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So the proposed dynamic control system can be represented as a fuzzy differential system which optimize the profit of the production inventory control model through Pontryagin\u2019s maximum principle. The proposed fuzzy control problem has been transformed into an equivalent crisp differential system using \u201ce\u201d and \u201cg\u201d operators. The deterministic system is then solved by using Newton\u2019s forward-backward method through MATLAB. Finally some numerical results are presented both in tabular and graphical form.<\/jats:p>","DOI":"10.1051\/ro\/2017047","type":"journal-article","created":{"date-parts":[[2017,6,13]],"date-time":"2017-06-13T06:37:10Z","timestamp":1497335830000},"page":"473-486","source":"Crossref","is-referenced-by-count":12,"title":["Use of \u201ce\u201d and \u201cg\u201d operators to a fuzzy production inventory control model for substitute items"],"prefix":"10.1051","volume":"53","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7453-9357","authenticated-orcid":false,"given":"Debnarayan","family":"Khatua","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anupam","family":"De","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kalipada","family":"Maity","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Samarjit","family":"Kar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"250","published-online":{"date-parts":[[2019,5,1]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"156","DOI":"10.1016\/j.ins.2013.02.026","volume":"236","author":"Ahmad","year":"2013","journal-title":"Inf. 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