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This paper is about multi-attribute group decision making problems in which the attribute values are stated with TzCFNs, which are solved by developing a new decision method based on power average operators of TzCFNs. The new operation laws for TzCFNs are given. Hereby, the power average operator of real numbers is extended to four kinds of power average operators of TzCFNs, involving the power average operator of TzCFNs, the weighted power average operator of TzCFNs, the power ordered weighted average operator of TzCFNs, and the power hybrid average operator of TzCFNs. In the proposed group decision method, the individual overall evaluation values of alternatives are generated by using the power average operator of TzCFNs. Applying the hybrid average operator of TzCFNs, the specific general evaluation standards of alternatives are then combined into the collective ones, which are used to rank the alternatives. The example analysis shows the practicality and effectiveness of the proposed method.<\/jats:p>","DOI":"10.1515\/jisys-2018-0122","type":"journal-article","created":{"date-parts":[[2019,12,24]],"date-time":"2019-12-24T04:01:58Z","timestamp":1577160118000},"page":"1643-1661","source":"Crossref","is-referenced-by-count":3,"title":["Power Average Operators of Trapezoidal Cubic Fuzzy Numbers and Application to Multi-attribute Group Decision Making"],"prefix":"10.1515","volume":"29","author":[{"given":"Aliya","family":"Fahmi","sequence":"first","affiliation":[{"name":"Department of Mathematics , Hazara University Mansehra , Mansehra , Pakistan"}]},{"given":"Fazli","family":"Amin","sequence":"additional","affiliation":[{"name":"Department of Mathematics , Hazara University Mansehra , Mansehra 21120 , Pakistan"}]},{"given":"Saleem","family":"Abdullah","sequence":"additional","affiliation":[{"name":"Department of Mathematics , Abdul Wali Khan University Mardan , Mardan , Pakistan"}]},{"given":"Muhammad","family":"Shakeel","sequence":"additional","affiliation":[{"name":"Department of Mathematics , Hazara University Mansehra , Mansehra , Pakistan"}]}],"member":"374","published-online":{"date-parts":[[2019,12,24]]},"reference":[{"key":"2025120523362787107_j_jisys-2018-0122_ref_001","doi-asserted-by":"crossref","unstructured":"F. 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