基于语言真值直觉模糊推理的公共交通资源投入评估方法
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摘要
为了在智能信息处理中能够对具有可比性和不可比性的语言值信息进行处理,从而对推理过程中的正、反2个方面证据进行处理,提出一种语言真值直觉模糊推理方法;基于格蕴涵代数和2n元语言真值直觉模糊格,研究了语言真值Kleene-Dienes蕴涵算子和语言真值Zadeh蕴涵算子,讨论两者之间的性质和运算关系;利用所提的蕴涵算子构建一种基于模糊语言值推理的公共交通评估方法,以公共交通资源投入实例来说明方法的合理性。结果表明,与传统的模糊蕴涵算子相比,所提的2种蕴涵算子对具有语言值信息的公共交通资源投入评估分析中的信息应用更加全面,所得的具有语言值信息的评估结果更加接近人类思维。
In order to consider both positive and negative evidence information to deal with both comparable and incomparable linguistic-valued information during the reasoning process,a linguistic truth-valued intuitionistic fuzzy reasoning method was presented. Based on the lattice implication algebra and the 2 n-element linguistic truth-valued intuitionistic fuzzy lattice,the linguistic truth-valued Kleene-Dienes implication operator and the linguistic truth-valued Zadeh implication operator were researched and the properties and computational relationships between them were discussed. An assessment approach for public transit resource investment was proposed based on the fuzzy linguistic-valued reasoning using the two operators. An example about public transit resource investment was given to illustrate the rationality of this approach.The results show that comparing with traditional fuzzy implication operators,the linguistic truth-valued Kleene-Dienes implication operator and linguistic truth-valued Zadeh implication operator are more comprehensive with the linguistic-valued information of public transit resource investment. Hence the results with linguistic-valued information are closer to the human thinking.
In order to consider both positive and negative evidence information to deal with both comparable and incomparable linguistic-valued information during the reasoning process,a linguistic truth-valued intuitionistic fuzzy reasoning method was presented. Based on the lattice implication algebra and the 2 n-element linguistic truth-valued intuitionistic fuzzy lattice,the linguistic truth-valued Kleene-Dienes implication operator and the linguistic truth-valued Zadeh implication operator were researched and the properties and computational relationships between them were discussed. An assessment approach for public transit resource investment was proposed based on the fuzzy linguistic-valued reasoning using the two operators. An example about public transit resource investment was given to illustrate the rationality of this approach.The results show that comparing with traditional fuzzy implication operators,the linguistic truth-valued Kleene-Dienes implication operator and linguistic truth-valued Zadeh implication operator are more comprehensive with the linguistic-valued information of public transit resource investment. Hence the results with linguistic-valued information are closer to the human thinking.
引文
[1]ZADEH L A.Fuzzy sets[J].Information and Control,1965,8(3):338-353.
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[5]邹丽.基于语言真值格蕴涵代数的格值命题逻辑及其归结自动推理研究[D].成都:西南交通大学,2010.
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[10]申蔓蔓,乐晓波,周恺卿.一种新的基于直觉模糊Petri网的模糊推理算法[J].计算机工程与科学,2014,37(2):354-358.
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[13]薛占熬,程惠茹,黄海松,等.区间集上的弱S-蕴涵[J].计算机科学与探索,2013,7(3):282-288.
[14]李骏,付超.基于强正则蕴涵算子的加权模糊度量空间[J].计算机工程与应用,2017(5):31-35.
[15]邹丽,谭雪微,张云霞.语言真值直觉模糊逻辑的知识推理[J].计算机科学,2014,41(1):134-137.
[16]常瑞琴.二元组语言值聚合算子及其在电磁环境评价中的应用[D].成都:西华大学,2011.
[17]林琳.直觉模糊推理[D].大连:辽宁师范大学,2003.
[2]ATANASSOV K.Intuionistic fuzzy sets[J].Fuzzy Sets and Systems,1986,20(1):87-96.
[3]张家峰,徐扬,陈琴.语言真值格值命题逻辑中的α-语义归结方法[J].计算机科学,2015,42(11):123-129.
[4]ZOU L,SHI P,PEI Z,et al.On an algebra of linguistic truthvalued intuitionistic lattice-valued logic[J].Journal of Intelligent&Fuzzy Systems,2013,24(3):447-456.
[5]邹丽.基于语言真值格蕴涵代数的格值命题逻辑及其归结自动推理研究[D].成都:西南交通大学,2010.
[6]ZADEH L A.Outline of a new approach to the analysis of complex systems and decision processes[J].IEEE Transactions on Systems,Man,and Cybernetics,1973,3(1):28-44.
[7]王国俊.模糊推理的全蕴涵三I算法[J].中国科学,1999,29(1):43-53.
[8]郑宏亮,徐本强,邹丽.一种基于十元格蕴涵代数的知识表示方法[J].计算机应用与软件,2013,30(1):37-39.
[9]徐本强,谭雪微,邹丽.基于真值支持度的直觉模糊推理方法[J].计算机科学,2016,43(3):68-71.
[10]申蔓蔓,乐晓波,周恺卿.一种新的基于直觉模糊Petri网的模糊推理算法[J].计算机工程与科学,2014,37(2):354-358.
[11]郑慕聪,史忠科,刘艳.剩余型直觉模糊推理的三Ⅰ方法[J].中国科学:信息科学,2013,43(6):810-820.
[12]唐益明,赵跟陆,刘晓平.模糊推理的反向对称蕴涵算法[J].济南大学学报(自然科学版),2015,29(5):355-360.
[13]薛占熬,程惠茹,黄海松,等.区间集上的弱S-蕴涵[J].计算机科学与探索,2013,7(3):282-288.
[14]李骏,付超.基于强正则蕴涵算子的加权模糊度量空间[J].计算机工程与应用,2017(5):31-35.
[15]邹丽,谭雪微,张云霞.语言真值直觉模糊逻辑的知识推理[J].计算机科学,2014,41(1):134-137.
[16]常瑞琴.二元组语言值聚合算子及其在电磁环境评价中的应用[D].成都:西华大学,2011.
[17]林琳.直觉模糊推理[D].大连:辽宁师范大学,2003.