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Weighted Conjunctive and Disjunctive Aggregation of Possibilistic Truth Values

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Part of the Lecture Notes in Computer Science book series (LNAI,volume 4529)

Abstract

In this paper, weighted aggregation of extended possibilistic truth values will be presented. The impact of the weights on both conjunctive and disjunctive aggregation will be handled, and special care will be given to the case where both conjunctive and disjunctive aggregation are mixed together. The problems that can arise will be illustrated and solutions will be proposed.

Keywords

  • Intermediate Result
  • Membership Degree
  • Aggregation Operator
  • Neutral Element
  • Math Test

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References

  1. Bosc, P., Kraft, D.H., Petry, F.E.: Fuzzy sets in database and information systems: Status and opportunities. Fuzzy Sets and Systems 156(3), 418–426 (2005)

    CrossRef  MathSciNet  Google Scholar 

  2. De Tré, G.: Extended Possibilistic Truth Values. International Journal of Intelligent Systems 17, 427–446 (2002)

    CrossRef  MATH  Google Scholar 

  3. De Tré, G., De Caluwe, R., Verstraete, J., Hallez, A.: Conjunctive Aggregation of Extended Possibilistic Truth Values and Flexible Database Querying. In: Andreasen, T., Motro, A., Christiansen, H., Larsen, H.L. (eds.) FQAS 2002. LNCS (LNAI), vol. 2522, pp. 344–355. Springer, Heidelberg (2002)

    Google Scholar 

  4. De Tré, G., De Caluwe, R.: Modelling Uncertainty in Multimedia Database Systems: An Extended Possibilistic Approach. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 11(1), 5–22 (2003)

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. De Tré, G., De Baets, B.: Aggregating Constraint Satisfaction Degrees Expressed by Possibilistic Truth Values. IEEE Transactions on Fuzzy Systems 11(3), 361–368 (2003)

    CrossRef  Google Scholar 

  6. Dubois, D., Fargier, H., Prade, H.: Beyond min aggregation in multicriteria decision (ordered) weighted min, discri-min and leximin. In: Yager, R.R., Kacprzyk, J. (eds.) The ordered weighted averaging operators: Theory and applications, pp. 181–192. Kluwer Academic Publishers, Boston (1997)

    Google Scholar 

  7. Prade, H.: Possibility sets, fuzzy sets and their relation to Lukasiewicz logic. In: Proc. of the 12th International Symposium on Multiple-Valued Logic, Paris, France, pp. 223–227 (1982)

    Google Scholar 

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Authors

Editor information

Patricia Melin Oscar Castillo Luis T. Aguilar Janusz Kacprzyk Witold Pedrycz

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© 2007 Springer Berlin Heidelberg

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Matthé, T., De Tré, G., Hallez, A. (2007). Weighted Conjunctive and Disjunctive Aggregation of Possibilistic Truth Values. In: Melin, P., Castillo, O., Aguilar, L.T., Kacprzyk, J., Pedrycz, W. (eds) Foundations of Fuzzy Logic and Soft Computing. IFSA 2007. Lecture Notes in Computer Science(), vol 4529. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72950-1_18

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  • DOI: https://doi.org/10.1007/978-3-540-72950-1_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72917-4

  • Online ISBN: 978-3-540-72950-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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