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The earlier part of the paper describes the concept of the possibility mean, variance and covariance of generalized intuitionistic fuzzy number. Furthermore, we show that possibility mean and variance of linear combination of generalized intuitionistic trapezoidal fuzzy numbers can be computed in a conventional way to those probability theory. Another part of this paper investigates a multi-item inventory model with inventory level dependent demand in generalized intuitionistic fuzzy environment. By employing the possibility mean and variance, the multi-item generalized intuitionistic fuzzy inventory model (MGIFim) is transformed into an equivalent deterministic linear programming problem. Finally, the model is illustrated with the help of numerical example, and to validated the proposed model few sensitivity analyses are also presented under different parameters.<\/jats:p>","DOI":"10.3233\/jifs-17298","type":"journal-article","created":{"date-parts":[[2018,6,29]],"date-time":"2018-06-29T16:40:23Z","timestamp":1530290423000},"page":"1021-1036","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":19,"title":["A multi-item generalized intuitionistic fuzzy inventory model with inventory level dependent demand using possibility mean, variance and covariance"],"prefix":"10.1177","volume":"35","author":[{"given":"Totan","family":"Garai","sequence":"first","affiliation":[{"name":"Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal, India"}]},{"given":"Dipankar","family":"Chakraborty","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal, India"}]},{"given":"Tapan Kumar","family":"Roy","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal, India"}]}],"member":"179","published-online":{"date-parts":[[2018,6,28]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_3_1_4_2","author":"Dubois D.","year":"1980","unstructured":"DuboisD., PradeH., Fuzzy Sets and Systems: Theory and Applications Academic Press, New York 1980.","journal-title":"Fuzzy Sets and Systems: Theory and Applications"},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.microrel.2008.07.059"},{"key":"e_1_3_1_6_2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488513500128"},{"key":"e_1_3_1_7_2","doi-asserted-by":"publisher","DOI":"10.1080\/18756891.2013.857150"},{"key":"e_1_3_1_8_2","first-page":"321","article-title":"Aggregation operators on intuitionistic trapezoidal fuzzy number and its application to multi-criteria decision making problems","volume":"20","author":"Wang J.Q.","year":"2019","unstructured":"WangJ.Q. and ZhangZ., Aggregation operators on intuitionistic trapezoidal fuzzy number and its application to multi-criteria decision making problems, Journal of System Engineering Electronic 20 (2019), 321\u2013326.","journal-title":"Journal of System Engineering Electronic"},{"key":"e_1_3_1_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2013.07.001"},{"key":"e_1_3_1_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(78)90029-5"},{"key":"e_1_3_1_11_2","unstructured":"DuboisD. and PradeH. 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