基于区间不确定语言信息的可能度研究
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摘要
本文给出了一个新的基于区间不确定语言信息的可能度公式。首先,拓展了一个现有的基于区间数的可能度公式,将其表示为基于区间不确定语言信息的可能度公式,其次,给出拓展后的可能度公式的优良性质,例如互补性、传递性等,最后,结合UEOWA算子,通过实例说明这个拓展后的基于区间不确定语言信息的可能度公式的合理性。
This paper gives a new possibility degree formula based on the interval uncertain linguistic information.Firstly,we expend a the existing possibility degree formula based on the interval number,it represented as possibility degree formula interval based on linguistic information,Secondly,it gives the related properties for the expended possibility formula such as complementarity,transitivity,etc. and proofs. Finally,we combine UEOWA operators,we illustrate the feasibility of the expended possibility formula based on the interval uncertain linguistic information by means of an example.
This paper gives a new possibility degree formula based on the interval uncertain linguistic information.Firstly,we expend a the existing possibility degree formula based on the interval number,it represented as possibility degree formula interval based on linguistic information,Secondly,it gives the related properties for the expended possibility formula such as complementarity,transitivity,etc. and proofs. Finally,we combine UEOWA operators,we illustrate the feasibility of the expended possibility formula based on the interval uncertain linguistic information by means of an example.
引文
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[11] Xu Z S,Da Q L.Possibility degree method for ranking interval numbers and its application[J].J of Systems Engineering,2003,18(1):67～70.
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[17] 徐泽水.模糊互补判断矩阵排序的一种算法[J].系统工程学报,2001,16(4):311～314.
[18] 徐泽水.基于语言信息的决策理论与方法[M].科学出版社,2008:34～35.
[2] Herrera F,Martinez L.A 2-tuple fuzzy linguistic representation model for computing with words[J].IEEE Transactions on Fuzzy Systems,2000,(8):747.
[3] 戴跃强等.语言信息评估新标度及其应用[J].中国管理科学,2008,16(2):145～146.
[4] 徐泽水.不确定多属性决策方法及应用[M].北京:清华大学出版社,2004.
[5] Zhang A,Bi W H,Tang Z L.Human-machine function allocation method for aircraft cockpit based on interval 2-tuple linguistic information[J].Journal of Systems Engineering and Electronics,2016,27(6):1291～1302.
[6] Xu Z S.Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment[J].Information Science,2004,168(1～4):171～184.
[7] Deng F,Feng L Y,Wang S M .Research on the evaluation model of urban tourism management efficiency with uncertain linguistic information[J].Journal of Control Science & Engineering,2014,(2):2～4.
[8] Xu Z S.A direct approach to group decision making with uncertain additive linguistic preference relations[J].Fuzzy Optimization and Decision Making,2006,5(1):21～32.
[9] Xu Y J,Da Q L.A method for multiple attribute decision making with incomplete weight information under uncertain linguistic environment[J].Information Science,2008,21(8):837～841.
[10] 徐泽水.语言多属性决策的目标规划模型[J].管理科学学报,2006,9(2):9～17.
[11] Xu Z S,Da Q L.Possibility degree method for ranking interval numbers and its application[J].J of Systems Engineering,2003,18(1):67～70.
[12] Zhang J J.Research on method for ranking interval numbers[J].Operations Research and Management Science,2003,12(3):18～22.
[13] Facchinetti G,Ricci R G,Muzzioli S.Note on ranking fuzzy triangular numbers[J].International Journal of Intelligence Systems,1998,13:613～622.
[14] Da Q L,Liu X W.Interval number linear programming and its satisfactory solution[J].Systems Engineering Theory & Practice,1999,19(4):3～8.
[15] 高峰记,罗友仁.区间指派问题研究及应用[C]//决策科学理论与方法——中国系统工程学会决策科学专业委员会第四届学术年会论文集.北京:海洋出版社,2001:267～271.
[16] 陈畴镛,徐龙光.供应链管理中的合作伙伴选择模型[M].中国管理科学,2001,9(S):57～62.
[17] 徐泽水.模糊互补判断矩阵排序的一种算法[J].系统工程学报,2001,16(4):311～314.
[18] 徐泽水.基于语言信息的决策理论与方法[M].科学出版社,2008:34～35.