Journal of Systems Engineering and Electronics ›› 2011, Vol. 33 ›› Issue (2): 350-355.doi: 10.3969/j.issn.1001-506X.2011.02.24

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Probability of interval-valued intuitionistic fuzzy events and its general forms

FAN Lei, LEI Ying-jie   

  1. Missile Institute, Air Force Engineering University, Sanyuan 713800, China
  • Online:2011-02-28 Published:2010-01-03

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Abstract:

To describe fuzzy characteristics in stochastic phenomena, a solution by interval-valued intuitionistic fuzzy sets (IVIFS) is proposed. Firstly, the concep of interval-valued intuitionistic fuzzy events (IVIFE) in sample space is defined, and a descriptive definition of the probability of IVIFE is given. Secondly, IVIFS t-norm and s-norm are defined, and the axioms definition of IVIFE is given. Thirdly, the probability of IVIFE divisible and nondivisible general forms is particularly investigated, then the feasibility for the nondivisible form is minutely testified. Finally, the application of the nondivisible form is testified.

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