The function of the air target threat evaluation （TE） is the foundation for weapons allocation and senor resources management within the surface air defense. The multi-attribute evaluation methodology is utilized to...The function of the air target threat evaluation （TE） is the foundation for weapons allocation and senor resources management within the surface air defense. The multi-attribute evaluation methodology is utilized to address the issue of the TE in which the tactic features of the detected target are treated as evaluation attributes. Meanwhile, the intuitionistic fuzzy set （IFS） is employed to deal with information uncertainty in the TE process. Furthermore, on the basis of the entropy weight and inclusion-comparison probability, a hybrid TE method is developed. In order to accommodate the demands of naturalistic decision making, the proposed method allows air defense commanders to express their intuitive opinions besides incorporating into the threat features of the detected target. An illustrative example is provided to indicate the feasibility and advantage of the proposed method.展开更多
In order to measure the uncertain information of a type- 2 intuitionistic fuzzy set （T21FS）, an entropy measure of T21FS is presented by using the constructive principles. The proposed entropy measure is also proved...In order to measure the uncertain information of a type- 2 intuitionistic fuzzy set （T21FS）, an entropy measure of T21FS is presented by using the constructive principles. The proposed entropy measure is also proved to satisfy all of the constructive principles. Further, a novel concept of the type-2 triangular in- tuitionistic trapezoidal fuzzy set （T2TITrFS） is developed, and a geometric interpretation of the T2TITrFS is given to comprehend it completely or correctly in a more intuitive way. To deal with a more general uncertain complex system, the constructive principles of an entropy measure of T2TITrFS are therefore proposed on the basis of the axiomatic definition of the type-2 intuitionisic fuzzy entropy measure. This paper elicits a formula of type-2 triangular intuitionistic trapezoidal fuzzy entropy and verifies that it does sa- tisfy the constructive principles. Two examples are given to show the efficiency of the proposed entropy of T2TITrFS in describing the uncertainty of the type-2 intuitionistic fuzzy information and illustrate its application in type-2 triangular intuitionistic trapezodial fuzzy decision making problems.展开更多
This paper presents a general framework for the study of relation-based intuitionistic fuzzy rough sets determined by two intuitionistic fuzzy implicators.By employing two intuitionistic fuzzy implicators I and J,I -l...This paper presents a general framework for the study of relation-based intuitionistic fuzzy rough sets determined by two intuitionistic fuzzy implicators.By employing two intuitionistic fuzzy implicators I and J,I -lower and J-upper approximations of intuitionistic fuzzy sets with respect to an intuitionistic fuzzy approximation space are first defined.Properties of(I,J) -intuitionistic fuzzy rough approximation operators are then examined.The connections between special types of intuitionistic fuzzy relations and properties of (I,J)-intuitionistic fuzzy approximation operators are also established.展开更多
The intuitionistic fuzzy set(IFS) based on fuzzy theory,which is of high efficiency to solve the fuzzy problem, has been introduced by Atanassov. Subsequently, he pushed the research one step further from the IFS to t...The intuitionistic fuzzy set(IFS) based on fuzzy theory,which is of high efficiency to solve the fuzzy problem, has been introduced by Atanassov. Subsequently, he pushed the research one step further from the IFS to the interval valued intuitionistic fuzzy set(IVIFS). On the basis of fuzzy set(FS), the IFS is a generalization concept. And the IFS is generalized to the IVIFS.In this paper, the definition of the sixth Cartesian product over IVIFSs is first introduced and its some properties are explored.We prove some equalities based on the operation and the relation over IVIFSs. Finally, we present one geometric interpretation and a numerical example of the sixth Cartesian product over IVIFSs.展开更多
This paper combines interval-valued intuitionistic fuzzy sets and rough sets.It studies rougheness in interval-valued intuitionistic fuzzy sets and proposes one kind of interval-valued intuitionistic fuzzy-rough sets ...This paper combines interval-valued intuitionistic fuzzy sets and rough sets.It studies rougheness in interval-valued intuitionistic fuzzy sets and proposes one kind of interval-valued intuitionistic fuzzy-rough sets models under the equivalence relation in crisp sets.That extends the classical rough set defined by Pawlak.展开更多
Multiattribute decision making（MADM） problems, in which the weights and ratings of alternatives are expressed with intuitionistic fuzzy（IF） sets, are investigated.Firstly, the relative degrees of membership and th...Multiattribute decision making（MADM） problems, in which the weights and ratings of alternatives are expressed with intuitionistic fuzzy（IF） sets, are investigated.Firstly, the relative degrees of membership and the relative degrees of non-membership are formulated as IF sets, the weights and values of alternatives on both qualitative and quantitative attributes may be expressed as IF sets in a unified way.Then a MADM method based on generalized ordered weighted averaging operators is proposed.The proposed method is illustrated with a numerical example.展开更多
为了实现复杂战场环境下空中目标敌我属性的综合识别,在利用证据权重衡量信息可信度的基础上,提出了一种基于DS证据理论和直觉模糊集相结合(Dempster-Shafer evidence theory-intuitionistic fuzzy sets,DST-IFS)的综合敌我识别方法。首...为了实现复杂战场环境下空中目标敌我属性的综合识别,在利用证据权重衡量信息可信度的基础上,提出了一种基于DS证据理论和直觉模糊集相结合(Dempster-Shafer evidence theory-intuitionistic fuzzy sets,DST-IFS)的综合敌我识别方法。首先,分析了空中目标综合敌我识别问题,给出了具体的识别流程;然后,针对DS(DempsterShafer)函数向直觉模糊集转化过程中存在增大信息不确定性的问题,提出了一种信度分配方法用于直觉模糊隶属度和非隶属度赋值,并利用算例验证了信度分配方法的适应性和有效性;接着,给出了基于理想点法(technique for order preference by similarity to ideal solution,TOPSIS)的DST-IFS决策方法步骤;在此基础上,提出了一种基于DST-IFS的空中目标综合敌我识别的方法;最后进行了实例分析,验证了该综合敌我识别方法的有效性。展开更多
合理的雷达低截获(low probability of interception,LPI)性能评估方法是提高其隐身性能的基础。针对雷达LPI性能难以有效实时评估的问题,提出一种群广义直觉模糊软集(group-generalized intuitionistic fuzzy soft sets,G-GIFSS)算法...合理的雷达低截获(low probability of interception,LPI)性能评估方法是提高其隐身性能的基础。针对雷达LPI性能难以有效实时评估的问题,提出一种群广义直觉模糊软集(group-generalized intuitionistic fuzzy soft sets,G-GIFSS)算法与主客观权重相结合的雷达LPI性能评估方法。首先从反映雷达低截获性能的3个准则层信号层、功率层以及天线层确定6个目标属性指标层,选择直觉模糊集熵法确定客观权重、层次分析法((analytic hierarchy process,AHP))确定主观权重,并线性合成主客观权重。结合G-GIFSS算法利用多专家参量集的优势,对雷达LPI性能进行综合评判。通过案例分析并与经典评估方法对比,验证了该方法的优越性。展开更多
为掌握矿山地质环境问题的影响程度,以调查区多年遥感图像为信息源,通过图像识别技术,解译矿山地物信息,提取量化评价数据;然后结合改进序关系法与拉开档次法,最终建立基于直觉模糊集(Intuitionistic Fuzzy Set,IFS)-理想解法(Technique...为掌握矿山地质环境问题的影响程度,以调查区多年遥感图像为信息源,通过图像识别技术,解译矿山地物信息,提取量化评价数据;然后结合改进序关系法与拉开档次法,最终建立基于直觉模糊集(Intuitionistic Fuzzy Set,IFS)-理想解法(Technique for Order Preference by Similarity to an Ideal Solution,TOPSIS)的矿山地质环境综合评价模型。最后以陕西省富平县曹村镇为实例,基于遥感信息提取数据的分析,并结合研究区矿山开发与自然地理情况,构建矿山地质环境评价指标体系,应用所提出的模型对研究区的矿山进行地质环境评价,得出以矿山为单元的评价等级分区。结果表明,所提出的方法能够客观地反映研究区矿山地质环境现状,能为政府进一步制定矿山地质环境保护与治理政策提供合理参考。展开更多
基金supported by the National Natural Science Foundation of China (70871117 70571086)the Development Foundation of Dalian Naval Academy
文摘The function of the air target threat evaluation （TE） is the foundation for weapons allocation and senor resources management within the surface air defense. The multi-attribute evaluation methodology is utilized to address the issue of the TE in which the tactic features of the detected target are treated as evaluation attributes. Meanwhile, the intuitionistic fuzzy set （IFS） is employed to deal with information uncertainty in the TE process. Furthermore, on the basis of the entropy weight and inclusion-comparison probability, a hybrid TE method is developed. In order to accommodate the demands of naturalistic decision making, the proposed method allows air defense commanders to express their intuitive opinions besides incorporating into the threat features of the detected target. An illustrative example is provided to indicate the feasibility and advantage of the proposed method.
基金supported by the National Natural Science Foundation of China(7137115670971017)the Research Grants Council of the Hong Kong Special Administrative Region,China(City U112111)
文摘In order to measure the uncertain information of a type- 2 intuitionistic fuzzy set （T21FS）, an entropy measure of T21FS is presented by using the constructive principles. The proposed entropy measure is also proved to satisfy all of the constructive principles. Further, a novel concept of the type-2 triangular in- tuitionistic trapezoidal fuzzy set （T2TITrFS） is developed, and a geometric interpretation of the T2TITrFS is given to comprehend it completely or correctly in a more intuitive way. To deal with a more general uncertain complex system, the constructive principles of an entropy measure of T2TITrFS are therefore proposed on the basis of the axiomatic definition of the type-2 intuitionisic fuzzy entropy measure. This paper elicits a formula of type-2 triangular intuitionistic trapezoidal fuzzy entropy and verifies that it does sa- tisfy the constructive principles. Two examples are given to show the efficiency of the proposed entropy of T2TITrFS in describing the uncertainty of the type-2 intuitionistic fuzzy information and illustrate its application in type-2 triangular intuitionistic trapezodial fuzzy decision making problems.
基金supported by grants from the National Natural Science Foundation of China(Nos.61075120, 60673096 and 60773174)the Natural Science Foundation of Zhejiang Province in China(No.Y107262).
文摘This paper presents a general framework for the study of relation-based intuitionistic fuzzy rough sets determined by two intuitionistic fuzzy implicators.By employing two intuitionistic fuzzy implicators I and J,I -lower and J-upper approximations of intuitionistic fuzzy sets with respect to an intuitionistic fuzzy approximation space are first defined.Properties of(I,J) -intuitionistic fuzzy rough approximation operators are then examined.The connections between special types of intuitionistic fuzzy relations and properties of (I,J)-intuitionistic fuzzy approximation operators are also established.
基金supported by the National Natural Science Foundation of China(61373174)
文摘The intuitionistic fuzzy set(IFS) based on fuzzy theory,which is of high efficiency to solve the fuzzy problem, has been introduced by Atanassov. Subsequently, he pushed the research one step further from the IFS to the interval valued intuitionistic fuzzy set(IVIFS). On the basis of fuzzy set(FS), the IFS is a generalization concept. And the IFS is generalized to the IVIFS.In this paper, the definition of the sixth Cartesian product over IVIFSs is first introduced and its some properties are explored.We prove some equalities based on the operation and the relation over IVIFSs. Finally, we present one geometric interpretation and a numerical example of the sixth Cartesian product over IVIFSs.
基金supported by grants from the National Natural Science Foundation of China(Nos.10971185 and 10971186)the Natural Science Foundation of Fujiang Province in China(No.2008F5066).
文摘This paper combines interval-valued intuitionistic fuzzy sets and rough sets.It studies rougheness in interval-valued intuitionistic fuzzy sets and proposes one kind of interval-valued intuitionistic fuzzy-rough sets models under the equivalence relation in crisp sets.That extends the classical rough set defined by Pawlak.
基金supported by the National Natural Science Foundation of China (70871117 70571086)
文摘Multiattribute decision making（MADM） problems, in which the weights and ratings of alternatives are expressed with intuitionistic fuzzy（IF） sets, are investigated.Firstly, the relative degrees of membership and the relative degrees of non-membership are formulated as IF sets, the weights and values of alternatives on both qualitative and quantitative attributes may be expressed as IF sets in a unified way.Then a MADM method based on generalized ordered weighted averaging operators is proposed.The proposed method is illustrated with a numerical example.
文摘为了实现复杂战场环境下空中目标敌我属性的综合识别,在利用证据权重衡量信息可信度的基础上,提出了一种基于DS证据理论和直觉模糊集相结合(Dempster-Shafer evidence theory-intuitionistic fuzzy sets,DST-IFS)的综合敌我识别方法。首先,分析了空中目标综合敌我识别问题,给出了具体的识别流程;然后,针对DS(DempsterShafer)函数向直觉模糊集转化过程中存在增大信息不确定性的问题,提出了一种信度分配方法用于直觉模糊隶属度和非隶属度赋值,并利用算例验证了信度分配方法的适应性和有效性;接着,给出了基于理想点法(technique for order preference by similarity to ideal solution,TOPSIS)的DST-IFS决策方法步骤;在此基础上,提出了一种基于DST-IFS的空中目标综合敌我识别的方法;最后进行了实例分析,验证了该综合敌我识别方法的有效性。
文摘合理的雷达低截获(low probability of interception,LPI)性能评估方法是提高其隐身性能的基础。针对雷达LPI性能难以有效实时评估的问题,提出一种群广义直觉模糊软集(group-generalized intuitionistic fuzzy soft sets,G-GIFSS)算法与主客观权重相结合的雷达LPI性能评估方法。首先从反映雷达低截获性能的3个准则层信号层、功率层以及天线层确定6个目标属性指标层,选择直觉模糊集熵法确定客观权重、层次分析法((analytic hierarchy process,AHP))确定主观权重,并线性合成主客观权重。结合G-GIFSS算法利用多专家参量集的优势,对雷达LPI性能进行综合评判。通过案例分析并与经典评估方法对比,验证了该方法的优越性。
文摘为掌握矿山地质环境问题的影响程度,以调查区多年遥感图像为信息源,通过图像识别技术,解译矿山地物信息,提取量化评价数据;然后结合改进序关系法与拉开档次法,最终建立基于直觉模糊集(Intuitionistic Fuzzy Set,IFS)-理想解法(Technique for Order Preference by Similarity to an Ideal Solution,TOPSIS)的矿山地质环境综合评价模型。最后以陕西省富平县曹村镇为实例,基于遥感信息提取数据的分析,并结合研究区矿山开发与自然地理情况,构建矿山地质环境评价指标体系,应用所提出的模型对研究区的矿山进行地质环境评价,得出以矿山为单元的评价等级分区。结果表明,所提出的方法能够客观地反映研究区矿山地质环境现状,能为政府进一步制定矿山地质环境保护与治理政策提供合理参考。
