Possibility degree method for ranking interval numbers andits application

This paper presents a possibility degree formula for t he comparison be tween two interval numbers, and has a detailed study on relationships between th e formula and the ones proposed in [1.Facchinetti G , Ricci R C, Muzzioli S. Note on ranking fuzzy triangular numbers. International Journal of Intelligent Systems, 1998,13:613-622; 2. DA Qing_li, LIU Xin_wang. In terval numbers linear programming and its satisfactory solution. Systems Enginee ring—Theory Practice,1999,19(4):3-7]. Their desirable properties such as c om plementary, transitivity, etc. are studied. Then, based on these formulas, a pos sibility degree method for ranking interval numbers is given. Finally, the metho d is utilized to rank the alternatives in uncertain multi_attribute decision mak ing.