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This paper deals with proposing two family of similarity measures between Hesitant Fuzzy Linguistic Term Sets. It will proved that the proposed similar measures satisfy the properties of the axiomatic definition for similarity measures and introduces several theorems. A method is also suggested to rank Hesitant Fuzzy Linguistic Term Sets. Then some desirable properties of the ranking method is put into investigation. An illustrative example from the area of decision making will be used to present the calculation of the similar measures and preference degrees between Hesitant Fuzzy Linguistic Term Sets.

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