Stability on multiobjective quadratic programming problems with fuzzy parameters

This paper deals with multiobjective quadratic programming problems with fuzzy parametes (FMOQP(S)). For such problems, some stability notions such as the solvability set and the stability set of the first kind (SSK 1) are defined and characterized. An algorithm is proposed for the determination of the set (SSK 1) for the fuzzy multiobjective quadratic problem after introducing the so called alpha-level set of the fuzzy numbers. A numerical example is included to clarify the developed theory and the proposed algorithm.