Possibility Measure Space

FirasHusseanMaghool

doi:https://doi.org/10.14445/22315373/IJMTT-V35P527

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 35 | Number 3 | Year 2016 | Article Id. IJMTT-V35P527 | DOI : https://doi.org/10.14445/22315373/IJMTT-V35P527

Possibility Measure Space

FirasHusseanMaghool

Abstract

In this paper, we defineapossibility measureas a set function Pos : F [0,1] where F is - field and discuss some properties of possibility measure to prove important theory.

Keywords

σ-field, measurable space , possibility measure.

References

[1] R.B .Ash, "Real Analysis and probability", university of lllinois,Academic press(1972).
[2] B. R Gaines and L. Kohout, Possible automata. Proc. Int. Symp. Multiple-Valued logics, Bloomington, IN, pages 183-196, 1975.
[3] L. A. Zadeh, “Fuzzy sets as a basis for a theory of possibility,”Fuzzy Sets and Systems, vol. 1, pp. 3–28, 1978
[4 ] B. Liu, Uncertainty Theory, 2nd ed., Springer- Verlag, Berlin, 2007.

Citation :

FirasHusseanMaghool, "Possibility Measure Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 35, no. 3, pp. 191-196, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V35P527