摘要：Highlights•Some drawbacks of the existing ordering relations for hesitant fuzzy sets are examined(see example2–4).•A new priority degrees formula for comparing two hesitant fuzzy sets is presented.•The desirable priority degree properties are studied.•A new hesitant fuzzy multiple attribute decision making methodology is proposed based on an introduced priority degree formula.AbstractIn this paper, some drawbacks to existing ordering relations for hesitant fuzzy sets are examined using examples. To overcome these flaws, a priority degree formula for comparing two hesitant fuzzy sets is presented and the desirable priority degree properties studied. Then, based on an introduced priority degree formula, a new hesitant fuzzy multiple attribute decision making methodology is proposed. Finally, a numerical example together with a comparison analysis is given to illustrate the effectiveness and feasibility of the new approach to decision making applications.
关键词：KeywordsPriority degreeOrder relationsHesitant fuzzy setsMultiple attribute decision making
