{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,15]],"date-time":"2026-05-15T22:19:53Z","timestamp":1778883593820,"version":"3.51.4"},"reference-count":58,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[2021,6,8]],"date-time":"2021-06-08T00:00:00Z","timestamp":1623110400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems: Applications in Engineering and Technology"],"published-print":{"date-parts":[[2021,9,15]]},"abstract":"<jats:p>The low-carbon supply chain management is big a challenge for the researchers due to the rapid increase in global warming and environmental concerns. With the advancement of the environmental concerns and social economy, it is an unavoidable choice for a business to achieve sustainable growth for low-carbon supply chain management. Since the root of the chain depends upon the supplier selection and choosing an excellent low-carbon supply. Green supplier selection is one of the most crucial activities in low-carbon supply chain management, it is critical to develop rigorous requirements and a system for selection in low-carbon green supply chain management (LCGSCM). A q-rung orthopair fuzzy number (q-ROFN) is pair of membership degree (MD) and non-membership degrees (NMD) which is reliable to address uncertainties in the various real-life problems. This article sets out a decision analysis approach for interactions between MDs and NMDs with the help of q-ROFNs. For this objective, we develop new aggregation operators (AOs) named as, q-rung orthopair fuzzy interaction weighted averaging (q-ROFIWA) operator, q-rung orthopair fuzzy interaction ordered weighted averaging (q-ROFIOWA) operator, q-rung orthopair fuzzy interaction hybrid averaging (q-ROFIHA) operator, q-rung orthopair fuzzy interaction weighted geometric (q-ROFIWG) operator, q-rung orthopair fuzzy interaction ordered weighted geometric (q-ROFIOWG) operator and q-rung orthopair fuzzy interaction hybrid geometric (q-ROFIHG) operator. These AOs define an advanced approach for information fusion and modeling uncertainties in multi-criteria decision-making (MCDM). At the end, a robust MCDM approach based on newly developed AOs is developed. Some significant properties of these AOS are analyzed and the efficiency of the developed approach is assessed with a practical application towards sustainable low-carbon green supply chain management.<\/jats:p>","DOI":"10.3233\/jifs-210506","type":"journal-article","created":{"date-parts":[[2021,6,15]],"date-time":"2021-06-15T13:54:36Z","timestamp":1623765276000},"page":"4109-4126","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":38,"title":["Novel q-rung orthopair fuzzy interaction aggregation operators and their application to low-carbon green supply chain management"],"prefix":"10.1177","volume":"41","author":[{"given":"Muhammad","family":"Riaz","sequence":"first","affiliation":[{"name":"University of the Punjab","place":["Pakistan"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Harish","family":"Garg","sequence":"additional","affiliation":[{"name":"Thapar Institute of Engineering and Technology","place":["India"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hafiz Muhammad Athar","family":"Farid","sequence":"additional","affiliation":[{"name":"University of the Punjab","place":["Pakistan"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Muhammad","family":"Aslam","sequence":"additional","affiliation":[{"name":"King Khalid University Abha","place":["Saudi Arabia"]}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2021,6,8]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1111\/j.1468-2370.2007.00202.x"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2014.11.015"},{"key":"e_1_3_2_4_2","unstructured":"United Nation. Goal 13: Take Urgent Action to Combat Climate Change and Its Impacts. Available online: https:\/\/www.un.org\/sustainabledevelopment\/climate-change-2\/ (accessed on 22 April 2019)."},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1108\/JMTM-09-2017-0188"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.resconrec.2018.05.002"},{"issue":"1","key":"e_1_3_2_7_2","first-page":"21","article-title":"The seven principles of supply chain management","volume":"1","author":"Anderson D.","year":"1997","unstructured":"AndersonD., BrittF. and FavreD., The seven principles of supply chain management, Supply Chain Management Review 1(1) (1997), 21\u201331.","journal-title":"Supply Chain Management Review"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2013.09.048"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1111\/j.1745-493X.1966.tb00818.x"},{"key":"e_1_3_2_10_2","first-page":"29","article-title":"The determinants of vendor selection: evaluation function approach","volume":"8","author":"Wind Y.","year":"1968","unstructured":"WindY. and RobinsonP.J., The determinants of vendor selection: evaluation function approach, Journal of Purchasing and Materials Management 8 (1968), 29\u201341.","journal-title":"Journal of Purchasing and Materials Management"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2009.05.009"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/0377-2217(91)90033-R"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2010.04.044"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.pursup.2010.06.004"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1108\/02635570810844124"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.1108\/MEQ-11-2016-0086"},{"key":"e_1_3_2_17_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-015-2004-4"},{"key":"e_1_3_2_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2016.09.059"},{"key":"e_1_3_2_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2015.11.016"},{"key":"e_1_3_2_20_2","doi-asserted-by":"publisher","DOI":"10.3390\/ijerph13090923"},{"key":"e_1_3_2_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.rser.2014.09.028"},{"key":"e_1_3_2_22_2","doi-asserted-by":"publisher","DOI":"10.1080\/1331677X.2019.1615971"},{"key":"e_1_3_2_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"e_1_3_2_24_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_3_2_25_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.21584"},{"key":"e_1_3_2_26_2","doi-asserted-by":"crossref","unstructured":"YagerR.R. Pythagorean fuzzy subsets IFSA World Congress and NAFIPS Annual Meeting (IFSA\/NAFIPS) 2013 Joint Edmonton Canada IEEE (2013) 57\u201361.","DOI":"10.1109\/IFSA-NAFIPS.2013.6608375"},{"key":"e_1_3_2_27_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2016.2604005"},{"key":"e_1_3_2_28_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2006.890678"},{"issue":"1","key":"e_1_3_2_29_2","first-page":"31","article-title":"Some generalized aggregation operators for cubic hesitant fuzzy sets and their application to multi-criteria decision making","volume":"49","author":"Mahmood T.","year":"2017","unstructured":"MahmoodT., MehmoodF. and KhanQ., Some generalized aggregation operators for cubic hesitant fuzzy sets and their application to multi-criteria decision making, Punjab University Journal of Mathematics 49(1) (2017), 31\u201349.","journal-title":"Punjab University Journal of Mathematics"},{"key":"e_1_3_2_30_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-130806"},{"issue":"2","key":"e_1_3_2_31_2","first-page":"1977","article-title":"A Novel Approach to Censuses Process by using Pythagorean m-polar Fuzzy Dombi\u2019s Aggregation Operators","volume":"38","author":"Hashmi M.R.","year":"2020","unstructured":"HashmiM.R. and RiazM., A Novel Approach to Censuses Process by using Pythagorean m-polar Fuzzy Dombi\u2019s Aggregation Operators, International Journal of Fuzzy System Applications 38(2) (2020), 1977\u20131995.","journal-title":"International Journal of Fuzzy System Applications"},{"key":"e_1_3_2_32_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.21927"},{"key":"e_1_3_2_33_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.20386"},{"key":"e_1_3_2_34_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2018.2860967"},{"key":"e_1_3_2_35_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.21809"},{"key":"e_1_3_2_36_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-190550"},{"key":"e_1_3_2_37_2","doi-asserted-by":"publisher","DOI":"10.3390\/en13092155"},{"key":"e_1_3_2_38_2","doi-asserted-by":"crossref","unstructured":"RiazM. PamucarD. FaridH.M.A. and HashmiM.R. q-Rung Orthopair Fuzzy Prioritized Aggregation Operators and Their Application Towards Green Supplier Chain Management Symmetry (12) (2020) 976.","DOI":"10.3390\/sym12060976"},{"key":"e_1_3_2_39_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-192114"},{"key":"e_1_3_2_40_2","doi-asserted-by":"publisher","DOI":"10.3390\/sym12061058"},{"issue":"2","key":"e_1_3_2_41_2","first-page":"315","article-title":"Some q-Rung Orthopai Fuzzy Bonferroni Mean Operators and Their Application to Multi-Attribute Group Decision Making","volume":"33","author":"Liu P.","year":"2018","unstructured":"LiuP. and LiuJ., Some q-Rung Orthopai Fuzzy Bonferroni Mean Operators and Their Application to Multi-Attribute Group Decision Making, Journal of Intelligent System 33(2) (2018), 315\u2013347.","journal-title":"Journal of Intelligent System"},{"key":"e_1_3_2_42_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2019.11.035"},{"key":"e_1_3_2_43_2","doi-asserted-by":"publisher","unstructured":"RiazM. GargH. FaridH.M.A. and ChinramR. Multi-criteria decision making based on bipolar picture fuzzy operators and new distance measures Computer Modeling in Engineering & Sciences (2021) doi: 10.32604\/cmes.2021.014174.","DOI":"10.32604\/cmes.2021.014174"},{"issue":"12","key":"e_1_3_2_44_2","first-page":"2341","article-title":"Multiple attribute group decision making based on q-rung orthopair fuzzy Heronianmean operators","volume":"33","author":"Liu Z.","year":"2018","unstructured":"LiuZ., WangS. and LiuP., Multiple attribute group decision making based on q-rung orthopair fuzzy Heronianmean operators, Journal of Intelligent System 33(12) (2018), 2341\u20132363.","journal-title":"Journal of Intelligent System"},{"issue":"1","key":"e_1_3_2_45_2","first-page":"125","article-title":"Confidence levels q-rung orthopair fuzzy aggregation operators and its applications to MCDM problems","volume":"35","author":"Joshi B.P.","year":"2019","unstructured":"JoshiB.P. and GegovA., Confidence levels q-rung orthopair fuzzy aggregation operators and its applications to MCDM problems, Journal of Intelligent System 35(1) (2019), 125\u2013149.","journal-title":"Journal of Intelligent System"},{"key":"e_1_3_2_46_2","doi-asserted-by":"publisher","unstructured":"GargH. CN-q-ROFS: Connection number based q-rung orthopair fuzzy set and their application to decision-making process International Journal of Intelligent Systems (2021) 1\u201338. doi: https:\/\/doi.org\/10.1002\/int.22406.","DOI":"10.1002\/int.22406"},{"key":"e_1_3_2_47_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-020-04859-x"},{"issue":"11","key":"e_1_3_2_48_2","first-page":"2139","article-title":"Another view on q-rung orthopair fuzzy sets","volume":"33","author":"Ali M.I.","year":"2018","unstructured":"AliM.I., Another view on q-rung orthopair fuzzy sets, Journal of Intelligent System 33(11) (2018), 2139\u20132153.","journal-title":"Journal of Intelligent System"},{"key":"e_1_3_2_49_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-020-05193-z"},{"key":"e_1_3_2_50_2","doi-asserted-by":"publisher","DOI":"10.2991\/ijcis.d.201215.002"},{"key":"e_1_3_2_51_2","doi-asserted-by":"crossref","unstructured":"WangL. and LiN. Pythagorean fuzzy interaction power Bonferroni mean aggregation operators in multiple attribute decision making 35(1) (2020) 150\u2013183.","DOI":"10.1002\/int.22204"},{"key":"e_1_3_2_52_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-162030"},{"key":"e_1_3_2_53_2","doi-asserted-by":"publisher","DOI":"10.3233\/FI-2018-1669"},{"key":"e_1_3_2_54_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2020.114051"},{"key":"e_1_3_2_55_2","doi-asserted-by":"publisher","unstructured":"YangY. ChenZ.S. RodriguezR.M. PedryczW. and ChinK.S. Novel fusion strategies for continuous interval\u2013valued q\u2013rung orthopair fuzzy information: a case study in quality assessment of Smart Watch appearance design International Journal of Machine Learning and Cybernetics DOI:\/10.1007\/s13042-020-01269-2","DOI":"10.1007\/s13042-020-01269-2"},{"key":"e_1_3_2_56_2","doi-asserted-by":"publisher","DOI":"10.3390\/sym12081236"},{"issue":"3","key":"e_1_3_2_57_2","first-page":"69","article-title":"Policy decision making based on some averaging aggregation operators of T\u2013spherical fuzzy sets; a multi-attribute decision making approach","volume":"3","author":"Ullah K.","year":"2020","unstructured":"UllahK., MahmoodT., JanN. and AhmadZ., Policy decision making based on some averaging aggregation operators of T\u2013spherical fuzzy sets; a multi-attribute decision making approach, Annals of Optimization Theory & Practices 3(3) (2020), 69\u201392.","journal-title":"Annals of Optimization Theory & Practices"},{"issue":"3","key":"e_1_3_2_58_2","first-page":"51","article-title":"An algorithm for an improved intuitionistic fuzzy correlation measure with medical diagnostic application","volume":"3","author":"Ejegwa P.A.","year":"2020","unstructured":"EjegwaP.A., OnyekeI.C. and AdahV., An algorithm for an improved intuitionistic fuzzy correlation measure with medical diagnostic application, Annals of Optimization Theory & Practices 3(3) (2020), 51\u201368.","journal-title":"Annals of Optimization Theory & Practices"},{"issue":"1","key":"e_1_3_2_59_2","first-page":"47","article-title":"Geometric operators based on linguistic interval-valued intuitionistic neutrosophic fuzzy number and their application in decision making","volume":"3","author":"Fahmi A.","year":"2020","unstructured":"FahmiA., AmlinF. and ShahS.B.H., Geometric operators based on linguistic interval-valued intuitionistic neutrosophic fuzzy number and their application in decision making, Annals of Optimization Theory & Practices 3(1) (2020), 47\u201361.","journal-title":"Annals of Optimization Theory & Practices"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems: Applications in Engineering and Technology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-210506","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/JIFS-210506","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-210506","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:43:08Z","timestamp":1777455788000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/JIFS-210506"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,6,8]]},"references-count":58,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2021,9,15]]}},"alternative-id":["10.3233\/JIFS-210506"],"URL":"https:\/\/doi.org\/10.3233\/jifs-210506","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,6,8]]}}}