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Archimedean copulas and co-copulas can not only reveal the correlation among variables but also prevent information loss when they are used as aggregation functions in the aggregation process. Here, LNN operations are redefined based on Archimedean copulas and co-copulas. Meanwhile, some specific cases are discussed. Then, a linguistic neutrosophic improved generalized weighted Choquet Heronian mean operator is developed. According to the proposed operator, a multi-criteria decision-making method is proposed to tackle the selection problem of low-carbon suppliers. The influences of different generated functions and parameters are discussed, and the feasibility of the proposed method are validated through comparative analyses.<\/jats:p>","DOI":"10.3233\/jifs-190041","type":"journal-article","created":{"date-parts":[[2019,7,23]],"date-time":"2019-07-23T13:39:26Z","timestamp":1563889166000},"page":"2887-2912","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":20,"title":["Novel operations for linguistic neutrosophic sets on the basis of Archimedean copulas and co-copulas and their application in\u00a0multi-criteria decision-making problems"],"prefix":"10.1177","volume":"37","author":[{"given":"Ting","family":"Chen","sequence":"first","affiliation":[{"name":"School of Business, Central South University, Changsha, PR China"}]},{"given":"Sang-Sang","family":"He","sequence":"additional","affiliation":[{"name":"School of Business, Central South University, Changsha, PR China"}]},{"given":"Jian-Qiang","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Business, Central South University, Changsha, PR China"}]},{"given":"Lin","family":"Li","sequence":"additional","affiliation":[{"name":"School of Business, Hunan University, Changsha, PR China"}]},{"given":"Hanyang","family":"Luo","sequence":"additional","affiliation":[{"name":"College of Management, Shenzhen University, Shenzhen, PR China"}]}],"member":"179","published-online":{"date-parts":[[2019,7,22]]},"reference":[{"key":"e_1_3_3_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"e_1_3_3_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_3_3_4_2","article-title":"Grey method for multi-attribute decision making with incomplete weight information under Pythagorean fuzzy setting","author":"Khan M.S.A.","year":"2018","unstructured":"KhanM.S.A., AbdullahS. and LuiP.D., Grey method for multi-attribute decision making with incomplete weight information under Pythagorean fuzzy setting, Journal of Intelligent Systems (2018). 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