A comparison index for interval ordering based on generalized Hukuhara difference

作者：Guerra Maria Letizia^*; Stefanini Luciano

来源：Soft Computing, 2012, 16(11): 1931-1943.

DOI：10.1007/s00500-012-0866-9

• Interval-valued functions
• Generalized Hukuhara difference
• Interval analysis
• Interval optimization

Interval methods is one option for managing uncertainty in optimization problems and in decision management. The precise numerical estimation of coefficients may be meaningless in real-world applications, because data sources are often uncertain, vague and incomplete. In this paper we introduce a comparison index for interval ordering based on the generalized Hukuhara difference; we show that the new index includes the commonly used order relations proposed in literature. The definition of a risk measure guarantees the possibility to quantify a worst-case loss when solving maximization or minimization problems with intervals.

• 出版日期2012-11