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A Quantitative Approach to Quasi Fuzzy Numbers

Christer Carlsson, Robert Fullér, József Mezei, A Quantitative Approach to Quasi Fuzzy Numbers. In: Son Kuswadi (Ed.), Proceedings of the World Congress of International Fuzzy Systems Association 2011 and Asia Fuzzy Systems Society International Conference 2011, FN-001-1 - FN-001-6, Electronic Engineering Polytechnic Institute of Surabaya-ITS, Kampus ITS, Surabaya, 2011.

Abstract:

In this paper we generalize the principles of possibilistic mean value, variance, covariance and correlation of fuzzy numbers to quasi fuzzy numbers. We will show some necessary and sufficient conditions for the existence of possibilistic mean value and variance for quasi fuzzy numbers. Considering the standard exponential probability distribution as a quasi fuzzy number we will compare the possibilistic and the probabilistic correlation coefficients.

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BibTeX entry:

@INPROCEEDINGS{inpCaFuMe11a,
  title = {A Quantitative Approach to Quasi Fuzzy Numbers},
  booktitle = {Proceedings of the World Congress of International Fuzzy Systems Association 2011 and Asia Fuzzy Systems Society International Conference 2011},
  author = {Carlsson, Christer and Fullér, Robert and Mezei, József},
  editor = {Kuswadi, Son},
  publisher = {Electronic Engineering Polytechnic Institute of Surabaya-ITS, Kampus ITS, Surabaya},
  pages = {FN-001-1 - FN-001-6},
  year = {2011},
  keywords = {Possibilistic mean value, variance},
}

Belongs to TUCS Research Unit(s): Institute for Advanced Management Systems Research (IAMSR)

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