The mathematical models of various uncertain systems in engineering and scientific practice can be described by interval systems and interval optimization models,which are of more practical value and theoretical significance.The article mainly discusses the interval solution problem of interval inequalities.Based on logical quantifiers,a new concept of AE interval solution is defined for the first time,and corresponding characterizations are fully proposed.In particular,the characterizations of weak interval solution,strong interval solution,tolerance interval solution and control interval solution of the interval inequalities Ax ≤ b are established.The main results may provide an theoretical basis for the study of interval optimization problems in a general form.
关键词
区间系统/区间线性不等式组/AE区间解
Key words
interval systems/interval linear inequalities/AE interval solutions
维普
万方数据