • Glanville , R. , [ 1988 ], Objekte . Merve Verlag .
  • Gorzalczany , M. B. , [1987], “A method of inference in approximate reasoning based on intervalvalued fuzzy sets.” Fuzzy Sets and Systems , 21 , pp. 1 – 17 .
  • Harmanec , D. , G. Klir , [ 1994 ], “Measuring total uncertainty in Dempsler-Shafer theory a novel approach.” International Journal of General Systems , 22 , pp. p405–4l9 p.
  • Hartley , R. , [ 1928 ], “Transmission of Informations” The Bell System Technical Journal . 7 , pp. 535 – 563 .
  • Henry , C. , L. M. Rocha , [ 1996 ], “Language theory consensual selection of dynamics.” Cybernetics and Systems An Internationa! Journal . Vol. n27 n pp. 541 – 553 .
  • Heylighen , F. , C. Joslyn , [ 1992 ], “Physical constructivism.” Principia Cybernetica Web. WWW document http//pespmcl.vub.ac.be/physcons.html.
  • Higashi , M. , G. Klir , [ 1983 ], ldquo;Measures of uncertainty and information based on possibility distributions.” International Journal of General Systems , 9 , pp. 43 – 58 .
  • Hirota , K. , [ 1981 ], “Concepts of probabilistic sets.” Fuzzy Sets and Systems , 5 , pp. 31 – 46 .
  • Klir , G. J. , T. Fotger , [ 1988 ], Fuzzy Sets, Uncertainty, and Information . Prentice Hall .
  • Klir , G. J. , A. Ramer ., [ 1990 ], “Uncertainty in the Demster-Shafer theory a critical re-examination,” International Journal of General Systems , 18 , pp. 155 – 166 .
  • Klir , G. J. , Bo Yuan , [ 1995 ], Fuzzy Sets and Fuzzy Logic Theory and Applications . Prentice Hall .
  • Klir , George J . , [ 1991 ], Facets of Systems Science . Plenum Press .
  • Klir , George J . , [ 1991b ], “Generalized Information Theory” Fuzzy Sets and Systems , 40 , pp. 127 – 142 .
  • Klir , George J . , [ 1993 ], “Developments in uncertainty-based information.” In Advances in Computers . M. Yovits (Ed.) . 36 , pp. 255 – 332 .
  • Krarnosil , I. , [ 1995 ], “Believeability and plausibility functions over infinite sets.” International Journal of General Systems , 23 . pp. 173 – 198 .
  • lsn . G . , [ 1987 ], Women, Fire, and Dangerous Things What Categories Reveal about the Mind . University of Chicago Press .
  • Maturana , H. , F. Varela , [ 1987 ], The Tree of Knowledge The Biological Roots of Human Understanding . New Science Library .
  • Maturana , H. , [ 1979 ], “Biology of language the epistemology of reality.” Psychology and Biology of Language and Thought Essays in honor of Eric Lenneberg . Academic Press , pp. 27 – 63 .
  • Medina-Martins , P. , L. Rocha , et al., [ 1994 ], “Metalogues an essay on computers’ psychology-from childhood to adulthood.” In Cybernetics and Systems 94. R. Trappl (Ed.) . World Scientific Press , pp. 565 – 572 .
  • Medina-Martins , P. , L. Rocha ., [ 1992 ], “The in and the out an evolutionary approach.” In Cybernetics and Systems 92. R. Trappl (Ed.) . World Scientific Press , pp. 681 – 689 .
  • Nakamura , K. , S. Iwai , [ 1982 ], “A representation of analogical inference by fuzzy sets and its application to information retrieval systems.” In Fuzzy Information and Decision Processes . Gupta and Sanchez (Eds.). North-Holland , pp. 373 – 386 .
  • Osherson , D. , E. Smith , [ 1981 ], “On the adequacy of prototype theory as a theory of concepts.” ; Cognition , 9 , pp. 35 – 58 .
  • Pask , Gordon [ 1975 ], Conversation, Cognition,Learning A Cybernetic Theory and Methodology . Elsevier .
  • Piaget , J. , [ 1971 ], The Construction of Reality in the Child . Ballantine Books .
  • Ramer , A. , [ 1987 ], “Uniqueness of information measure in the theory of evidence.” Fuzzy Sets and Systems , 24 , pp. 183 – 196 .
  • Ramer , R. [ 1990 ], “Concepts of fuzzy information on continuous domains.” International Journal of General Systems . 17 . pp. 241 – 248 .
  • Random House . , [ 1994 ], Webster's Electronic Dictionary and Thesaurus . WordPerfect Corporation .
  • Resconi , G. , G. Klir , U. St. Clair,D. Harmanec., [ 1993 ], “On the Integration of Uncertainty Theories.” International Journal Of Uncertainty, Fuzziness and Knowledge-Based Systems , 1 ( 1 ), pp. 1 – 18 ,
  • Rocha . Luis M . \, [ 1994 ], “Cognitive categorization revisited extending interval valued fuzzy sets as simulation tools concept combination.” In Proc. of the 1994 Int . Conference of NAFIPS/IF1S/NASA IEEE Press , pp. 400–404 .
  • Rocha , Luis M . , [ 1995a ], “Contextual genetic algorithms evolving developmental rules.” In Advances in Artificial Life . J. Moran, A. Moreno, J. J. Merelo, and P. Chacon (Eds.) . Springer-Verlag , pp. 368 – 382 .
  • Rocha , Luis M . , [ 1995b ), “Interval based evidence sets.” ; In Proc. oflSUMA-NAFIPS‘95 IEEE Press , pp. 624 – 629 .
  • Rocha , Luis M . , [ 1995c ], “Selected self-organization from eigenbehavior to descriptions.” In Evolutionary Systems. Vienna 1995. S. Salthe and G. Van de Vijver. MIT Press , (in press) .
  • Rocha , Luis M. , [ 1996 |, “Eigenbehavior and symbols.” Systems Research , 12 ( 3 ) pp. 371 – 384 .
  • Rocha , L. M. , [ 1997 ], “Evidence Sets Contractual Categories” In Semiotics and Control Ed. M. Coombs Santa Fe Institute Series in the Sciences of Complexity . Addison-Wesley In Press .
  • Rocha , L. M. , V. Kreinovich ,K. B. Kearfott., [ I996 ], “Computing uncertainly in interval based sets.” In Applications of Interval Compulations . V. Kreinovich and K. B. Kearfott (Eds.) . Kluwer , pp. 337|–380.
  • Rosch , E. , | 1975 ], “Cognitive representations of semantic categories.” J. of Experimental Psychology , 104 , pp. 27 – 48 .
  • Rosch . E. , [ 1978 ], “Principles of categorization.” In Cognition and Categorization . E. Rosch and B. Lloyd (Eds.) . Hillsdale , pp. 27 – 48 .
  • Schum , D. A. , [ 1994 ], Evidential Foundations of Probabilistic Reasoning . John Wiley and Sons .
  • Shafer , G. , [ 1976 ], A Mathematical Theory of Evidence Princeton University Press .
  • Shafer , G. , J. Pearl (Eds.)., [ 1990 ], Readings in Uncertain Reasoning . Morgan Kauffman .
  • Smith , E. , D. Osherson , [ 1984 ], “Conceptual combination with prototype concepts.” Cognitive Science , 8 , pp. 337 – 361 .
  • Turksen , B. , [ 1986 ], “Interval valued fuzzy sets based on normal forms.” Fuzzy Sets and Systems , 20 , pp. 191 – 210 .
  • Turksen , B. , [ 1994 ], “Interval valued fuzzy sets and fuzzy measures.” In Proc. oftheNAFIPS/IFIS/NASA ‘94 IEEE Press , pp. 317 – 321 .
  • Varela F. E. Thompson ,E. Rosch., [ 1991 ], The Embodied Mind Cognitive Science and Human Experience. MIT. von Glascrfcld . E. [ 1995], Radical Constructivism A Way of Knowing and Learning . The Falmer Press . von Focrsler, Heinz [ 1977], “Objects tokens for (eigen-)behaviors.” In Hommage a Jean Piaget Epistemologie Geneliqtie el Equilibration. B. Inhelder, R. Gracia, and J. Voneche (Eds). Delachaux et Niestel. Reprinted in von Focrsler [1981] .
  • Wang , Z. , G. Klir , [ 1992 ], Fuzzy Measure Theory . Plenum Press .
  • Yager , R. R. , [ 1979 |, “On the measure of fuzziness and negation. Part I membership in the unit interval.” International Journal of General Systems , 5 , pp. 221 – 229 .
  • Yager , R. R. , [ 1980 ], “On the measure of fuzziness and negation Part II lattices.” Information and Control , 44 , pp. 236 – 260 .
  • Yager , R. R. , [ 1982 ], “An introduction to applications of possibility theory.” Human Systems Management , 3 , pp. 246 – 269 .
  • Yager , R. R. F . , [ 1983 ], “Entropy and specificity in a mathematical theory of evidence.” International Journal of General Systems , 9 , pp. 249 – 260 .
  • Zadeh , Lofti A . , [ 1965 ], “Fuzzy Sets.” Information and Control , 8 , pp. 338 – 353 .
  • Zadeh , Lofti A. , [ 1971 ], “Quantitative fuzzy semantics.” Informations Sciences , 3 , pp. 159 – 176 .
  • Zadeh , Lofti A . , [ 1975 ], “The concept of a linguistic variable and its application to approximate reasoning, I, II, and III.” Information Sciences , 8 , pp. 199 – 249 , pp. 301|–357. 9. pp. 43|–80 .
  • Zadeh , Lofli A. , [ 1978 ], ldquo;PRUF-a meaning representation language for natural languages.” InternationaiJoumal of Man-Machine Studies , 10 . pp. 383 – 410 .
  • Zhu . Q . and E. S . Lee . , [ 1995 ], “Evidence theory in multivalued logic systems.” International Journal of Intelligent Systems , 10 , pp. 185 – 199 .
  • Luis Mateus Rocha is a Doctorate Candidate at the Department of Systems Science and Industrial Engineering, of the T.J. Watson School of Engineering and Applied Science at the State University of New York at Binghamton, where he works with George Klir and Howard Pattee. Born in Angola in 1966, he moved to Portugal in 1975. After graduating from a Licentiate Degree in Mechanical Engineering and Control Systems in 1990 at I.S.T. in Lisbon, Portugal, he frequented the Msc, in Industrial Engineering at the Staffordshire University. England. He has published and edited several articles in the areas of Fuzzy Logic, Artificial Intelligence. Artificial Life, and Evolutionary Systems. He works on the utilization of formal tools such as Genetic Algorithms, Fuzzy Logic, Interval Computation, Evidence Theory, and Neural Networks in the development of computational models of evolutionary systems with both self-organizing and evolutionary characteristics. He is interested in semiolic and evolutionary constructivisi models of biological and cognitive systems and its applications to complex systems. He has been the recipient of several scholarships by the European Union and the Portuguese Government, as well as several awards such as the best paper award for the 13th European Meeting on Cybernetics and Systems Research in 1996 and the Gordon Pask memorial award.

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