Stability in Multiobjective Possibilistic Linear Programs with Weakly Noninteractive Fuzzy Number Coefficients

Stability and sensitivity analysis becomes more and more attractive also in the area of multiple objective mathematical programming (for excellent surveys see e.g. [Gal86] and [Rios90]). Publications on this topic usually investigate the impact of parameter changes (in the righthand side or/and the objective function or/and the ’A-matrix’ or/and the domination structure) on the solution in various models of vectormaximization problems, e.g. linear or non-linear, deterministic or stochastic, static or dynamic (see e.g. [Dev79, Rari83, Rios91]). There are only few paper dealing with stability or sensitivity analysis in fuzzy mathematical programming (e.g. [Ham78, Tan86, Ful89, Fed92, Fef92, Dut92]). In this paper, generalizing the earlier results [Fed92,Fef92] of the second and third co-authors’, we show that the possibility distribution of the objectives of an Multiobjective Possibilistic Linear Program (MPLP) under continuous triangular norms is stable under small changes in the membership function of the continuous fuzzy number parameters.