Fuzzy Systems
and Soft Computing

Volume 8, No. 2, 2013

• Lepskiy A.E.
  «Relationship between the conflict and decreasing of ignorance from combination evidence»
  
  The index of decreasing of ignorance after applying of combination rules is introduced and studied in the work within the frame of Dempster-Shafer theory. This index is analysed for some special sets (bodies) of evidence. It is shown that a strong correlation between bodies of evidence is a sufficient condition to decrease of ignorance after applying of combination rules. In addition, measure of conflict between the evidence introduced by axiomatically. A general view of a bilinear measure of conflict found. The upper and lower bounds dependence of the index decreasing of ignorance from the value of measures of the conflict after applying Dempster combination rule found.

  Keywords: Dempster-Shafer theory, combination rules, imprecision index, conflict measure.

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

  Bibliographic citation
  Lepskiy A.E. Relationship between the conflict and decreasing of ignorance from combination evidence. Nechetkie sistemy i myagkie vychisleniya [Fuzzy Systems and Soft Computing], 2013, vol. 8, no. 2, pp. 65-82. (in Russian)
• Yazenin A.V., Shefova N.A.
  «On behavior of set of quasi efficient portfolios in possibilistic-probabilistic model depending on levels of possibilities and probabilities»
  
  The paper is devoted to investigation of a model of minimal risk portfolio with hybrid uncertainty of possibilistic-probabilistic type. In the model the expected value of an asset and, therefore, the expected value of portfolio is explicated by fuzzy random variable. The expected value is considered in the model by means of possibility/necessity and probability restrictions on acceptable for investor level of profitability. The obtained results characterize the behavior of a set of quasieffective investment opportunities depending on value of possibility/necessity and probability for restriction.

  Keywords: investment portfolio, fuzzy random environment, set of quasieffective investment opportunities, possibilistic (fuzzy) random variable, possibility measure, necessity measure, possibility/necessity and probability restrictions.

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

  Bibliographic citation
  Yazenin A.V., Shefova N.A. On behavior of set of quasi efficient portfolios in possibilistic-probabilistic model depending on levels of possibilities and probabilities. Nechetkie sistemy i myagkie vychisleniya [Fuzzy Systems and Soft Computing], 2013, vol. 8, no. 2, pp. 83-94. (in Russian)
• Ionin V.K.
  «Fuzzy metric and antimetric structures»
  
  The paper introduces and studies the notion of fuzzy metric and antimetric spaces, based on the general concept of mathematical structure.

  Keywords: fuzzy metric space, fuzzy antimetric space, fuzzy logic, t-norm.

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

  Bibliographic citation
  Ionin V.K. Fuzzy metric and antimetric structures. Nechetkie sistemy i myagkie vychisleniya [Fuzzy Systems and Soft Computing], 2013, vol. 8, no. 2, pp. 95-100. (in Russian)
• Sorokina I.V., Sorokin S.V.
  «On parameters estimation for multidimensional possibility distributions»
  
  Wang Xizhao and Ha Minghu presented a method of maxmin \mu/E parameters estimation of fuzzy distributions in one-dimensional case (Fuzzy Sets and Systems, vol. 94). This paper generalizes it to the case of multi-dimensional distributions. It also shows that the estimation is consistent and sufficient. Our method is based on geometrical approach, where minimal area enclosing ellipsoid is constructed around the sample.

  Keywords: fuzzy distribution, parameter estimation, maxmin estimation.

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

  Bibliographic citation
  Sorokina I.V., Sorokin S.V. On parameters estimation for multidimensional possibility distributions. Nechetkie sistemy i myagkie vychisleniya [Fuzzy Systems and Soft Computing], 2013, vol. 8, no. 2, pp. 101-113. (in Russian)

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