Computational Procedures of the Evidence Theory for Interval and Fuzzy Assignments of the Basic Probability Masses for Focal Elements

2019
Oleg Uzhga-Rebrov, Ekaterina Karaseva, Vasily V. Karasev

The evidence theory is ascribed to a specific kind of uncertainty. In this theory, uncertainty refers to the fact that the element of our interest (the true world) may be included in subsets of other similar elements (possible worlds). In the original evidence theory, the estimates of the basic probability masses for the focal elements are given in an unambiguous form. In practice, to obtain such estimates is often difficult or even impossible. In such a situation, the relevant estimates are given in the interval or fuzzy form. The goal of the paper is to present and analyse the calculation procedures for determination of the belief functions and plausibility functions in the evidence theory for cases when the initial estimates are given in the interval or fuzzy form.

Atslēgas vārdi
Belief function; data incompleteness; evidence theory; frame of discernment; focal elements; fuzzy value; inaccuracy; interval probability; interval value; membership function; plausibility function; probability mass; uncertainty
DOI
10.7250/itms-2019-0007
Hipersaite
https://doi.org/10.7250/itms-2019-0007

Uzhga-Rebrov, O., Karaseva, E., Karasev, V. Computational Procedures of the Evidence Theory for Interval and Fuzzy Assignments of the Basic Probability Masses for Focal Elements. Information Technology and Management Science, 2019, Vol. 22, 47.-51. lpp. ISSN 2255-9086. e-ISSN 2255-9094. Pieejams: doi:10.7250/itms-2019-0007

Publikācijas valoda
English (en)