Fuzzy Systems
and Soft Computing

Volume 4, No. 1, 2009

• Lotfi A. Zadeh
  «Generalized Theory of Uncertainty (GTU) – Principal Concepts and Ideas» (in English)
  
  Uncertainty is an attribute of information. The path-breaking work of Shannon has led to a universal acceptance of the thesis that information is statistical in nature. Concomitantly, existing theories of uncertainty are based on probability theory. The generalized theory of uncertainty (GTU) departs from existing theories in essential ways. First, the thesis that information is statistical in nature is replaced by a much more general thesis that information is a generalized constraint, with statistical uncertainty being a special, albeit important case. Equating information to a generalized constraint is the fundamental thesis of GTU. Second, bivalence is abandoned throughout GTU, and the foundation of GTU is shifted from bivalent logic to fuzzy logic. As a consequence, in GTU everything is or is allowed to be a matter of degree or, equivalently, fuzzy. Concomitantly, all variables are, or are allowed to be granular, with a granule being a clump of values drawn together by a generalized constraint. And third, one of the principal objectives of GTU is achievement of NL-capability, that is, the capability to operate on information described in natural language. NL-capability has high importance because much of human knowledge, including knowledge about probabilities, is described in natural language. NL-capability is the focus of attention in the present paper.

  Resources: title page of the article, elibrary.ru.

• Zenina N.V., Borisov A.N.
  «Neural networks for traffic flow analysis»
  
  Traffic flow intensity forecasting is an integral part of the transport plan\-ning of the city. An efficient flow forecast enables obtaining a more reliable prospect of the future. This paper describes the predictor of the traffic flow on the basis of the artificial neural network. There is shown a practical example of the forecast based on existing data, collected in the city of Riga. An analysis of the solution sensitivity and of weight connections were performed for evaluation of the accuracy and truthfulness of the model. The testing of the predictor on one week data has demonstrated satisfactory quality of the forecast.

  Keywords: traffic flow, forecast, artificial neural networks.

  Resources: elibrary.ru.

• Gordeev R.N.
  «Some properties of fuzzy similarity relations»
  
  We study some fuzzy similarity relations in finite sets, based on generalized connectives such as t-norms, t-conorms and aggregation functions. The paper gives necessary and sufficient conditions for t-norms and t-conorms that provide fuzzy relation be a fuzzy similarity relation.

  Keywords: t-norm, t-conorm, aggregation function, fuzzy similarity relation.

  Resources: elibrary.ru.

• Novikova V.N.
  «Fuzzy stochastic transport task»
  
  Research started in [Novikova, 2007] continues in the article. The received methods of the solutions of possibility-probability optimisation's problems are specified for an fuzzy stochastic transport task in two statements. The results are demonstrated on an example.

  Keywords: fuzzy variable, fuzzy random variable, fuzzy stochastic transport task.

  Resources: elibrary.ru.

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