Affiliations: North China Electric Power University, Beijing, China
Correspondence:
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Corresponding author: Hu Xu, North China Electric Power University, No. 2, Bei Nong Road, Hui Longguan Town, Chang Ping District, Beijing, China. Tel.: +86 15810305848; E-mail:[email protected]
Abstract: This paper proposes an almost stochastic dominance based
method for solving the stochastic multiple attribute decision making (SMADM)
problems, where the attribute values of alternatives are represented by
interval number with probability distribution (INPD), a random variable with
closed interval support. Firstly, we present the basic operations, set
operations and weighted operators of INPD to accomplish the normalization,
weight and aggregation of decision information. Then, based on the concept
of almost stochastic dominance, we propose a new stochastic dominance degree
(SDD) to quantify the uncertain relation between INPD. The identification of
ideal solution and the measurement of separation are accomplished with SDD.
On this basis, an extended TOPSIS method is proposed, including
normalization method, identification of ideal solution, calculation of
separation and decision making procedure. Finally, the numerical examples
show that the new method is effective even under extremely uncertain
environment, and it can produce more accurate result.
Keywords: Interval number with probability distribution, stochastic dominance degree, stochastic multiple attributes decision making, TOPSIS
