{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,2]],"date-time":"2026-02-02T14:01:08Z","timestamp":1770040868715,"version":"3.49.0"},"reference-count":45,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2016,10]]},"abstract":"<jats:p>The purpose of this paper is to propose a new approach to interactive multi-attribute group decision making with triangular Atanassov's intuitionistic fuzzy numbers (TAIFNs). The contribution of this study is fivefold: (1) Minkowski distance between TAIFNs is firstly defined; (2) We define the possibility attitudinal expected values of TAIFNs and thereby present a novel risk attitudinal ranking method of TAIFNs which can sufficiently consider the risk attitude of decision maker; (3) The weighted average operator (TAIFWA) and generalized ordered weighted average (TAIFGWA) operator of TAIFNs are defined as well as the hybrid ordered weighted average (TAIFHOWA) operator; (4) To study the interaction between attributes, we further develop the generalized Choquet (TAIF-GC) integral operator and generalized hybrid Choquet (TAIF-GHC) integral operator of TAIFNs. Their desirable properties are also discussed; (5) The individual overall value of alternative is obtained by TAIF-GC operator and the collective one is derived through TAIFWA operator. Fuzzy measures of attribute subsets and expert weights are objectively derived through constructing multi-objective optimization model which is transformed into the goal programming model to solve. The system analyst selection example verifies effectiveness of the proposed approach.<\/jats:p>","DOI":"10.1142\/s0218488516500306","type":"journal-article","created":{"date-parts":[[2016,10,10]],"date-time":"2016-10-10T07:12:18Z","timestamp":1476083538000},"page":"647-683","source":"Crossref","is-referenced-by-count":18,"title":["Generalized Choquet Integral Operator of Triangular Atanassov\u2019s Intuitionistic Fuzzy Numbers and Application to Multi-Attribute Group Decision Making"],"prefix":"10.1142","volume":"24","author":[{"given":"Jiu-Ying","family":"Dong","sequence":"first","affiliation":[{"name":"School of Statistics, Jiangxi University of Finance and Economics, Nanchang, Jiangxi 330013, China"},{"name":"Research Center of Applied Statistics, Jiangxi University of Finance and Economics, No. 168, Shuanggang East Street, Nanchang, Jiangxi 330013, China"}]},{"given":"Li-Lian","family":"Lin","sequence":"additional","affiliation":[{"name":"College of Information Technology, Jiangxi University of Finance and Economics, Nanchang, Jiangxi 330013, China"}]},{"given":"Feng","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Information Technology, Jiangxi University of Finance and Economics, Nanchang, Jiangxi 330013, China"}]},{"given":"Shu-Ping","family":"Wan","sequence":"additional","affiliation":[{"name":"College of Information Technology, Jiangxi University of Finance and Economics, Nanchang, Jiangxi 330013, China"}]}],"member":"219","published-online":{"date-parts":[[2016,10,10]]},"reference":[{"issue":"9","key":"p_1","first-page":"1348","volume":"26","author":"Wang J. 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