Standard form of interval linear programming and its solution 區(qū)間線性規(guī)劃的標(biāo)準(zhǔn)型及其求解
Interactive interval linear programming algorithm for a class of multiple - criteria decision problems 一類多準(zhǔn)則決策問(wèn)題的區(qū)間線性規(guī)劃交互式算法
According to order relations defined between fuzzy numbers , the pareto less optimal solution and the pareto optimal solution are defined , then a fuzzy evaluation function is introduced into a multiobjective programming problem , this method results in a multiobjective programming problem been converted into a one objective programming problem , accordingly the solution by this method is the pareto less optimal solution to the primitive problem , which is given proof a multiobjective problem with general fuzzy number coefficients is also further discussed , by _ cutset of fuzzy sets a multiobjective problem can be transformed into a interval linear programming problem , and using the method of the previous chapter , we can obtain the pareto less optimal solution 從模糊數(shù)之間的序關(guān)系出發(fā),分別定義了弱較優(yōu)解和較優(yōu)解,然后對(duì)模糊多目標(biāo)問(wèn)題引入模糊評(píng)價(jià)函數(shù),將多目標(biāo)化為單目標(biāo),在此也證明了求得的解為原問(wèn)題的弱較優(yōu)解。還討論了系數(shù)為一般模糊數(shù)的多目標(biāo)問(wèn)題,通過(guò)模糊集的水平集可將多目標(biāo)問(wèn)題轉(zhuǎn)化為區(qū)間數(shù)線性規(guī)劃問(wèn)題,并利用上一章所講的方法,得到原問(wèn)題的弱較優(yōu)解。最后,對(duì)變量為模糊數(shù)的線性規(guī)劃問(wèn)題也進(jìn)行了討論。