关键词: 广义模糊软集, 犹豫模糊软集, 广义犹豫模糊软集, 相似度量, 包含度

Abstract: The concept of generalized hesitant fuzzy soft set is proposed based on the generalized fuzzy soft set and hesitant fuzzy soft set in this paper, and the similarity measure of the generalized hesitant fuzzy soft sets is discussed. At first, the similarity measure formula of hesitant fuzzy set is constructed by using three kinds of inclusion degree of hesitant fuzzy sets. Then the axiomatic definition of similarity measures of the generalized hesitant fuzzy soft set is provided based on hesitant fuzzy set similarity measure, and similarity measure formula of the generalized hesitant fuzzy soft set is constructed. The similarity measure of generalized hesitant fuzzy soft sets with different parameter sets can be calculated by using these formulas. Finally, a decision method is constructed by using the similarity measurement of generalized hesitant fuzzy soft set, and the decision-making method is applied to the problems of environmental governance. It can be verified the feasibility and effectiveness of the proposed method.

Key words: generalized fuzzy soft set, hesitant fuzzy soft set, generalized hesitant fuzzy soft set, similarity measures, inclusion degrees