Robust linear programming with IT2 rough coefficients

Article type: Research Article

Authors: Wang, Li^{a; *} | Jin, Lei^{b; c}

Affiliations: [a] School of Applied Mathematics, Xiamen University of Technology, Xiamen, Fujian Province, China | [b] School of Environmental Science and Engineering, Xiamen University of Technology, Xiamen, Fujian Province, China | [c] Faculty of Engineering, University of Regina, Regina, SK S4S 0A2, Canada

Correspondence: [*] Corresponding author. Li Wang, School of Applied Mathematics, Xiamen University of Technology, Fujian Province, Xiamen, Fujian Province, 361024, China. Tel.: +086 5926291067; E-mail: [email protected].

Abstract: In this paper, a robust linear programming is considered, where all of its coefficients in the objective function and constraints are rough intervals or IT2 rough interval coefficients. First, we allow the IT2 rough intervals to transform into rough intervals using [α1,  α2] level. Then, a robust two-step solution method (RTSM) is developed to solve the robust linear programming problem with IT2 rough interval coefficients (LPIT2RIC). Finally, an example is presented to demonstrate the results.

Keywords: Linear programming, uncertainty, T2 fuzzy set theory, rough set theory, IT2 rough coefficients

DOI: 10.3233/JIFS-17783

Journal: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 3, pp. 1995-2001, 2018