Affiliations: [a] Department of Mathematics, Hunan University of Science and Technology, Xiangtan, Hunan, P.R. China | [b] School of Mathematics, Thapar Institute of Engineering and Technology, Deemed University, Patiala, Punjab, India
Correspondence:
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Corresponding author. Donghai Liu, Department of Mathematics, Hunan University of Science and Technology, Xiangtan, Hunan 411201, P.R. China. E-mail: [email protected].
Abstract: Set pair analysis is a successful theory to deal with the certainty and uncertainty in the system based on “identity”-“discrepancy”-“contrary” degree of the connection number. It is very important to construct a reasonable connection number for handling the uncertainty between the feature of set pair. Considering the semantics of linguistic terms, we define a new approach to propose a linguistic connection number(LCN) corresponding to linguistic intuitionistic fuzzy number based on the set pair analysis theory and numerical scale function for semantics of linguistic terms. Then we define a cosine distance measure between the new LCNs and develop the TOPSIS method to the proposed cosine distance measure. Furthermore, we give a numerical example of coal mine safety evaluation to illustrate the proposed method, and the sensitivity analysis of the ranking results is made based on different numerical scale functions. The feasibility and effectiveness of the proposed method are also verified by comparison with the existing methods.
Keywords: Set pair analysis, numerical scale function, cosine distance measure, TOPSIS, linguistic intuitionistic fuzzy set
