Dual hesitant fuzzy matrix games: based on new similarity measure
Dual hesitant fuzzy matrix games: based on new similarity measure
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DOI：
10.1007/s00500-018-3486-1
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发表时间：
2018-08
期刊：
影响因子：
4.1
通讯作者：
Jishu Jana;S. K. Roy
中科院分区：
文献类型：
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作者：
Jishu Jana;S. K. Roy
对偶犹豫模糊集是处理不精确、不确定或不完全信息数据的一种有效的数学方法。对偶犹豫模糊集是犹豫模糊集的一种推广，它包含了模糊集、直觉模糊集和犹豫模糊集作为一种特殊的模糊集。本文给出了对偶犹豫模糊集之间相似度量的公理化定义。引入了一种新的相似性度量方法，该方法考虑了对偶犹豫模糊集的隶属函数和非隶属函数。结果表明，相应的距离测度可以从建议的相似性度量。为了检验相似性度量的实用性，将其应用于矩阵博弈的双向近似推理系统中。具有精确数据的矩阵对策在现实生活中的决策问题中很难得到应用。考虑到更现实的意义，我们将矩阵博弈的支付中的模糊元素作为对偶犹豫模糊元素，将其作为对偶犹豫模糊矩阵博弈处理。给出了无约束的对偶犹豫模糊矩阵对策（DHFMGR）的数学描述.四个算法出现在建议的相似性度量，这是挑起找到DHFMGR的最佳值。最后通过一个算例说明了该方法在对偶犹豫模糊矩阵对策中的适用性和可行性。最后，本文的结论，包括在这一方向的未来研究的展望。
The dual hesitant fuzzy set is an effective mathematical approach to deal with the data which are imprecise, uncertain or incomplete information. Dual hesitant fuzzy set is an extension of hesitant fuzzy set which encloses fuzzy set, intuitionistic fuzzy set and hesitant fuzzy set as a special one. In this paper, the axiomatic definition of similarity measure between the dual hesitant fuzzy set is presented. A new similarity measure by considering membership and non-membership functions of dual hesitant fuzzy set is introduced. It is shown that the corresponding distance measure can be obtained from the proposed similarity measure. To check the utility, the proposed similarity measure is applied in a bidirectional approximate reasoning system into matrix game. Matrix game with precise data is hardly applicable in real-life decision-making problem. In view of more realistic sense, we choose the elements as dual hesitant fuzzy into the payoff of the matrix game, which is treated as dual hesitant fuzzy matrix game. Mathematical formulation ofdual hesitant fuzzy matrix game with on restriction(DHFMGR) is described. Four algorithms are emerged on the proposed similarity measure, which are provoked to find the optimal value of the DHFMGR. A numerical example is incorporated to illustrate the applicability and feasibility of the proposed measure in dual hesitant fuzzy matrix game. The paper ends with the conclusions including an outlook for future study in this direction.