期刊
SOFT COMPUTING
卷 23, 期 18, 页码 8873-8886出版社
SPRINGER
DOI: 10.1007/s00500-018-3486-1
关键词
Matrix games; Hesitant fuzzy set; Dual hesitant fuzzy set; Similarity measure; Bidirectional approximate reasoning system
资金
- Council of Scientific and Industrial Research (CSIR) [09/599(0067)/2016-EMR-I]
- Portuguese Foundation for Science and Technology (FCT-Fundacao para a Cienciaea Tecnologia), through the CIDMA-Center for Research and Development in Mathematics and Applications, University of Aveiro, Portugal [UID/MAT/04106/2013]
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 of dual 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.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据