Affiliations: [a] School of Mathematical Sciences, Anhui University, Hefei, Anhui, China | [b] School of Business, Anhui University, Hefei, Anhui, China | [c] Department of foundation, Anhui Occupational College of City Management, Hefei, Anhui, China
Correspondence:
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Correspondence to: Huayou Chen, School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China. Tel.: +86 13615690958; huayouc@126.com
Abstract: The aim of this paper is to develop some measures of entropy for linguistic information and uncertain linguistic information. Based on some given functions with required monotonicity and some kinds of distance measures, we propose two groups of entropies of linguistic fuzzy sets and uncertain linguistic fuzzy sets, respectively. Then, as an application of the proposed entropy measures, we put forward two algorithms for obtaining the objective weight vector of attributes in multiple attributes decision making by utilizing the entropy weight approach and the maximum entropy method. Finally, two cases of subjective evaluation of the building environment are illustrated to show the application of entropies for linguistic information in realworld.
Keywords: Decision making, entropy, linguistic fuzzy sets, uncertain linguistic fuzzy sets, distance measures, subjective evaluation of building environment
